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items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Thermodynamics</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202411.2050/v1" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>A Metric for the Entropic Purpose of a System</h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Michael C. Parker<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Chris Jeynes<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Stuart D. Walker</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: Purpose in systems is considered to be beyond the purview of science, since it is thought to be intrinsically personal. However, just as Claude Shannon was able to define an impersonal measure of information, so we formally define the (impersonal) ‘entropic purpose’ of an information system (using the theoretical apparatus of Quantitative Geometrical Thermodynamics) as the line integral of an entropic “purposive” Lagrangian defined in hyperbolic space across the complex temporal plane. We verify that this Lagrangian is well-formed: it has the appropriate variational (Euler-Lagrange) behaviour. We also discuss the teleological characteristics of such variational behaviour (featuring both thermodynamically reversible and irreversible temporal measures), so that a “Principle of Least Purpose” can be adduced for any information-producing system. Exploiting the relationship between the entropy (information) production of a system and its energy Hamiltonian, we show how Landauer’s principle also applies to the creation of information; any purposive system that creates information will also dissipate energy. Finally, we discuss how ‘entropic purpose’ might be applied in artificial intelligence contexts (where degrees of system ‘aliveness’ need to be assessed), and in cybersecurity (where some metric for ‘purpose’ might be exploited to help distinguish between people and bots).</div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: Purpose in systems is considered to be beyond the purview of science, since it is thought to be intrinsically personal. However, just as Claude Shannon was able to define an impersonal measure of information, so we formally define the (impersonal) ‘entropic purpose’ of an information system (using the theoretical apparatus of Quantitative Geometrical Thermodynamics) as the line integral of an entropic “purposive” Lagrangian defined in hyperbolic space across the complex temporal plane. We verify that this Lagrangian is well-formed: it has the appropriate variational (Euler-Lagrange) behaviour. We also discuss the teleological characteristics of such variational behaviour (featuring both thermodynamically reversible and irreversible temporal measures), so that a “Principle of Least Purpose” can be adduced for any information-producing system. Exploiting the relationship between the entropy (information) production of a system and its energy Hamiltonian, we show how Landauer’s principle also applies to the creation of information; any purposive system that creates information will also dissipate energy. Finally, we discuss how ‘entropic purpose’ might be applied in artificial intelligence contexts (where degrees of system ‘aliveness’ need to be assessed), and in cybersecurity (where some metric for ‘purpose’ might be exploited to help distinguish between people and bots).</div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 27 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202411.2050.v1" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202411.2050.v1</a></p></div></div><div data-v-240dfb06></div></div><div data-v-240dfb06><div class="border-b border-color-default pb-md mb-sm" data-v-240dfb06><div class="pt-md lg:pt-lg lg:flex justify-between space-y-xs" data-v-240dfb06><div class="flex flex-wrap gap-x-xs gap-y-xs" data-v-240dfb06><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 !bg-surface-disabled" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Article</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Theoretical Physics</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202411.2065/v1" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>Black Holes and Baryon Number Violation: Unveiling the Origins of Early Galaxies and the Low-Mass Gap</h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Merab Gogberashvili<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Alexander Sakharov</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: We propose that modifications to the Higgs potential within a narrow atmospheric layer near the event horizon of an astrophysical black hole could significantly enhance the rate of sphaleron transitions, as well as transform the Chern-Simons number into a dynamic variable. As a result, sphaleron transitions in this region occur without suppression, in contrast to low-temperature conditions, and each transition may generate a substantially greater baryon number than would be produced by winding around the Higgs potential in Minkowski spacetime. This effect amplifies baryon number violation near the black hole horizon, potentially leading to a considerable generation of matter. Given the possibility of a departure from equilibrium during the absorption of matter and the formation of relativistic jets in supermassive black holes, we conjecture that this process could contribute to the creation of a significant amount of matter around such black holes. This phenomenon may offer an alternative explanation for the rapid growth of supermassive black holes and their surrounding galaxies in the early Universe, as suggested by recent observations from the James Webb Space Telescope. Furthermore, this mechanism may provide insights into the low-mass gap puzzle, addressing the observed scarcity of black holes with masses near the Oppenheimer-Volkoff limit.</div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: We propose that modifications to the Higgs potential within a narrow atmospheric layer near the event horizon of an astrophysical black hole could significantly enhance the rate of sphaleron transitions, as well as transform the Chern-Simons number into a dynamic variable. As a result, sphaleron transitions in this region occur without suppression, in contrast to low-temperature conditions, and each transition may generate a substantially greater baryon number than would be produced by winding around the Higgs potential in Minkowski spacetime. This effect amplifies baryon number violation near the black hole horizon, potentially leading to a considerable generation of matter. Given the possibility of a departure from equilibrium during the absorption of matter and the formation of relativistic jets in supermassive black holes, we conjecture that this process could contribute to the creation of a significant amount of matter around such black holes. This phenomenon may offer an alternative explanation for the rapid growth of supermassive black holes and their surrounding galaxies in the early Universe, as suggested by recent observations from the James Webb Space Telescope. Furthermore, this mechanism may provide insights into the low-mass gap puzzle, addressing the observed scarcity of black holes with masses near the Oppenheimer-Volkoff limit.</div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 27 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202411.2065.v1" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202411.2065.v1</a></p></div></div><div data-v-240dfb06></div></div><div data-v-240dfb06><div class="border-b border-color-default pb-md mb-sm" data-v-240dfb06><div class="pt-md lg:pt-lg lg:flex justify-between space-y-xs" data-v-240dfb06><div class="flex flex-wrap gap-x-xs gap-y-xs" data-v-240dfb06><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 !bg-surface-disabled" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Short Note</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Astronomy and Astrophysics</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202411.2096/v1" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>Note on Redshift and the Principle of Conservation of Energy</h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Francois Danis</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: The energy of a photon is given by Planck’s relation and is dependent on the frequency. As the frequency drops when redshift is observed, the energy drops. This note questions the link redshift – Doppler effect, which doesn’t explain the energy drop, and will present a proposal which maintains energy conservation.</div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: The energy of a photon is given by Planck’s relation and is dependent on the frequency. As the frequency drops when redshift is observed, the energy drops. This note questions the link redshift – Doppler effect, which doesn’t explain the energy drop, and will present a proposal which maintains energy conservation.</div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 27 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202411.2096.v1" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202411.2096.v1</a></p></div></div><div data-v-240dfb06></div></div><div data-v-240dfb06><div class="border-b border-color-default pb-md mb-sm" data-v-240dfb06><div class="pt-md lg:pt-lg lg:flex justify-between space-y-xs" data-v-240dfb06><div class="flex flex-wrap gap-x-xs gap-y-xs" data-v-240dfb06><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 !bg-surface-disabled" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Article</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Fluids and Plasmas Physics</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202411.2078/v1" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>Analysis of Blood Stasis for Stent Thrombosis using an Advection-Diffusion Lattice Boltzmann Scheme</h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Ruben van der Waerden<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>James Spendlove<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>James Entwistle<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Xu Xu<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Andrew J. Narracott<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Julian Gunn<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Ian Halliday</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: An advection-diffusion solver has been applied to assess how stent strut shape and position impact the development of a pro-thrombotic region within the stented human artery. We use a suitably parameterised advection-diffusion equation with a source term that is spatially uniform within a certain sub-domain of interest, to compute a ``time concentration''. The latter will serve as a surrogate quantity for ``age'' of fluid parcels, i.e., the time the fluid parcel has spent in the sub-domain. This is a particularly useful concept in the context of coronary artery haemodynamics, where blood stasis (or residence time) is recognised as the most important factor in thrombotic initiation. Our novel method has a very straightforward and convenient single lattice Boltzmann simulation framework encapsulation. We compute, present and correlate our residence time surrogate with a range of traditional haemodynamic metrics (wall shear stress, shear rate and re-circulation region shapes) and finally assess how these data can be used to quantify the risk of thrombus formation.</div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: An advection-diffusion solver has been applied to assess how stent strut shape and position impact the development of a pro-thrombotic region within the stented human artery. We use a suitably parameterised advection-diffusion equation with a source term that is spatially uniform within a certain sub-domain of interest, to compute a ``time concentration''. The latter will serve as a surrogate quantity for ``age'' of fluid parcels, i.e., the time the fluid parcel has spent in the sub-domain. This is a particularly useful concept in the context of coronary artery haemodynamics, where blood stasis (or residence time) is recognised as the most important factor in thrombotic initiation. Our novel method has a very straightforward and convenient single lattice Boltzmann simulation framework encapsulation. We compute, present and correlate our residence time surrogate with a range of traditional haemodynamic metrics (wall shear stress, shear rate and re-circulation region shapes) and finally assess how these data can be used to quantify the risk of thrombus formation.</div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 27 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202411.2078.v1" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202411.2078.v1</a></p></div></div><div data-v-240dfb06></div></div><div data-v-240dfb06><div class="border-b border-color-default pb-md mb-sm" data-v-240dfb06><div class="pt-md lg:pt-lg lg:flex justify-between space-y-xs" data-v-240dfb06><div class="flex flex-wrap gap-x-xs gap-y-xs" data-v-240dfb06><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 !bg-surface-disabled" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Article</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Astronomy and Astrophysics</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202411.2074/v1" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>Kinematics of the Milky Way from the Statistical Analysis of the Gaia Data Release 3</h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Petr Zavada<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Karel Píška</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: <p>The aim of the analysis of data from the Gaia Space Observatory is to obtain kinematic parameters of the collective motion of stars in a part of our galaxy. The research is based on a statistical analysis of the motion of $33~146~122$ stars selected in different directions from the Sun up to a distance of $3-6$ kpc. We developed statistical methods for the analysis working with input data represented by the full astrometric solution (five parameters). Using the proposed statistical methods, we obtained the local velocity of the Sun $\left( U_{\odot} ,V_{\odot},W_{\odot}\right) =(10.05,16.65,7.59)\pm(0.05,0.06,0.02)_{stat} \pm(0.7,0.6,0.1)_{syst}$ km/s and the rotation velocity of the galaxy at different radii. For the Sun's orbit radius, we obtained the velocity of the galaxy rotation$\ V_{c}\approx234\pm4$ km/s. Collective rotation slows down in the region under study linearly with distance from the disk plane $\Delta V/\Delta Z\cong33.5\mathrm{km\,s}^{-1}\mathrm{kpc}^{-1}$. We have shown that the different kinematic characteristics and distributions, which depend on the position in the galaxy, can be well described in the studied 3D region by a simple Monte-Carlo simulation model, representing an axisymmetric approximation of the galaxy kinematics. The optimal values of the six free parameters were tuned by comparison with the data.</p></div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: <p>The aim of the analysis of data from the Gaia Space Observatory is to obtain kinematic parameters of the collective motion of stars in a part of our galaxy. The research is based on a statistical analysis of the motion of $33~146~122$ stars selected in different directions from the Sun up to a distance of $3-6$ kpc. We developed statistical methods for the analysis working with input data represented by the full astrometric solution (five parameters). Using the proposed statistical methods, we obtained the local velocity of the Sun $\left( U_{\odot} ,V_{\odot},W_{\odot}\right) =(10.05,16.65,7.59)\pm(0.05,0.06,0.02)_{stat} \pm(0.7,0.6,0.1)_{syst}$ km/s and the rotation velocity of the galaxy at different radii. For the Sun's orbit radius, we obtained the velocity of the galaxy rotation$\ V_{c}\approx234\pm4$ km/s. Collective rotation slows down in the region under study linearly with distance from the disk plane $\Delta V/\Delta Z\cong33.5\mathrm{km\,s}^{-1}\mathrm{kpc}^{-1}$. We have shown that the different kinematic characteristics and distributions, which depend on the position in the galaxy, can be well described in the studied 3D region by a simple Monte-Carlo simulation model, representing an axisymmetric approximation of the galaxy kinematics. The optimal values of the six free parameters were tuned by comparison with the data.</p></div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 27 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202411.2074.v1" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202411.2074.v1</a></p></div></div><div data-v-240dfb06></div></div><div data-v-240dfb06><div class="border-b border-color-default pb-md mb-sm" data-v-240dfb06><div class="pt-md lg:pt-lg lg:flex justify-between space-y-xs" data-v-240dfb06><div class="flex flex-wrap gap-x-xs gap-y-xs" data-v-240dfb06><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 !bg-surface-disabled" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Article</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Fluids and Plasmas Physics</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202411.2105/v1" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>Generic Equations for Long Gravity Waves in Incompressible Fluid with Finite Amplitude</h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Vladimir Kruglov</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: We present the derivation of generic equations describing the long gravity waves in incompressible fluid with decaying effect. We show that in this theory the only restriction to the surface deviation is connected with the stability condition for the waves. Derivation of these generic equations is based on Euler equations for inviscid incompressible fluid and definition of dynamic pressure which leads to correct dispersion equation for gravity waves. These derived generic equations for velocity of fluid and the surface deviation describe the propagation of long gravity waves in incompressible fluid with finite amplitude. We also have found the necessary and sufficient conditions for generic equations with dissipation of energy or decaying effect. The developed approach can significantly improve the accuracy of theory for long gravity waves in incompressible fluid. We also have found the quasi-periodic and solitary wave solutions for generic equations with decaying effect.</div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: We present the derivation of generic equations describing the long gravity waves in incompressible fluid with decaying effect. We show that in this theory the only restriction to the surface deviation is connected with the stability condition for the waves. Derivation of these generic equations is based on Euler equations for inviscid incompressible fluid and definition of dynamic pressure which leads to correct dispersion equation for gravity waves. These derived generic equations for velocity of fluid and the surface deviation describe the propagation of long gravity waves in incompressible fluid with finite amplitude. We also have found the necessary and sufficient conditions for generic equations with dissipation of energy or decaying effect. The developed approach can significantly improve the accuracy of theory for long gravity waves in incompressible fluid. We also have found the quasi-periodic and solitary wave solutions for generic equations with decaying effect.</div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 27 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202411.2105.v1" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202411.2105.v1</a></p></div></div><div data-v-240dfb06></div></div><div data-v-240dfb06><div class="border-b border-color-default pb-md mb-sm" data-v-240dfb06><div class="pt-md lg:pt-lg lg:flex justify-between space-y-xs" data-v-240dfb06><div class="flex flex-wrap gap-x-xs gap-y-xs" data-v-240dfb06><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 !bg-surface-disabled" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Article</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Particle and Field Physics</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202401.1032/v5" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>Description of the Electron in the Electromagnetic Field: The Dirac Type Equation and the Equation for the Wave Function in Spinor Coordinate Space<strong> </strong></h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Pavel Gorev</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: <p class="MsoNormal" style="margin-bottom: .0001pt; text-align: justify; text-indent: 1.0cm;"><span lang="EN-US" style="font-size: 12.0pt; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast; mso-ansi-language: EN-US;">Physical processes are usually described using four-dimensional vector quantities - coordinate vector, momentum vector, current vector. But at the fundamental level they are characterized by spinors - coordinate spinors, momentum spinors, spinor wave functions. The propagation of fields and their interaction takes place at the spinor level, and since each spinor uniquely corresponds to a certain vector, the results of physical processes appear before us in vector form. For example, the relativistic Schrödinger equation and the Dirac equation are formulated by means of coordinate vectors, momentum vectors and quantum operators corresponding to them. In the Schrödinger equation the wave function is represented by a single complex quantity, in the Dirac equation a step forward is taken and the wave function is a spinor with complex components, but still coordinates and momentum are vectors. For a closed description of nature using only spinor quantities, it is necessary to have an equation similar to the Dirac equation in which momentum, coordinates and operators are spinors. It is such an equation that is presented in this paper. Using the example of the interaction between an electron and an electromagnetic field, we can see that the spinor equation contains more detailed information about the interaction than the vector equations. This is not new for quantum mechanics, since it describes interactions using complex wave functions, which cannot be observed directly, and only when measured goes to probabilities in the form of squares of the moduli of the wave functions. In the same way spinor quantities are not observable, but they completely determine observable vectors. </span><span lang="EN-US" style="font-size: 12.0pt; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast; mso-ansi-language: EN-US;">In Section 2 of the paper, we analyze the quadratic form for an arbitrary four-component complex vector based on Pauli matrices. The form is invariant with respect to Lorentz transformations including any rotations and boosts. The invariance of the form allows us to construct on its basis an equation for a free particle combining the properties of the relativistic wave equation and the Dirac equation. For an electron in the presence of an electromagnetic potential it is shown that taking into account the commutation relations between the momentum and coordinate components allows us to obtain from this equation the known results describing the interactions of the electron spin with the electric and magnetic field. In section 3 of the paper this quadratic form is expressed through momentum spinors, which makes it possible to obtain an equation for the spinor wave function in spinor coordinate space by replacing the momentum spinor components by partial derivative operators on the corresponding coordinate spinor component. Section 4 presents a modification of the theory of the path integral, which consists in considering the path integral in the spinor coordinate space. The Lagrangian densities for the scalar field and for the electron field, along with their corresponding propagators, are presented. An equation of motion for the electron is proposed that is relativistically invariant, in contrast to the Dirac equation, which lacks this invariance. This novel equation permitted the construction of an actually invariant procedure for the second quantization of the fermion field in spinor coordinate space. Furthermore, it is demonstrated that the field operators are a combination of plane waves in spinor or vector space, with the coefficients of which being pseudospinors or pseudovectors. Each of these pseudovectors or pseudospinors corresponds to one of the particles presented in the theory of electrodynamics. Furthermore, each plane wave possesses an additional coefficient in the form of a birth or annihilation operator. In vector space, these operators commute, whereas in spinor space they anticommutate. The paper presents the spinor and vector representations of the field operators in explicit form, comprising sets of 16 pseudospinors or 4 pseudovectors corresponding to particles represented in electrodynamics.</span></p></div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: <p class="MsoNormal" style="margin-bottom: .0001pt; text-align: justify; text-indent: 1.0cm;"><span lang="EN-US" style="font-size: 12.0pt; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast; mso-ansi-language: EN-US;">Physical processes are usually described using four-dimensional vector quantities - coordinate vector, momentum vector, current vector. But at the fundamental level they are characterized by spinors - coordinate spinors, momentum spinors, spinor wave functions. The propagation of fields and their interaction takes place at the spinor level, and since each spinor uniquely corresponds to a certain vector, the results of physical processes appear before us in vector form. For example, the relativistic Schrödinger equation and the Dirac equation are formulated by means of coordinate vectors, momentum vectors and quantum operators corresponding to them. In the Schrödinger equation the wave function is represented by a single complex quantity, in the Dirac equation a step forward is taken and the wave function is a spinor with complex components, but still coordinates and momentum are vectors. For a closed description of nature using only spinor quantities, it is necessary to have an equation similar to the Dirac equation in which momentum, coordinates and operators are spinors. It is such an equation that is presented in this paper. Using the example of the interaction between an electron and an electromagnetic field, we can see that the spinor equation contains more detailed information about the interaction than the vector equations. This is not new for quantum mechanics, since it describes interactions using complex wave functions, which cannot be observed directly, and only when measured goes to probabilities in the form of squares of the moduli of the wave functions. In the same way spinor quantities are not observable, but they completely determine observable vectors. </span><span lang="EN-US" style="font-size: 12.0pt; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast; mso-ansi-language: EN-US;">In Section 2 of the paper, we analyze the quadratic form for an arbitrary four-component complex vector based on Pauli matrices. The form is invariant with respect to Lorentz transformations including any rotations and boosts. The invariance of the form allows us to construct on its basis an equation for a free particle combining the properties of the relativistic wave equation and the Dirac equation. For an electron in the presence of an electromagnetic potential it is shown that taking into account the commutation relations between the momentum and coordinate components allows us to obtain from this equation the known results describing the interactions of the electron spin with the electric and magnetic field. In section 3 of the paper this quadratic form is expressed through momentum spinors, which makes it possible to obtain an equation for the spinor wave function in spinor coordinate space by replacing the momentum spinor components by partial derivative operators on the corresponding coordinate spinor component. Section 4 presents a modification of the theory of the path integral, which consists in considering the path integral in the spinor coordinate space. The Lagrangian densities for the scalar field and for the electron field, along with their corresponding propagators, are presented. An equation of motion for the electron is proposed that is relativistically invariant, in contrast to the Dirac equation, which lacks this invariance. This novel equation permitted the construction of an actually invariant procedure for the second quantization of the fermion field in spinor coordinate space. Furthermore, it is demonstrated that the field operators are a combination of plane waves in spinor or vector space, with the coefficients of which being pseudospinors or pseudovectors. Each of these pseudovectors or pseudospinors corresponds to one of the particles presented in the theory of electrodynamics. Furthermore, each plane wave possesses an additional coefficient in the form of a birth or annihilation operator. In vector space, these operators commute, whereas in spinor space they anticommutate. The paper presents the spinor and vector representations of the field operators in explicit form, comprising sets of 16 pseudospinors or 4 pseudovectors corresponding to particles represented in electrodynamics.</span></p></div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 27 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202401.1032.v5" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202401.1032.v5</a></p></div></div><div data-v-240dfb06></div></div><div data-v-240dfb06><div class="border-b border-color-default pb-md mb-sm" data-v-240dfb06><div class="pt-md lg:pt-lg lg:flex justify-between space-y-xs" data-v-240dfb06><div class="flex flex-wrap gap-x-xs gap-y-xs" data-v-240dfb06><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 !bg-surface-disabled" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Article</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Particle and Field Physics</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202410.1396/v2" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>Origins and Unification of the Four Fundamental Forces of Nature</h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Shangqing Liu</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: <p><span style="mso-bidi-font-weight: bold;">The four fundamental forces of nature are extremely important because they dominate the formation and evolution of the universe. However, until now, their physical origins and essential qualities have not been explained with wide acceptance. This paper provides new explanations for the origins and essences of these four forces based on different understandings, suggesting that all four fundamental forces originate from the electric force and can therefore be unified as one force. First, the gravitational force is a synthetic electric force produced by a huge number of electric charges via non-uniform charge distribution. Based on a novel inference of nuclear structure, which is strongly supported by observed phenomena, the strong and weak forces are also deduced to be electric forces. These newly introduced understandings can explain observed confusing phenomena simply and effectively, such as “dark matter,” “dark energy,” “flat galaxies,” “filamentary nebulae,” and “gamma-ray bursts” in nuclear fission or fusion and from black holes, and so on. The author presents these new understandings in an effort to find the natural truth sooner.</span></p></div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: <p><span style="mso-bidi-font-weight: bold;">The four fundamental forces of nature are extremely important because they dominate the formation and evolution of the universe. However, until now, their physical origins and essential qualities have not been explained with wide acceptance. This paper provides new explanations for the origins and essences of these four forces based on different understandings, suggesting that all four fundamental forces originate from the electric force and can therefore be unified as one force. First, the gravitational force is a synthetic electric force produced by a huge number of electric charges via non-uniform charge distribution. Based on a novel inference of nuclear structure, which is strongly supported by observed phenomena, the strong and weak forces are also deduced to be electric forces. These newly introduced understandings can explain observed confusing phenomena simply and effectively, such as “dark matter,” “dark energy,” “flat galaxies,” “filamentary nebulae,” and “gamma-ray bursts” in nuclear fission or fusion and from black holes, and so on. The author presents these new understandings in an effort to find the natural truth sooner.</span></p></div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 26 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202410.1396.v2" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202410.1396.v2</a></p></div></div><div data-v-240dfb06></div></div><div data-v-240dfb06><div class="border-b border-color-default pb-md mb-sm" data-v-240dfb06><div class="pt-md lg:pt-lg lg:flex justify-between space-y-xs" data-v-240dfb06><div class="flex flex-wrap gap-x-xs gap-y-xs" data-v-240dfb06><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 !bg-surface-disabled" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Article</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Space Science</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202410.1581/v2" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>Implications of Time-Invariant Space Model in Fundamental Physics and Cosmology</h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Amrit Šorli</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: Time is what we measure with clocks. With clocks, we measure the duration of material change tuning in space. Material change runs in space only, time, as duration enters existence when measured. Time is an emergent physical reality that enters existence when measured by the observer. No measurement means no time. The motion does not require time. Motion requires only space and the physical object that moves in space, which is time-invariant. There is no physical past; there is no physical future. Past and future exist only in the human mind. Humans, we experience time-invariant space as NOW. The entire universe exists and develops into NOW.</div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: Time is what we measure with clocks. With clocks, we measure the duration of material change tuning in space. Material change runs in space only, time, as duration enters existence when measured. Time is an emergent physical reality that enters existence when measured by the observer. No measurement means no time. The motion does not require time. Motion requires only space and the physical object that moves in space, which is time-invariant. There is no physical past; there is no physical future. Past and future exist only in the human mind. Humans, we experience time-invariant space as NOW. The entire universe exists and develops into NOW.</div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 26 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202410.1581.v2" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202410.1581.v2</a></p></div></div><div data-v-240dfb06></div></div><div data-v-240dfb06><div class="border-b border-color-default pb-md mb-sm" data-v-240dfb06><div class="pt-md lg:pt-lg lg:flex justify-between space-y-xs" data-v-240dfb06><div class="flex flex-wrap gap-x-xs gap-y-xs" data-v-240dfb06><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 bg-content-subtler text-color-default px-2 !bg-surface-disabled" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Article</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Applied Physics</span></div><div class="m-tag flex items-center gap-2 rounded py-0.5 h-6 border border-color-bold px-2 text-color-subtlest" data-v-240dfb06><span class="flex items-center whitespace-nowrap text-xs leading-normal">Physical Sciences</span></div></div><div class="flex" data-v-240dfb06><button class="m-button m-button--sm m-button--tertiary rounded mr-md after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="download" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Download PDF </span></button><button class="m-button m-button--sm m-button--tertiary rounded after:hidden" type="button" data-v-240dfb06><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="format_quote" style="" width="16" height="16" viewBox="0 0 16 16" data-v-240dfb06></svg> Cite </span></button></div></div><a href="/manuscript/202411.1928/v1" class="" data-v-240dfb06><h5 class="m-heading text-inherit m-h5 font-normal pt-sm hover:text-color-link-bold" data-v-240dfb06>Enhanced Magneto-optical Kerr Effects by Micron Array Thin Films with Organic-Inorganic Interface</h5></a><div class="flex pt-sm flex-wrap gap-sm" data-v-240dfb06><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Hao Luo<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Ziqi Wang<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Yufei He<span data-v-240dfb06>,</span></p></div><div class="flex items-center" data-v-240dfb06><p class="m-text text-sm text-color-subtlest" data-v-240dfb06>Yujun Song</p></div></div><div class="w-full relative overflow-hidden pt-sm" data-v-240dfb06><div><div class="clamp-3"><div class="inline abstract-content" data-v-240dfb06>Abstract: <p>The modulation of the magneto-optic signal is a crucial research focus in the field of magneto-optics. Micron array of varying shapes were fabricated using the UV exposure technique, and test their effects on the magneto-optical Kerr response of CoFeB thin films. The influence of the organic-inorganic interface on the magneto-optical Kerr effect was investigated by utilizing organic materials to fabricate arrays. The results indicate that the micron-scale metal array exhibits a limited enhancement of the magneto-optical Kerr signal, but it can change the ferromagnetic strength and the magnetization speed of the magnetic layer. Because the electron orbit coupling at the organic inorganic interface enhances the performance of the magnetic film. When the photoresist is used as the array material, the longitudinal magneto-optical Kerr signal of the CoFeB film increases by at least 2 times. The enhancement effect of different shapes of arrays is different because of the different contact area with CoFeB.</p></div></div><div class="invisible absolute"><div class="inline abstract-content" data-v-240dfb06>Abstract: <p>The modulation of the magneto-optic signal is a crucial research focus in the field of magneto-optics. Micron array of varying shapes were fabricated using the UV exposure technique, and test their effects on the magneto-optical Kerr response of CoFeB thin films. The influence of the organic-inorganic interface on the magneto-optical Kerr effect was investigated by utilizing organic materials to fabricate arrays. The results indicate that the micron-scale metal array exhibits a limited enhancement of the magneto-optical Kerr signal, but it can change the ferromagnetic strength and the magnetization speed of the magnetic layer. Because the electron orbit coupling at the organic inorganic interface enhances the performance of the magnetic film. When the photoresist is used as the array material, the longitudinal magneto-optical Kerr signal of the CoFeB film increases by at least 2 times. The enhancement effect of different shapes of arrays is different because of the different contact area with CoFeB.</p></div></div></div><div style="display:none;" class="absolute right-0 bottom-0"><span><span class="inline-block align-middle w-6 h-4 bg-gradient-to-r from-transparent to-white"></span><span class="bg-white">... </span></span><button class="m-button m-button--sm m-button--tertiary rounded !inline-flex after:hidden bg-white" type="button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center">Show more <svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="keyboard_arrow_down" style="" width="16" height="16" viewBox="0 0 16 16"></svg></span></button></div></div><div class="pt-sm text-color-subtle flex gap-x-sm gap-y-sm flex-col lg:flex-row" data-v-240dfb06><p class="m-text text-sm" data-v-240dfb06> Posted: 26 November 2024</p><p class="m-text text-sm underline cursor-pointer" data-v-240dfb06><a href="https://doi.org/10.20944/preprints202411.1928.v1" rel="noopener noreferrer" data-v-240dfb06><span data-v-240dfb06>https://doi.org/</span>10.20944/preprints202411.1928.v1</a></p></div></div><div data-v-240dfb06></div></div><div class="m-pagination flex items-center gap-md pt-lg"><button disabled class="m-button m-button--lg m-button--secondary m-button--disabled rounded !pl-sm" type="button" data-testid="prev-button"><span class="inline-flex h-full w-full items-center gap-2 whitespace-nowrap justify-center"><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" role="img" data-testid="chevron_left" style="" width="24" height="24" viewBox="0 0 16 16"></svg><span>Prev</span><span class="sr-only">Go to previous page</span></span></button><div class="m-input common-field m-input--filled max-w-[5rem] [&_input]:text-center"><div class="common-field__wrapper m-input__label"><div class="common-field__input 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data-ssr="true">[["ShallowReactive",1],{"data":2,"state":503,"once":512,"_errors":513,"serverRendered":6,"path":515,"pinia":516},["ShallowReactive",3],{"blog-config":4,"strapi-config":39,"mgOlEjP40X":40,"Ya7hZzqdE7":45,"8nSXcIhXGG":123,"TmtU4PTvWw":397,"A4wOWIb8lf":447},{"postsPerPage":5,"isInfinite":6,"cacheTime":7,"categories":8},9,true,1,[9,14,19,24,29,34],{"id":10,"title":11,"cacheKey":12,"href":13},288,"Learn about Preprints","288-posts","/blog/category/learn-about-preprints",{"id":15,"title":16,"cacheKey":17,"href":18},1383,"Platform Features","1383-posts","/blog/category/platform-features",{"id":20,"title":21,"cacheKey":22,"href":23},22,"Community Content","22-posts","/blog/category/community-content",{"id":25,"title":26,"cacheKey":27,"href":28},1351,"Featured Preprints","1351-posts","/blog/category/featured-preprints",{"id":30,"title":31,"cacheKey":32,"href":33},1380,"Preprints and Society","1380-posts","/blog/category/preprints-and-society",{"id":35,"title":36,"cacheKey":37,"href":38},1381,"News and Announcements","1381-posts","/blog/category/news-and-announcements",{"cacheTime":7},{"code":41,"msg":42,"data":43},0,"success",{"url":44},"https://www.preprints.org/rss",{"code":41,"msg":42,"data":46},[47,54,61,68,75,82,88,95,102,109,116],{"id":7,"name":48,"name_system":49,"parent_id":50,"image_banner":51,"description":52,"converted_name_system":53},"Arts and Humanities","arts_and_humanities",null,"https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/bb621e164c1f8a2a8bfd78d6ac510e15.jpg","Immerse yourself in a world of creativity and critical thinking with our preprints in arts and humanities. Uncover the depths of human expression, history, and thought across disciplines like archaeology, literature, and philosophy. Explore diverse perspectives that enrich our understanding of cultural heritage and the human experience.","arts-and-humanities",{"id":55,"name":56,"name_system":57,"parent_id":50,"image_banner":58,"description":59,"converted_name_system":60},16,"Biology and Life Sciences","biology_and_life_sciences","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/8d795777f5834c04ac4b98f9c94c4c6b.jpg","Journey into the intricate world of living organisms with our preprints. From molecular mechanisms to ecosystem interactions, discover the wonders of life and the natural world through cutting-edge research. Dive into the forefront of biological discovery and explore the complexities of our living world.","biology-and-life-sciences",{"id":62,"name":63,"name_system":64,"parent_id":50,"image_banner":65,"description":66,"converted_name_system":67},41,"Business, Economics and Management","business_economics_and_management","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/ab197ef385773a30f4650e40ae8f03d5.jpg","Explore the dynamic world of business operations, economic theories, and organizational leadership with our preprints. Uncover insights in business, economics, and management that shape global commerce and innovation. Stay informed on the latest trends and research driving the landscape of business and economics.","business-economics-and-management",{"id":69,"name":70,"name_system":71,"parent_id":50,"image_banner":72,"description":73,"converted_name_system":74},50,"Chemistry and Materials Science","chemistry_and_materials_science","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/cc2a7d5d84540df918315b4feb38028a.jpg","Unravel the mysteries of matter and its transformations with our preprints. From atomic structures to novel material synthesis, stay informed on the latest research in this fascinating field. Explore the diverse properties and applications of chemistry and materials science that shape our world.","chemistry-and-materials-science",{"id":76,"name":77,"name_system":78,"parent_id":50,"image_banner":79,"description":80,"converted_name_system":81},71,"Computer Science and Mathematics","computer_science_and_mathematics","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/5b0a41a25a67d1112cb8833b497bf7be.jpg","Embark on a journey through the foundational principles of algorithms, artificial intelligence, and mathematical theories with our preprints. Explore cutting-edge research in computational mathematics and data analysis that drives innovation in the digital age. Dive into a world of innovation and discovery in this exciting field.","computer-science-and-mathematics",{"id":83,"name":84,"name_system":85,"parent_id":50,"image_banner":86,"description":87,"converted_name_system":85},94,"Engineering","engineering","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/908d2aac5be9f3be128d20cc98154c17.jpg","Explore the diverse realms of engineering with our preprints, where innovation meets expertise across various disciplines. From industrial processes to energy technologies, delve into the forefront of engineering advancements. Stay updated on the latest research shaping the dynamic and ever-evolving field of engineering.",{"id":89,"name":90,"name_system":91,"parent_id":50,"image_banner":92,"description":93,"converted_name_system":94},113,"Environmental and Earth Sciences","environmental_and_earth_sciences","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/427574c3272a512b9412d12b3bfb3f51.jpg","Investigate the dynamic processes shaping our planet with our preprints. From atmospheric phenomena to oceanography, explore the interconnected systems of our planet and the innovative solutions shaping its future. Stay informed on research that impacts our environment and sustainability.","environmental-and-earth-sciences",{"id":96,"name":97,"name_system":98,"parent_id":50,"image_banner":99,"description":100,"converted_name_system":101},130,"Medicine and Pharmacology","medicine_and_pharmacology","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/98c86d1fdf40abfda51ca959f75f3499.jpg","Embark on a journey through the vast world of medicine and pharmacology with our preprints. Explore breakthroughs in healthcare, from cardiology to neurology, which improve human health outcomes. Delve into the frontiers of medical research and pharmaceutical development that enhance quality of life.","medicine-and-pharmacology",{"id":103,"name":104,"name_system":105,"parent_id":50,"image_banner":106,"description":107,"converted_name_system":108},166,"Physical Sciences","physical_sciences","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/c2d6e400b105b8c3d32ec59f26ab969d.jpg","Explore the fundamental laws governing matter and energy in the universe with our preprints. From quantum mechanics to cosmology, stay abreast of research that advances our understanding of the natural world. Dive into a world of scientific discovery that pushes the boundaries of knowledge.","physical-sciences",{"id":110,"name":111,"name_system":112,"parent_id":50,"image_banner":113,"description":114,"converted_name_system":115},185,"Public Health and Healthcare","public_health_and_healthcare","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-11-07/ef7c6de55fa117659c3b6090edc7c4ff.jpg","Examine critical issues in public health policy, epidemiology, and healthcare systems with our preprints. Stay updated on research into health disparities, infectious disease control, and healthcare management, which informs public health interventions. Explore the latest trends in healthcare that impact population well-being and equity.","public-health-and-healthcare",{"id":117,"name":118,"name_system":119,"parent_id":50,"image_banner":120,"description":121,"converted_name_system":122},193,"Social Sciences","social_sciences","https://www.preprints.org/media/cache/resolve/webp/upload/subject/2024-09-12/910c960e3a6808861523728f0f26b2df.png","Gain insights into human behavior, societies, and cultures with our preprints. Explore disciplines like psychology, sociology, and political science, which shape our world and inform public policy. Stay engaged with research that explores social issues, cultural dynamics, and economic systems, enriching our understanding of human interactions.","social-sciences",{"code":41,"msg":124,"data":125},"",{"total":126,"rows":127,"filters":325},4196,[128,151,169,185,218,235,249,267,284,301],{"views":41,"true_downloads":41,"true_views":41,"downloads":41,"id":129,"version":7,"hash_key":130,"article_type":131,"subject":132,"top_subject":104,"title":133,"abstract":134,"keywords":135,"doi":136,"published_at":137,"download_url":138,"like_url":139,"authors":140,"score":7,"liked":150},"202411.2050","7703ace402cf700790441b5882418e30","Article","Thermodynamics","A Metric for the Entropic Purpose of a System","Purpose in systems is considered to be beyond the purview of science, since it is thought to be intrinsically personal. However, just as Claude Shannon was able to define an impersonal measure of information, so we formally define the (impersonal) ‘entropic purpose’ of an information system (using the theoretical apparatus of Quantitative Geometrical Thermodynamics) as the line integral of an entropic “purposive” Lagrangian defined in hyperbolic space across the complex temporal plane. We verify that this Lagrangian is well-formed: it has the appropriate variational (Euler-Lagrange) behaviour. We also discuss the teleological characteristics of such variational behaviour (featuring both thermodynamically reversible and irreversible temporal measures), so that a “Principle of Least Purpose” can be adduced for any information-producing system. Exploiting the relationship between the entropy (information) production of a system and its energy Hamiltonian, we show how Landauer’s principle also applies to the creation of information; any purposive system that creates information will also dissipate energy. Finally, we discuss how ‘entropic purpose’ might be applied in artificial intelligence contexts (where degrees of system ‘aliveness’ need to be assessed), and in cybersecurity (where some metric for ‘purpose’ might be exploited to help distinguish between people and bots).","entropy; teleonomy; information theory; origin of life; maximum entropy; drug discovery","10.20944/preprints202411.2050.v1","2024-11-27T10:08:32Z","/frontend/manuscript/7703ace402cf700790441b5882418e30/download_pub","/frontend/user/manuscript/7703ace402cf700790441b5882418e30/like_toggle",[141,144,147],{"name":142,"email":143},"Michael C. Parker","mcpark@essex.ac.uk",{"name":145,"email":146},"Chris Jeynes","chrisjeynes@voyager-solutions.co.uk",{"name":148,"email":149},"Stuart D. Walker","stuwal@essex.ac.uk",false,{"views":41,"true_downloads":41,"true_views":41,"downloads":41,"id":152,"version":7,"hash_key":153,"article_type":131,"subject":154,"top_subject":104,"title":155,"abstract":156,"keywords":157,"doi":158,"published_at":159,"download_url":160,"like_url":161,"authors":162,"score":7,"liked":150},"202411.2065","906d6da0914165747909b8c8637371a8","Theoretical Physics","Black Holes and Baryon Number Violation: Unveiling the Origins of Early Galaxies and the Low-Mass Gap","We propose that modifications to the Higgs potential within a narrow atmospheric layer near the event horizon of an astrophysical black hole could significantly enhance the rate of sphaleron transitions, as well as transform the Chern-Simons number into a dynamic variable. As a result, sphaleron transitions in this region occur without suppression, in contrast to low-temperature conditions, and each transition may generate a substantially greater baryon number than would be produced by winding around the Higgs potential in Minkowski spacetime. This effect amplifies baryon number violation near the black hole horizon, potentially leading to a considerable generation of matter. Given the possibility of a departure from equilibrium during the absorption of matter and the formation of relativistic jets in supermassive black holes, we conjecture that this process could contribute to the creation of a significant amount of matter around such black holes. This phenomenon may offer an alternative explanation for the rapid growth of supermassive black holes and their surrounding galaxies in the early Universe, as suggested by recent observations from the James Webb Space Telescope. Furthermore, this mechanism may provide insights into the low-mass gap puzzle, addressing the observed scarcity of black holes with masses near the Oppenheimer-Volkoff limit.","Supermassive black hole; Early galaxy; Low-mass gap; Baryogenesis; Sphaleron transition; Baryon number violation","10.20944/preprints202411.2065.v1","2024-11-27T09:54:53Z","/frontend/manuscript/906d6da0914165747909b8c8637371a8/download_pub","/frontend/user/manuscript/906d6da0914165747909b8c8637371a8/like_toggle",[163,166],{"name":164,"email":165},"Merab Gogberashvili","gogber@gmail.com",{"name":167,"email":168},"Alexander Sakharov","alexandre.sakharov@cern.ch",{"views":41,"true_downloads":41,"true_views":41,"downloads":41,"id":170,"version":7,"hash_key":171,"article_type":172,"subject":173,"top_subject":104,"title":174,"abstract":175,"keywords":176,"doi":177,"published_at":178,"download_url":179,"like_url":180,"authors":181,"score":7,"liked":150},"202411.2096","e0b914cef7acff5e3c810b631d0a1505","Short Note","Astronomy and Astrophysics","Note on Redshift and the Principle of Conservation of Energy","The energy of a photon is given by Planck’s relation and is dependent on the frequency. As the frequency drops when redshift is observed, the energy drops. This note questions the link redshift – Doppler effect, which doesn’t explain the energy drop, and will present a proposal which maintains energy conservation.","Redshift; conservation of energy; dark energy; Doppler effect","10.20944/preprints202411.2096.v1","2024-11-27T08:47:21Z","/frontend/manuscript/e0b914cef7acff5e3c810b631d0a1505/download_pub","/frontend/user/manuscript/e0b914cef7acff5e3c810b631d0a1505/like_toggle",[182],{"name":183,"email":184},"Francois Danis","francois.jp.danis@gmail.com",{"views":41,"true_downloads":41,"true_views":41,"downloads":41,"id":186,"version":7,"hash_key":187,"article_type":131,"subject":188,"top_subject":104,"title":189,"abstract":190,"keywords":191,"doi":192,"published_at":193,"download_url":194,"like_url":195,"authors":196,"score":7,"liked":150},"202411.2078","241af257c127ab44760d8359b8af8dfc","Fluids and Plasmas Physics","Analysis of Blood Stasis for Stent Thrombosis using an Advection-Diffusion Lattice Boltzmann Scheme","An advection-diffusion solver has been applied to assess how\nstent strut shape and position impact the development of a pro-thrombotic\nregion within the stented human artery. We use a suitably parameterised advection-diffusion equation with a source term that is spatially uniform within a certain sub-domain of interest, to compute a ``time concentration''. The latter will serve as a surrogate quantity for ``age'' of fluid parcels, i.e., the time the fluid parcel has spent in the sub-domain. This is a particularly useful concept in the context of coronary artery haemodynamics, where blood stasis (or residence time) is recognised as the most important factor in thrombotic initiation. Our novel method has a very straightforward and convenient single lattice Boltzmann simulation framework encapsulation. We compute, present and correlate our residence time surrogate with a range of traditional haemodynamic metrics (wall shear stress, shear rate and re-circulation region shapes) and finally assess how these data can be used to quantify the risk of thrombus formation.","Residence time; stenosis; clotting; coronary atherosclerosis; lattice Boltzmann; advection-diffusion","10.20944/preprints202411.2078.v1","2024-11-27T08:47:16Z","/frontend/manuscript/241af257c127ab44760d8359b8af8dfc/download_pub","/frontend/user/manuscript/241af257c127ab44760d8359b8af8dfc/like_toggle",[197,200,203,206,209,212,215],{"name":198,"email":199},"Ruben van der Waerden","ruben.vanderwaerden@radboudumc.nl",{"name":201,"email":202},"James Spendlove","james.spendlove@shu.ac.uk",{"name":204,"email":205},"James Entwistle","james.entwistle@student.shu.ac.uk",{"name":207,"email":208},"Xu Xu","xu.xu@sheffield.ac.uk",{"name":210,"email":211},"Andrew J. Narracott","a.j.narracott@sheffield.ac.uk",{"name":213,"email":214},"Julian Gunn","j.gunn@sheffield.ac.uk",{"name":216,"email":217},"Ian Halliday","i.halliday@sheffield.ac.uk",{"views":41,"true_downloads":41,"true_views":41,"downloads":41,"id":219,"version":7,"hash_key":220,"article_type":131,"subject":173,"top_subject":104,"title":221,"abstract":222,"keywords":223,"doi":224,"published_at":225,"download_url":226,"like_url":227,"authors":228,"score":7,"liked":150},"202411.2074","d13146f8d0e8ce1a33c8d29545002b19","Kinematics of the Milky Way from the Statistical Analysis of the Gaia Data Release 3","\u003Cp>The aim of the analysis of data from the Gaia Space Observatory is to obtain kinematic parameters of the collective motion of stars in a part of our galaxy. The research is based on a statistical analysis of the motion of $33~146~122$ stars selected in different directions from the Sun up to a distance of $3-6$ kpc. We developed statistical methods for the analysis working with input data represented by the full astrometric solution (five parameters). Using the proposed statistical methods, we obtained the local velocity of the Sun $\\left( U_{\\odot} ,V_{\\odot},W_{\\odot}\\right) =(10.05,16.65,7.59)\\pm(0.05,0.06,0.02)_{stat} \\pm(0.7,0.6,0.1)_{syst}$ km/s and the rotation velocity of the galaxy at different radii. For the Sun's orbit radius, we obtained the velocity of the galaxy rotation$\\ V_{c}\\approx234\\pm4$ km/s. Collective rotation slows down in the region under study linearly with distance from the disk plane $\\Delta V/\\Delta Z\\cong33.5\\mathrm{km\\,s}^{-1}\\mathrm{kpc}^{-1}$. We have shown that the different kinematic characteristics and distributions, which depend on the position in the galaxy, can be well described in the studied 3D region by a simple Monte-Carlo simulation model, representing an axisymmetric approximation of the galaxy kinematics. The optimal values of the six free parameters were tuned by comparison with the data.\u003C/p>","Astrometry; Proper motions; Galaxy: kinematics and dynamics; Methods: statistical","10.20944/preprints202411.2074.v1","2024-11-27T08:46:05Z","/frontend/manuscript/d13146f8d0e8ce1a33c8d29545002b19/download_pub","/frontend/user/manuscript/d13146f8d0e8ce1a33c8d29545002b19/like_toggle",[229,232],{"name":230,"email":231},"Petr Zavada","zavada@fzu.cz",{"name":233,"email":234},"Karel Píška","piska@fzu.cz",{"views":41,"true_downloads":41,"true_views":41,"downloads":41,"id":236,"version":7,"hash_key":237,"article_type":131,"subject":188,"top_subject":104,"title":238,"abstract":239,"keywords":240,"doi":241,"published_at":242,"download_url":243,"like_url":244,"authors":245,"score":7,"liked":150},"202411.2105","5410131ab51444f7d8507b45aa717c8e","Generic Equations for Long Gravity Waves in Incompressible Fluid with Finite Amplitude","We present the derivation of generic equations describing the long gravity waves in incompressible fluid with decaying effect. We show that in this theory the only restriction to the surface deviation is connected with the stability condition for the waves. Derivation of these generic equations is based on Euler equations for inviscid incompressible fluid and definition of dynamic pressure which leads to correct dispersion equation for gravity waves. These derived generic equations for velocity of fluid and the surface deviation describe the propagation of long gravity waves in incompressible fluid with finite amplitude. We also have found the necessary and sufficient conditions for generic equations with dissipation of energy or decaying effect. The developed approach can significantly improve the accuracy of theory for long gravity waves in incompressible fluid. We also have found the quasi-periodic and solitary wave solutions for generic equations with decaying effect.","long gravity waves in incompressible fluid; quasi-periodic and solitary wave solutions","10.20944/preprints202411.2105.v1","2024-11-27T06:20:54Z","/frontend/manuscript/5410131ab51444f7d8507b45aa717c8e/download_pub","/frontend/user/manuscript/5410131ab51444f7d8507b45aa717c8e/like_toggle",[246],{"name":247,"email":248},"Vladimir Kruglov","kiwivlad1@gmail.com",{"views":250,"true_downloads":41,"true_views":41,"downloads":251,"id":252,"version":253,"hash_key":254,"article_type":131,"subject":255,"top_subject":104,"title":256,"abstract":257,"keywords":258,"doi":259,"published_at":260,"download_url":261,"like_url":262,"authors":263,"score":7,"liked":150},400,250,"202401.1032",5,"25774b3e6a8c1e714e60b56c8f0782dd","Particle and Field Physics","Description of the Electron in the Electromagnetic Field: The Dirac Type Equation and the Equation for the Wave Function in Spinor Coordinate Space\u003Cstrong> \u003C/strong>","\u003Cp class=\"MsoNormal\" style=\"margin-bottom: .0001pt; text-align: justify; text-indent: 1.0cm;\">\u003Cspan lang=\"EN-US\" style=\"font-size: 12.0pt; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast; mso-ansi-language: EN-US;\">Physical processes are usually described using four-dimensional vector quantities - coordinate vector, momentum vector, current vector. But at the fundamental level they are characterized by spinors - coordinate spinors, momentum spinors, spinor wave functions. The propagation of fields and their interaction takes place at the spinor level, and since each spinor uniquely corresponds to a certain vector, the results of physical processes appear before us in vector form. For example, the relativistic Schrödinger equation and the Dirac equation are formulated by means of coordinate vectors, momentum vectors and quantum operators corresponding to them. In the Schrödinger equation the wave function is represented by a single complex quantity, in the Dirac equation a step forward is taken and the wave function is a spinor with complex components, but still coordinates and momentum are vectors. For a closed description of nature using only spinor quantities, it is necessary to have an equation similar to the Dirac equation in which momentum, coordinates and operators are spinors. It is such an equation that is presented in this paper. Using the example of the interaction between an electron and an electromagnetic field, we can see that the spinor equation contains more detailed information about the interaction than the vector equations. This is not new for quantum mechanics, since it describes interactions using complex wave functions, which cannot be observed directly, and only when measured goes to probabilities in the form of squares of the moduli of the wave functions. In the same way spinor quantities are not observable, but they completely determine observable vectors. \u003C/span>\u003Cspan lang=\"EN-US\" style=\"font-size: 12.0pt; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman'; mso-fareast-theme-font: minor-fareast; mso-ansi-language: EN-US;\">In Section 2 of the paper, we analyze the quadratic form for an arbitrary four-component complex vector based on Pauli matrices. The form is invariant with respect to Lorentz transformations including any rotations and boosts. The invariance of the form allows us to construct on its basis an equation for a free particle combining the properties of the relativistic wave equation and the Dirac equation. For an electron in the presence of an electromagnetic potential it is shown that taking into account the commutation relations between the momentum and coordinate components allows us to obtain from this equation the known results describing the interactions of the electron spin with the electric and magnetic field. In section 3 of the paper this quadratic form is expressed through momentum spinors, which makes it possible to obtain an equation for the spinor wave function in spinor coordinate space by replacing the momentum spinor components by partial derivative operators on the corresponding coordinate spinor component. Section 4 presents a modification of the theory of the path integral, which consists in considering the path integral in the spinor coordinate space. The Lagrangian densities for the scalar field and for the electron field, along with their corresponding propagators, are presented. An equation of motion for the electron is proposed that is relativistically invariant, in contrast to the Dirac equation, which lacks this invariance. This novel equation permitted the construction of an actually invariant procedure for the second quantization of the fermion field in spinor coordinate space. Furthermore, it is demonstrated that the field operators are a combination of plane waves in spinor or vector space, with the coefficients of which being pseudospinors or pseudovectors. Each of these pseudovectors or pseudospinors corresponds to one of the particles presented in the theory of electrodynamics. Furthermore, each plane wave possesses an additional coefficient in the form of a birth or annihilation operator. In vector space, these operators commute, whereas in spinor space they anticommutate. The paper presents the spinor and vector representations of the field operators in explicit form, comprising sets of 16 pseudospinors or 4 pseudovectors corresponding to particles represented in electrodynamics.\u003C/span>\u003C/p>","relativistic wave equation; Dirac equation; Pauli matrices; Schrödinger equation; second quantization; path integral","10.20944/preprints202401.1032.v5","2024-11-27T01:10:13Z","/frontend/manuscript/25774b3e6a8c1e714e60b56c8f0782dd/download_pub","/frontend/user/manuscript/25774b3e6a8c1e714e60b56c8f0782dd/like_toggle",[264],{"name":265,"email":266},"Pavel Gorev","pppay7733@yahoo.com",{"views":268,"true_downloads":7,"true_views":41,"downloads":269,"id":270,"version":271,"hash_key":272,"article_type":131,"subject":104,"top_subject":255,"title":273,"abstract":274,"keywords":275,"doi":276,"published_at":277,"download_url":278,"like_url":279,"authors":280,"score":7,"liked":150},29,55,"202410.1396",2,"049e0e9a6e99e385eeb10c5e16bb5551","Origins and Unification of the Four Fundamental Forces of Nature","\u003Cp>\u003Cspan style=\"mso-bidi-font-weight: bold;\">The four fundamental forces of nature are extremely important because they dominate the formation and evolution of the universe. However, until now, their physical origins and essential qualities have not been explained with wide acceptance. This paper provides new explanations for the origins and essences of these four forces based on different understandings, suggesting that all four fundamental forces originate from the electric force and can therefore be unified as one force. First, the gravitational force is a synthetic electric force produced by a huge number of electric charges via non-uniform charge distribution. Based on a novel inference of nuclear structure, which is strongly supported by observed phenomena, the strong and weak forces are also deduced to be electric forces. These newly introduced understandings can explain observed confusing phenomena simply and effectively, such as “dark matter,” “dark energy,” “flat galaxies,” “filamentary nebulae,” and “gamma-ray bursts” in nuclear fission or fusion and from black holes, and so on. The author presents these new understandings in an effort to find the natural truth sooner.\u003C/span>\u003C/p>","gravitational force; strong force; weak force; unification of the four fundament forces; classical space-time; dark matter; dark energy","10.20944/preprints202410.1396.v2","2024-11-26T14:01:20Z","/frontend/manuscript/049e0e9a6e99e385eeb10c5e16bb5551/download_pub","/frontend/user/manuscript/049e0e9a6e99e385eeb10c5e16bb5551/like_toggle",[281],{"name":282,"email":283},"Shangqing Liu","emailtosqliu@yahoo.com",{"views":285,"true_downloads":7,"true_views":271,"downloads":286,"id":287,"version":271,"hash_key":288,"article_type":131,"subject":104,"top_subject":289,"title":290,"abstract":291,"keywords":292,"doi":293,"published_at":294,"download_url":295,"like_url":296,"authors":297,"score":7,"liked":150},102,81,"202410.1581","052aa0768069ea789053f40a7cfee800","Space Science","Implications of Time-Invariant Space Model in Fundamental Physics and Cosmology","Time is what we measure with clocks. With clocks, we measure the duration of material change tuning in space. Material change runs in space only, time, as duration enters existence when measured. Time is an emergent physical reality that enters existence when measured by the observer. No measurement means no time. The motion does not require time. Motion requires only space and the physical object that moves in space, which is time-invariant. There is no physical past; there is no physical future. Past and future exist only in the human mind. Humans, we experience time-invariant space as NOW. 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Micron array of varying shapes were fabricated using the UV exposure technique, and test their effects on the magneto-optical Kerr response of CoFeB thin films. The influence of the organic-inorganic interface on the magneto-optical Kerr effect was investigated by utilizing organic materials to fabricate arrays. The results indicate that the micron-scale metal array exhibits a limited enhancement of the magneto-optical Kerr signal, but it can change the ferromagnetic strength and the magnetization speed of the magnetic layer. Because the electron orbit coupling at the organic inorganic interface enhances the performance of the magnetic film. When the photoresist is used as the array material, the longitudinal magneto-optical Kerr signal of the CoFeB film increases by at least 2 times. 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