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Search results for: nonlocality
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class="col-md-9 mx-auto"> <form method="get" action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="nonlocality"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 4</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: nonlocality</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4</span> Establishing Multi-Leveled Computability as a Living-System Evolutionary Context</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ron%20Cottam">Ron Cottam</a>, <a href="https://publications.waset.org/abstracts/search?q=Nils%20Langloh"> Nils Langloh</a>, <a href="https://publications.waset.org/abstracts/search?q=Willy%20Ranson"> Willy Ranson</a>, <a href="https://publications.waset.org/abstracts/search?q=Roger%20Vounckx"> Roger Vounckx</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We start by formally describing the requirements for environmental-reaction survival computation in a natural temporally-demanding medium, and develop this into a more general model of the evolutionary context as a computational machine. The effect of this development is to replace deterministic logic by a modified form which exhibits a continuous range of dimensional fractal diffuseness between the isolation of perfectly ordered localization and the extended communication associated with nonlocality as represented by pure causal chaos. We investigate the appearance of life and consciousness in the derived general model, and propose a representation of Nature within which all localizations have the character of quasi-quantal entities. We compare our conclusions with Heisenberg’s uncertainty principle and nonlocal teleportation, and maintain that computability is the principal influence on evolution in the model we propose. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=computability" title="computability">computability</a>, <a href="https://publications.waset.org/abstracts/search?q=evolution" title=" evolution"> evolution</a>, <a href="https://publications.waset.org/abstracts/search?q=life" title=" life"> life</a>, <a href="https://publications.waset.org/abstracts/search?q=localization" title=" localization"> localization</a>, <a href="https://publications.waset.org/abstracts/search?q=modeling" title=" modeling"> modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlocality" title=" nonlocality"> nonlocality</a> </p> <a href="https://publications.waset.org/abstracts/71088/establishing-multi-leveled-computability-as-a-living-system-evolutionary-context" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/71088.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">399</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3</span> Nonlocal Phenomena in Quantum Mechanics</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kazim%20G.%20Atman">Kazim G. Atman</a>, <a href="https://publications.waset.org/abstracts/search?q=H%C3%BCseyin%20Sirin"> Hüseyin Sirin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In theoretical physics, nonlocal phenomena has always been subject of debate. However, in the conventional mathematical approach where the developments of the physical systems are investigated by using the standard mathematical tools, nonlocal effects are not taken into account. In order to investigate the nonlocality in quantum mechanics and fractal property of space, fractional derivative operators are employed in this study. In this manner, fractional creation and annihilation operators are introduced and Einstein coefficients are taken into account as an application of concomitant formalism in quantum field theory. Therefore, each energy mode of photons are considered as fractional quantized harmonic oscillator hereby Einstein coefficients are obtained. Nevertheless, wave function and energy eigenvalues of fractional quantum mechanical harmonic oscillator are obtained via the fractional derivative order α which is a measure of the influence of nonlocal effects. In the case α = 1, where space becomes homogeneous and continuous, standard physical conclusions are recovered. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Einstein%E2%80%99s%20Coefficients" title="Einstein’s Coefficients">Einstein’s Coefficients</a>, <a href="https://publications.waset.org/abstracts/search?q=Fractional%20Calculus" title=" Fractional Calculus"> Fractional Calculus</a>, <a href="https://publications.waset.org/abstracts/search?q=Fractional%20Quantum%20Mechanics" title=" Fractional Quantum Mechanics"> Fractional Quantum Mechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=Nonlocal%20Theories" title=" Nonlocal Theories"> Nonlocal Theories</a> </p> <a href="https://publications.waset.org/abstracts/124566/nonlocal-phenomena-in-quantum-mechanics" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/124566.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">170</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2</span> Quantifying Parallelism of Vectors Is the Quantification of Distributed N-Party Entanglement</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Shreya%20Banerjee">Shreya Banerjee</a>, <a href="https://publications.waset.org/abstracts/search?q=Prasanta%20K.%20Panigrahi"> Prasanta K. Panigrahi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The three-way distributive entanglement is shown to be related to the parallelism of vectors. Using a measurement-based approach a set of 2−dimensional vectors is formed, representing the post-measurement states of one of the parties. These vectors originate at the same point and have an angular distance between them. The area spanned by a pair of such vectors is a measure of the entanglement of formation. This leads to a geometrical manifestation of the 3−tangle in 2−dimensions, from inequality in the area which generalizes for n− qubits to reveal that the n− tangle also has a planar structure. Quantifying the genuine n−party entanglement in every 1|(n − 1) bi-partition it is shown that the genuine n−way entanglement does not manifest in n− tangle. A new quantity geometrically similar to 3−tangle is then introduced that represents the genuine n− way entanglement. Extending the formalism to 3− qutrits, the nonlocality without entanglement can be seen to arise from a condition under which the post-measurement state vectors of a separable state show parallelism. A connection to nontrivial sum uncertainty relation analogous to Maccone and Pati uncertainty relation is then presented using decomposition of post-measurement state vectors along parallel and perpendicular direction of the pre-measurement state vectors. This study opens a novel way to understand multiparty entanglement in qubit and qudit systems. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Geometry%20of%20quantum%20entanglement" title="Geometry of quantum entanglement">Geometry of quantum entanglement</a>, <a href="https://publications.waset.org/abstracts/search?q=Multipartite%20and%20distributive%20entanglement" title=" Multipartite and distributive entanglement"> Multipartite and distributive entanglement</a>, <a href="https://publications.waset.org/abstracts/search?q=Parallelism%20of%20vectors" title=" Parallelism of vectors "> Parallelism of vectors </a>, <a href="https://publications.waset.org/abstracts/search?q=Tangle" title=" Tangle"> Tangle</a> </p> <a href="https://publications.waset.org/abstracts/121889/quantifying-parallelism-of-vectors-is-the-quantification-of-distributed-n-party-entanglement" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/121889.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">154</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1</span> Nonlinear Triad Interactions in Magnetohydrodynamic Plasma Turbulence</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Yasser%20Rammah">Yasser Rammah</a>, <a href="https://publications.waset.org/abstracts/search?q=Wolf-Christian%20Mueller"> Wolf-Christian Mueller</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Nonlinear triad interactions in incompressible three-dimensional magnetohydrodynamic (3D-MHD) turbulence are studied by analyzing data from high-resolution direct numerical simulations of decaying isotropic (5123 grid points) and forced anisotropic (10242 x256 grid points) turbulence. An accurate numerical approach toward analyzing nonlinear turbulent energy transfer function and triad interactions is presented. It involves the direct numerical examination of every wavenumber triad that is associated with the nonlinear terms in the differential equations of MHD in the inertial range of turbulence. The technique allows us to compute the spectral energy transfer and energy fluxes, as well as the spectral locality property of energy transfer function. To this end, the geometrical shape of each underlying wavenumber triad that contributes to the statistical transfer density function is examined to infer the locality of the energy transfer. Results show that the total energy transfer is local via nonlocal triad interactions in decaying macroscopically isotropic MHD turbulence. In anisotropic MHD, turbulence subject to a strong mean magnetic field the nonlinear transfer is generally weaker and exhibits a moderate increase of nonlocality in both perpendicular and parallel directions compared to the isotropic case. These results support the recent mathematical findings, which also claim the locality of nonlinear energy transfer in MHD turbulence. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=magnetohydrodynamic%20%28MHD%29%20turbulence" title="magnetohydrodynamic (MHD) turbulence">magnetohydrodynamic (MHD) turbulence</a>, <a href="https://publications.waset.org/abstracts/search?q=transfer%20density%20function" title=" transfer density function"> transfer density function</a>, <a href="https://publications.waset.org/abstracts/search?q=locality%20function" title=" locality function"> locality function</a>, <a href="https://publications.waset.org/abstracts/search?q=direct%20numerical%20simulation%20%28DNS%29" title=" direct numerical simulation (DNS)"> direct numerical simulation (DNS)</a> </p> <a href="https://publications.waset.org/abstracts/38684/nonlinear-triad-interactions-in-magnetohydrodynamic-plasma-turbulence" class="btn 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