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alpha units'><div class='post-entry post-entry-type-page post-entry-27203'><div class='entry-content-wrapper clearfix'><section class='av_textblock_section av-k3xn1hzr-758974405f3f6c9a2c1d9e0266bda22d ' itemscope="itemscope" itemtype="https://schema.org/CreativeWork" ><div class='avia_textblock' itemprop="text" ><h1>Trending Articles in Physics</h1></div></section><div class='flex_column av-19p3elf-b561afe5f6ea5c3c92a3e755f2014367 av_one_half avia-builder-el-1 el_after_av_textblock el_before_av_one_half first flex_column_div av-zero-column-padding column-top-margin' ><section class='av_textblock_section av-k3xj9jdd-dfa7ddec0132edcbccb1b666e5fe7e0e ' itemscope="itemscope" itemtype="https://schema.org/CreativeWork" ><div class='avia_textblock' itemprop="text" ><h2>Recent</h2></div></section><div class='av-alb-blogposts template-blog av-blog-meta-html-info-disabled ' itemscope="itemscope" itemtype="https://schema.org/Blog" ><article class="post-entry post-entry-type-standard post-entry-48591 post-loop-1 post-parity-odd bloglist-excerpt with-slider post-48591 post type-post status-publish format-standard has-post-thumbnail hentry category-physics-articles tag-earth tag-moon" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" ><div class="blog-meta"></div><div class='entry-content-wrapper clearfix standard-content'><header class="entry-content-header" aria-label="Post: Beyond the Tidal Bulge"><h2 class='post-title entry-title ' itemprop="headline" ><a href="https://www.physicsforums.com/insights/there-is-no-tidal-bulge-2/" rel="bookmark" title="Permanent Link: Beyond the Tidal Bulge">Beyond the Tidal Bulge<span class="post-format-icon minor-meta"></span></a></h2><span class="post-meta-infos"><time class="date-container minor-meta updated" itemprop="datePublished" datetime="2024-12-31T08:23:01-06:00" >December 31, 2024</time><span class="text-sep">/</span><span class="comment-container minor-meta"><a href="https://www.physicsforums.com/insights/there-is-no-tidal-bulge-2/#comments" class="comments-link" >8 Comments</a></span><span class="text-sep">/</span><span class="blog-categories minor-meta">in <a href="https://www.physicsforums.com/insights/science-math-articles/physics-articles/" rel="tag">Physics Articles</a></span><span class="text-sep">/</span><span class="blog-author minor-meta">by <span class="entry-author-link" itemprop="author" ><span class="author"><span class="fn"><a href="https://www.physicsforums.com/insights/author/d-h/" title="Posts by D H" rel="author">D H</a></span></span></span></span></span></header><p>Overview That there is no tidal bulge is the key premise of this article. Upper-level oceanography undergraduates and above know this. Yet the tidal bulge is still used to portray why the Moon is receding the Earth. If there is no tidal bulge, some other explanation is in order. That other explanation uses gravitation as…</p><div class="read-more-link"><a href="https://www.physicsforums.com/insights/there-is-no-tidal-bulge-2/" class="more-link">Read more<span class="more-link-arrow"></span></a></div><footer class="entry-footer"></footer><div class='post_delimiter'></div></div><div class="post_author_timeline"></div><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2024/12/no-tidal-bulge.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>D H</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>D H</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2024-12-31T08:23:01-06:00" >2024-12-31 08:23:01</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-12-31 16:55:30</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>Beyond the Tidal Bulge</span></span></span></article><article class="post-entry post-entry-type-standard post-entry-46583 post-loop-2 post-parity-even bloglist-excerpt with-slider post-46583 post type-post status-publish format-standard has-post-thumbnail hentry category-physics-articles tag-quantum-mechanics" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" ><div class="blog-meta"></div><div class='entry-content-wrapper clearfix standard-content'><header class="entry-content-header" aria-label="Post: PBS Video Comment: “What If Physics IS NOT Describing Reality”"><h2 class='post-title entry-title ' itemprop="headline" ><a href="https://www.physicsforums.com/insights/pbs-video-comment-what-if-physics-is-not-describing-reality/" rel="bookmark" title="Permanent Link: PBS Video Comment: “What If Physics IS NOT Describing Reality”">PBS Video Comment: “What If Physics IS NOT Describing Reality”<span class="post-format-icon minor-meta"></span></a></h2><span class="post-meta-infos"><time class="date-container minor-meta updated" itemprop="datePublished" datetime="2024-07-22T11:24:16-05:00" >July 22, 2024</time><span class="text-sep">/</span><span class="comment-container minor-meta"><a href="https://www.physicsforums.com/insights/pbs-video-comment-what-if-physics-is-not-describing-reality/#comments" class="comments-link" >3 Comments</a></span><span class="text-sep">/</span><span class="blog-categories minor-meta">in <a href="https://www.physicsforums.com/insights/science-math-articles/physics-articles/" rel="tag">Physics Articles</a></span><span class="text-sep">/</span><span class="blog-author minor-meta">by <span class="entry-author-link" itemprop="author" ><span class="author"><span class="fn"><a href="https://www.physicsforums.com/insights/author/ruta/" title="Posts by Mark Stuckey" rel="author">Mark Stuckey</a></span></span></span></span></span></header><p>PBS Space Time produces some very good videos on the foundations of quantum mechanics (QM), so let me comment on their video What If Physics IS NOT Describing Reality to provide (crucial) missing information. This comment pertains only to the first 9 min of the video, i.e., it has nothing to do with “entropic uncertainty,”…</p><div class="read-more-link"><a href="https://www.physicsforums.com/insights/pbs-video-comment-what-if-physics-is-not-describing-reality/" class="more-link">Read more<span class="more-link-arrow"></span></a></div><footer class="entry-footer"></footer><div class='post_delimiter'></div></div><div class="post_author_timeline"></div><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2024/07/physics-of-reality.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Mark Stuckey</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Mark Stuckey</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2024-07-22T11:24:16-05:00" >2024-07-22 11:24:16</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2025-01-06 15:03:16</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>PBS Video Comment: “What If Physics IS NOT Describing Reality”</span></span></span></article><article class="post-entry post-entry-type-standard post-entry-46242 post-loop-3 post-parity-odd bloglist-excerpt with-slider post-46242 post type-post status-publish format-standard has-post-thumbnail hentry category-physics-articles tag-classical-physics" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" ><div class="blog-meta"></div><div class='entry-content-wrapper clearfix standard-content'><header class="entry-content-header" aria-label="Post: Aspects Behind the Concept of Dimension in Various Fields"><h2 class='post-title entry-title ' itemprop="headline" ><a href="https://www.physicsforums.com/insights/aspects-behind-the-concept-of-dimension-in-various-fields/" rel="bookmark" title="Permanent Link: Aspects Behind the Concept of Dimension in Various Fields">Aspects Behind the Concept of Dimension in Various Fields<span class="post-format-icon minor-meta"></span></a></h2><span class="post-meta-infos"><time class="date-container minor-meta updated" itemprop="datePublished" datetime="2024-06-21T12:42:18-05:00" >June 21, 2024</time><span class="text-sep">/</span><span class="comment-container minor-meta"><a href="https://www.physicsforums.com/insights/aspects-behind-the-concept-of-dimension-in-various-fields/#comments" class="comments-link" >2 Comments</a></span><span class="text-sep">/</span><span class="blog-categories minor-meta">in <a href="https://www.physicsforums.com/insights/science-math-articles/physics-articles/" rel="tag">Physics Articles</a></span><span class="text-sep">/</span><span class="blog-author minor-meta">by <span class="entry-author-link" itemprop="author" ><span class="author"><span class="fn"><a href="https://www.physicsforums.com/insights/author/fresh_42/" title="Posts by fresh_42" rel="author">fresh_42</a></span></span></span></span></span></header><p>Abstract It took until the last century for physicists and mathematicians in the Netherlands to question the Euclidean concept of dimension as length, width, and height. Luitzen Egbertus Jan Brouwer published a ground-breaking paper On the Natural Concept of Dimension (Amsterdam, [2]) in 1913 about the mathematical definition of dimension picking up a thought from…</p><div class="read-more-link"><a href="https://www.physicsforums.com/insights/aspects-behind-the-concept-of-dimension-in-various-fields/" class="more-link">Read more<span class="more-link-arrow"></span></a></div><footer class="entry-footer"></footer><div class='post_delimiter'></div></div><div class="post_author_timeline"></div><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2022/07/pvsnp.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>fresh_42</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>fresh_42</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2024-06-21T12:42:18-05:00" >2024-06-21 12:42:18</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-12-06 21:31:12</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>Aspects Behind the Concept of Dimension in Various Fields</span></span></span></article><article class="post-entry post-entry-type-standard post-entry-45831 post-loop-4 post-parity-even bloglist-excerpt with-slider post-45831 post type-post status-publish format-standard has-post-thumbnail hentry category-physics-articles tag-special-relativity" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" ><div class="blog-meta"></div><div class='entry-content-wrapper clearfix standard-content'><header class="entry-content-header" aria-label="Post: Addition of Velocities (Velocity Composition) in Special Relativity"><h2 class='post-title entry-title ' itemprop="headline" ><a href="https://www.physicsforums.com/insights/addition-of-velocities-velocity-composition-in-special-relativity/" rel="bookmark" title="Permanent Link: Addition of Velocities (Velocity Composition) in Special Relativity">Addition of Velocities (Velocity Composition) in Special Relativity<span class="post-format-icon minor-meta"></span></a></h2><span class="post-meta-infos"><time class="date-container minor-meta updated" itemprop="datePublished" datetime="2024-05-20T06:37:49-05:00" >May 20, 2024</time><span class="text-sep">/</span><span class="comment-container minor-meta"><a href="https://www.physicsforums.com/insights/addition-of-velocities-velocity-composition-in-special-relativity/#comments" class="comments-link" >2 Comments</a></span><span class="text-sep">/</span><span class="blog-categories minor-meta">in <a href="https://www.physicsforums.com/insights/science-math-articles/physics-articles/" rel="tag">Physics Articles</a></span><span class="text-sep">/</span><span class="blog-author minor-meta">by <span class="entry-author-link" itemprop="author" ><span class="author"><span class="fn"><a href="https://www.physicsforums.com/insights/author/robphy/" title="Posts by robphy" rel="author">robphy</a></span></span></span></span></span></header><p>The “Addition of Velocities” formula (more correctly, the “Composition of Velocities” formula) in Special Relativity [tex]\frac{v_{AC}}{c}=\frac{ \frac{v_{AB}}{c}+\frac{v_{BC}}{c} }{1 + \frac{v_{AB}}{c} \frac{v_{BC}}{c}}[/tex] is a non-intuitive result that arises from a “hyperbolic-tangent of a sum”-identity in Minkowski spacetime geometry, with its use of hyperbolic trigonometry. However, I claim it is difficult to obtain this by looking at…</p><div class="read-more-link"><a href="https://www.physicsforums.com/insights/addition-of-velocities-velocity-composition-in-special-relativity/" class="more-link">Read more<span class="more-link-arrow"></span></a></div><footer class="entry-footer"></footer><div class='post_delimiter'></div></div><div class="post_author_timeline"></div><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2024/05/addition_of_velocities.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>robphy</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>robphy</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2024-05-20T06:37:49-05:00" >2024-05-20 06:37:49</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-09-30 09:15:04</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>Addition of Velocities (Velocity Composition) in Special Relativity</span></span></span></article><article class="post-entry post-entry-type-standard post-entry-45596 post-loop-5 post-parity-odd bloglist-excerpt with-slider post-45596 post type-post status-publish format-standard has-post-thumbnail hentry category-physics-articles tag-quantum-mechanics" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" ><div class="blog-meta"></div><div class='entry-content-wrapper clearfix standard-content'><header class="entry-content-header" aria-label="Post: Schrödinger’s Cat and the Qbit"><h2 class='post-title entry-title ' itemprop="headline" ><a href="https://www.physicsforums.com/insights/schrodingers-cat-and-the-qbit/" rel="bookmark" title="Permanent Link: Schrödinger’s Cat and the Qbit">Schrödinger’s Cat and the Qbit<span class="post-format-icon minor-meta"></span></a></h2><span class="post-meta-infos"><time class="date-container minor-meta updated" itemprop="datePublished" datetime="2024-04-02T08:51:19-05:00" >April 2, 2024</time><span class="text-sep">/</span><span class="comment-container minor-meta"><a href="https://www.physicsforums.com/insights/schrodingers-cat-and-the-qbit/#comments" class="comments-link" >27 Comments</a></span><span class="text-sep">/</span><span class="blog-categories minor-meta">in <a href="https://www.physicsforums.com/insights/science-math-articles/physics-articles/" rel="tag">Physics Articles</a></span><span class="text-sep">/</span><span class="blog-author minor-meta">by <span class="entry-author-link" itemprop="author" ><span class="author"><span class="fn"><a href="https://www.physicsforums.com/insights/author/ruta/" title="Posts by Mark Stuckey" rel="author">Mark Stuckey</a></span></span></span></span></span></header><p>The concept of quantum superposition (or superposition for short) is very counterintuitive, as Schr##\ddot{\text{o}}##dinger noted in 1935 writing [1], “One can even set up quite ridiculous cases.” To make his point, he assumed a cat was closed out of sight in a box with a radioactive material that would decay with 50% probability within an…</p><div class="read-more-link"><a href="https://www.physicsforums.com/insights/schrodingers-cat-and-the-qbit/" class="more-link">Read more<span class="more-link-arrow"></span></a></div><footer class="entry-footer"></footer><div class='post_delimiter'></div></div><div class="post_author_timeline"></div><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2024/03/shrodingers-cat.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Mark Stuckey</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Mark Stuckey</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2024-04-02T08:51:19-05:00" >2024-04-02 08:51:19</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2025-01-06 15:26:42</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>Schrödinger’s Cat and the Qbit</span></span></span></article><article class="post-entry post-entry-type-standard post-entry-45556 post-loop-6 post-parity-even bloglist-excerpt with-slider post-45556 post type-post status-publish format-standard has-post-thumbnail hentry category-physics-articles tag-mechanics" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" ><div class="blog-meta"></div><div class='entry-content-wrapper clearfix standard-content'><header class="entry-content-header" aria-label="Post: The Slinky Drop Experiment Analysed"><h2 class='post-title entry-title ' itemprop="headline" ><a href="https://www.physicsforums.com/insights/the-slinky-drop-experiment-analysed/" rel="bookmark" title="Permanent Link: The Slinky Drop Experiment Analysed">The Slinky Drop Experiment Analysed<span class="post-format-icon minor-meta"></span></a></h2><span class="post-meta-infos"><time class="date-container minor-meta updated" itemprop="datePublished" datetime="2024-03-28T16:19:54-05:00" >March 28, 2024</time><span class="text-sep">/</span><span class="comment-container minor-meta"><a href="https://www.physicsforums.com/insights/the-slinky-drop-experiment-analysed/#comments" class="comments-link" >1 Comment</a></span><span class="text-sep">/</span><span class="blog-categories minor-meta">in <a href="https://www.physicsforums.com/insights/science-math-articles/physics-articles/" rel="tag">Physics Articles</a></span><span class="text-sep">/</span><span class="blog-author minor-meta">by <span class="entry-author-link" itemprop="author" ><span class="author"><span class="fn"><a href="https://www.physicsforums.com/insights/author/orodruin/" title="Posts by Orodruin" rel="author">Orodruin</a></span></span></span></span></span></header><p>The slinky drop is a rather simple experiment. In its most basic form, it requires only a popular toy for children, a stable hand, and a keen eye. For a better view, using a modern smartphone to capture a video of the experiment also helps to capture the falling slinky. Apart from the commonly quoted…</p><div class="read-more-link"><a href="https://www.physicsforums.com/insights/the-slinky-drop-experiment-analysed/" class="more-link">Read more<span class="more-link-arrow"></span></a></div><footer class="entry-footer"></footer><div class='post_delimiter'></div></div><div class="post_author_timeline"></div><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2024/03/slinky-drop-experiment.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Orodruin</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Orodruin</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2024-03-28T16:19:54-05:00" >2024-03-28 16:19:54</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-09-30 09:01:52</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>The Slinky Drop Experiment Analysed</span></span></span></article><article class="post-entry post-entry-type-standard post-entry-48162 post-loop-7 post-parity-odd bloglist-excerpt with-slider post-48162 post type-post status-publish format-standard has-post-thumbnail hentry category-physics-articles tag-cosmology tag-spacetime tag-universe" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" ><div class="blog-meta"></div><div class='entry-content-wrapper clearfix standard-content'><header class="entry-content-header" aria-label="Post: Is the Universe Finite, or Is It Infinite?"><h2 class='post-title entry-title ' itemprop="headline" ><a href="https://www.physicsforums.com/insights/infinite-universe/" rel="bookmark" title="Permanent Link: Is the Universe Finite, or Is It Infinite?">Is the Universe Finite, or Is It Infinite?<span class="post-format-icon minor-meta"></span></a></h2><span class="post-meta-infos"><time class="date-container minor-meta updated" itemprop="datePublished" datetime="2024-03-16T10:35:04-05:00" >March 16, 2024</time><span class="text-sep">/</span><span class="comment-container minor-meta"><a href="https://www.physicsforums.com/insights/infinite-universe/#respond" class="comments-link" >0 Comments</a></span><span class="text-sep">/</span><span class="blog-categories minor-meta">in <a href="https://www.physicsforums.com/insights/science-math-articles/physics-articles/" rel="tag">Physics Articles</a></span><span class="text-sep">/</span><span class="blog-author minor-meta">by <span class="entry-author-link" itemprop="author" ><span class="author"><span class="fn"><a href="https://www.physicsforums.com/insights/author/greg-bernhardt/" title="Posts by Greg Bernhardt" rel="author">Greg Bernhardt</a></span></span></span></span></span></header><p>Standard cosmological models come in three flavors, open, flat, and closed,[Carroll] whose spatial curvatures are negative, zero, and positive. The open and flat types have infinite spatial volume. The closed one has finite spatial volume; spatially, it is the three-dimensional analog of the surface of a sphere. Since all three are solutions to the Einstein…</p><div class="read-more-link"><a href="https://www.physicsforums.com/insights/infinite-universe/" class="more-link">Read more<span class="more-link-arrow"></span></a></div><footer class="entry-footer"></footer><div class='post_delimiter'></div></div><div class="post_author_timeline"></div><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2024/11/infinite-universe.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Greg Bernhardt</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Greg Bernhardt</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2024-03-16T10:35:04-05:00" >2024-03-16 10:35:04</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-12-06 21:31:12</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>Is the Universe Finite, or Is It Infinite?</span></span></span></article><article class="post-entry post-entry-type-standard post-entry-48225 post-loop-8 post-parity-even bloglist-excerpt with-slider post-48225 post type-post status-publish format-standard has-post-thumbnail hentry category-physics-tutorials tag-einstein tag-relativity" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" ><div class="blog-meta"></div><div class='entry-content-wrapper clearfix standard-content'><header class="entry-content-header" aria-label="Post: All About the Einstein Field Equations"><h2 class='post-title entry-title ' itemprop="headline" ><a href="https://www.physicsforums.com/insights/all-about-the-einstein-field-equations/" rel="bookmark" title="Permanent Link: All About the Einstein Field Equations">All About the Einstein Field Equations<span class="post-format-icon minor-meta"></span></a></h2><span class="post-meta-infos"><time class="date-container minor-meta updated" itemprop="datePublished" datetime="2024-02-26T08:29:20-06:00" >February 26, 2024</time><span class="text-sep">/</span><span class="comment-container minor-meta"><a href="https://www.physicsforums.com/insights/all-about-the-einstein-field-equations/#respond" class="comments-link" >0 Comments</a></span><span class="text-sep">/</span><span class="blog-categories minor-meta">in <a href="https://www.physicsforums.com/insights/science-math-tutorials/physics-tutorials/" rel="tag">Physics Tutorials</a></span><span class="text-sep">/</span><span class="blog-author minor-meta">by <span class="entry-author-link" itemprop="author" ><span class="author"><span class="fn"><a href="https://www.physicsforums.com/insights/author/greg-bernhardt/" title="Posts by Greg Bernhardt" rel="author">Greg Bernhardt</a></span></span></span></span></span></header><p>Definition/Summary The Einstein Field Equations (EFE) are a set of ten interrelated differential equations that form the core of Einstein’s general theory of relativity. These equations describe how matter and energy determine the curvature of spacetime, providing a mathematical framework to relate spacetime geometry to its energy-matter content. Mathematically, the EFE relate the Ricci curvature…</p><div class="read-more-link"><a href="https://www.physicsforums.com/insights/all-about-the-einstein-field-equations/" class="more-link">Read more<span class="more-link-arrow"></span></a></div><footer class="entry-footer"></footer><div class='post_delimiter'></div></div><div class="post_author_timeline"></div><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2024/11/einstein-field-equations.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Greg Bernhardt</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Greg Bernhardt</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2024-02-26T08:29:20-06:00" >2024-02-26 08:29:20</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-11-26 08:43:24</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>All About the Einstein Field Equations</span></span></span></article><article class="post-entry post-entry-type-standard post-entry-44868 post-loop-9 post-parity-odd post-entry-last bloglist-excerpt with-slider post-44868 post type-post status-publish format-standard has-post-thumbnail hentry category-physics-tutorials tag-classical-physics tag-mechanics" itemscope="itemscope" itemtype="https://schema.org/BlogPosting" ><div class="blog-meta"></div><div class='entry-content-wrapper clearfix standard-content'><header class="entry-content-header" aria-label="Post: How to Solve a Multi-Atwood Machine Assembly"><h2 class='post-title entry-title ' itemprop="headline" ><a href="https://www.physicsforums.com/insights/how-to-solve-a-multi-atwood-machine-assembly/" rel="bookmark" title="Permanent Link: How to Solve a Multi-Atwood Machine Assembly">How to Solve a Multi-Atwood Machine Assembly<span class="post-format-icon minor-meta"></span></a></h2><span class="post-meta-infos"><time class="date-container minor-meta updated" itemprop="datePublished" datetime="2024-02-16T10:18:12-06:00" >February 16, 2024</time><span class="text-sep">/</span><span class="comment-container minor-meta"><a href="https://www.physicsforums.com/insights/how-to-solve-a-multi-atwood-machine-assembly/#comments" class="comments-link" >2 Comments</a></span><span class="text-sep">/</span><span class="blog-categories minor-meta">in <a href="https://www.physicsforums.com/insights/science-math-tutorials/physics-tutorials/" rel="tag">Physics Tutorials</a></span><span class="text-sep">/</span><span class="blog-author minor-meta">by <span class="entry-author-link" itemprop="author" ><span class="author"><span class="fn"><a href="https://www.physicsforums.com/insights/author/kuruman/" title="Posts by kuruman" rel="author">kuruman</a></span></span></span></span></span></header><p>Introduction The figure on the right shows a “double-double” Atwood machine with three ideal pulleys and four masses. All pulleys are released from rest simultaneously. Which of the choices below describes the angular motion of the top pulley P after some time has elapsed and why? It rotates clockwise with increasing angular speed. It rotates…</p><div class="read-more-link"><a href="https://www.physicsforums.com/insights/how-to-solve-a-multi-atwood-machine-assembly/" class="more-link">Read more<span class="more-link-arrow"></span></a></div><footer class="entry-footer"></footer><div class='post_delimiter'></div></div><div class="post_author_timeline"></div><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2024/02/Multi-Atwood-Machine-Assembly.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>kuruman</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span 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