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John Vaccaro (johniac)<p>SciTech Chronicles. . . . . . . . .April 9th, 2025</p><p><a href="https://bit.ly/stc040925" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">bit.ly/stc040925</span><span class="invisible"></span></a></p><p><a href="https://mastodon.social/tags/virus" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>virus</span></a> <a href="https://mastodon.social/tags/vector" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>vector</span></a>-based <a href="https://mastodon.social/tags/T" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>T</span></a>-cell <a href="https://mastodon.social/tags/respiratory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>respiratory</span></a> <a href="https://mastodon.social/tags/moisture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>moisture</span></a> <a href="https://mastodon.social/tags/temperature" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>temperature</span></a> <a href="https://mastodon.social/tags/instability" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>instability</span></a> <a href="https://mastodon.social/tags/latent" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>latent</span></a>-heat <a href="https://mastodon.social/tags/transient" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>transient</span></a> <a href="https://mastodon.social/tags/temporal" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>temporal</span></a> <a href="https://mastodon.social/tags/singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>singularities</span></a> <a href="https://mastodon.social/tags/acceleration" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>acceleration</span></a> <a href="https://mastodon.social/tags/fuel" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fuel</span></a>-cell <a href="https://mastodon.social/tags/PEM" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PEM</span></a> <a href="https://mastodon.social/tags/fincantieri" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fincantieri</span></a> <a href="https://mastodon.social/tags/decarbonization" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>decarbonization</span></a> <a href="https://mastodon.social/tags/1420MHz" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>1420MHz</span></a> <a href="https://mastodon.social/tags/redshift" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>redshift</span></a> #88-108MHz <a href="https://mastodon.social/tags/CubeSats" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CubeSats</span></a></p>
Knowledge Zone<p>5 Most <a href="https://mstdn.social/tags/Amazing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Amazing</span></a> <a href="https://mstdn.social/tags/Mathematical" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematical</span></a> <a href="https://mstdn.social/tags/Discoveries" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Discoveries</span></a> Made by <a href="https://mstdn.social/tags/Amateurs" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Amateurs</span></a> : Medium</p><p><a href="https://mstdn.social/tags/Singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Singularities</span></a> Could Be <a href="https://mstdn.social/tags/Doorways" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Doorways</span></a> to Completely New Realities, <a href="https://mstdn.social/tags/Scientists" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Scientists</span></a> Suggest : Misc</p><p>When you might start <a href="https://mstdn.social/tags/Speaking" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Speaking</span></a> to <a href="https://mstdn.social/tags/Robots" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Robots</span></a> : Tech Review</p><p>Check our latest <a href="https://mstdn.social/tags/KnowledgeLinks" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>KnowledgeLinks</span></a></p><p><a href="https://knowledgezone.co.in/resources/bookmarks" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">knowledgezone.co.in/resources/</span><span class="invisible">bookmarks</span></a></p>
Norbert_R 🧣🐘🦣<p><a href="https://mastodon.social/tags/SGU" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>SGU</span></a> <a href="https://mastodon.social/tags/TheSkepticsGuideToTheUniverse" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TheSkepticsGuideToTheUniverse</span></a>: <br>The Skeptics Guide #1024 - Feb 22 2025</p><p>News Items: <a href="https://mastodon.social/tags/BirdBrains" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BirdBrains</span></a>, Indoor <a href="https://mastodon.social/tags/AirQuality" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>AirQuality</span></a>, <a href="https://mastodon.social/tags/Abortions" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Abortions</span></a> and Infant <a href="https://mastodon.social/tags/Mortality" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mortality</span></a>, <a href="https://mastodon.social/tags/BlackHoles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BlackHoles</span></a> Without <a href="https://mastodon.social/tags/Singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Singularities</span></a>, Banning <a href="https://mastodon.social/tags/Chemtrails" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Chemtrails</span></a>; Who's That <a href="https://mastodon.social/tags/Noisy" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Noisy</span></a>; Your Questions and E-mails: <a href="https://mastodon.social/tags/Asteroid" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Asteroid</span></a> Hitting the <a href="https://mastodon.social/tags/Moon" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Moon</span></a>; <a href="https://mastodon.social/tags/Swindler" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Swindler</span></a>'s List: Tax Scams; <a href="https://mastodon.social/tags/Science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Science</span></a> or Fiction</p><p>Webseite der Episode: <a href="https://www.theskepticsguide.org/podcast/sgu" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">theskepticsguide.org/podcast/s</span><span class="invisible">gu</span></a></p><p>Mediendatei: <a href="https://traffic.libsyn.com/secure/skepticsguide/skepticast2025-02-22.mp3" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">traffic.libsyn.com/secure/skep</span><span class="invisible">ticsguide/skepticast2025-02-22.mp3</span></a></p>
Khurram Wadee ✅<p>The <a href="https://mastodon.org.uk/tags/Zhukovsky" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Zhukovsky</span></a> <a href="https://mastodon.org.uk/tags/Aerofoil" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Aerofoil</span></a> (sometimes transliterated as <a href="https://mastodon.org.uk/tags/Joukowsky" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Joukowsky</span></a> from <a href="https://mastodon.org.uk/tags/Russian" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Russian</span></a>), is a 2D model of <a href="https://mastodon.org.uk/tags/streamlined" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>streamlined</span></a> <a href="https://mastodon.org.uk/tags/Airflow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Airflow</span></a> past a <a href="https://mastodon.org.uk/tags/wing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>wing</span></a>. It uses <a href="https://mastodon.org.uk/tags/ComplexVariable" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ComplexVariable</span></a> and is an <a href="https://mastodon.org.uk/tags/AnalyticFunction" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>AnalyticFunction</span></a> (i.e. <a href="https://mastodon.org.uk/tags/Differentiable" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Differentiable</span></a> everywhere, save at isolated <a href="https://mastodon.org.uk/tags/Singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Singularities</span></a>). Take a circle in the <a href="https://mastodon.org.uk/tags/ComplexPlane" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>ComplexPlane</span></a> which is not quite centred at the <a href="https://mastodon.org.uk/tags/origin" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>origin</span></a> but passes through the <a href="https://mastodon.org.uk/tags/coordinate" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>coordinate</span></a> (1,0) or (z=1+0i).</p><p><a href="https://mastodon.org.uk/tags/MyWork" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MyWork</span></a> <a href="https://mastodon.org.uk/tags/CCBYSA" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CCBYSA</span></a> <a href="https://mastodon.org.uk/tags/AppliedMathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>AppliedMathematics</span></a> <a href="https://mastodon.org.uk/tags/WxMaxima" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>WxMaxima</span></a> <a href="https://mastodon.org.uk/tags/FreeSoftware" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>FreeSoftware</span></a> <a href="https://mastodon.org.uk/tags/Aeronautics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Aeronautics</span></a> <a href="https://mastodon.org.uk/tags/Aerodynamics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Aerodynamics</span></a> <a href="https://mastodon.org.uk/tags/LaminarFlow" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>LaminarFlow</span></a></p>
John Pickering<p>I've just discovered (should be Sir) Roy Kerr (<a href="https://en.wikipedia.org/wiki/Roy_Kerr" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">en.wikipedia.org/wiki/Roy_Kerr</span><span class="invisible"></span></a>) , <a href="https://mastodon.nz/tags/NewZealand" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>NewZealand</span></a> mathematician famous for his solution for rotating black holes published a paper last month which showed <a href="https://mastodon.nz/tags/singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>singularities</span></a> do not have to exist in a <a href="https://mastodon.nz/tags/BlackHole" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BlackHole</span></a>, at least not how the 2020 Nobel prize winner Sir Roger Penrose described. For <a href="https://mastodon.nz/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Physics</span></a> this is a huge deal. For <a href="https://mastodon.nz/tags/NewZealand" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>NewZealand</span></a> media it wasn't worth a mention. But, here is a description of what he's done if you are game. <a href="https://flip.it/iwDh4a" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">flip.it/iwDh4a</span><span class="invisible"></span></a></p>
Jim Donegan 🎵 ✅<p>What if <a href="https://mastodon.scot/tags/Singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Singularities</span></a> DO NOT Exist? </p><p><a href="https://www.youtube.com/watch?v=HRir6-9tsJs" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">youtube.com/watch?v=HRir6-9tsJ</span><span class="invisible">s</span></a> </p><p><a href="https://mastodon.scot/tags/Science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Science</span></a> <a href="https://mastodon.scot/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Physics</span></a> <a href="https://mastodon.scot/tags/BlackHole" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BlackHole</span></a> <a href="https://mastodon.scot/tags/BlackHoles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BlackHoles</span></a> <a href="https://mastodon.scot/tags/Singularity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Singularity</span></a> <a href="https://mastodon.scot/tags/Astrophysics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Astrophysics</span></a> <a href="https://mastodon.scot/tags/Kerr" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Kerr</span></a> <a href="https://mastodon.scot/tags/RoyKerr" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>RoyKerr</span></a> <a href="https://mastodon.scot/tags/Penrose" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Penrose</span></a> <a href="https://mastodon.scot/tags/RogerPenrose" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>RogerPenrose</span></a> <a href="https://mastodon.scot/tags/PenroseSingularity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PenroseSingularity</span></a> <a href="https://mastodon.scot/tags/PenroseSingularityTheorem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PenroseSingularityTheorem</span></a> <a href="https://mastodon.scot/tags/Geodesic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Geodesic</span></a> <a href="https://mastodon.scot/tags/Geodesics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Geodesics</span></a> <a href="https://mastodon.scot/tags/GeodesicIncompleteness" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>GeodesicIncompleteness</span></a> <a href="https://mastodon.scot/tags/GR" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>GR</span></a> <a href="https://mastodon.scot/tags/GeneralRelativity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>GeneralRelativity</span></a> <a href="https://mastodon.scot/tags/PBSSpacetime" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PBSSpacetime</span></a> <a href="https://mastodon.scot/tags/PBS" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PBS</span></a> <a href="https://mastodon.scot/tags/MattOdowd" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>MattOdowd</span></a></p>
Emma Lee<p>“You &amp; Mia can’t become <a href="https://mastodon.online/tags/singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>singularities</span></a>,” said Ava.<br>“Can’t guilt-trip us into staying together,” said Tom.<br>“Think,” said Dan. “Why aren’t you with her now?”<br>“It’s not about a wedding dress. Mia didn’t cancel an appointment. She’s too loyal,” said Ava.<br>“I need to go home.” <a href="https://mastodon.online/tags/vss365" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>vss365</span></a></p>
poratlu<p><span class="h-card" translate="no"><a href="https://toad.social/@TruthSandwich" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>TruthSandwich</span></a></span> This forced me back to Hawking and Ellis. </p><p>They say, "One should probably also regard a null geodesically-incomplete spacetime as singular," for a couple of actually not very strong reasons. </p><p>(One is: the Reissner-Nordström solution is (a) singular, and (b) timelike geodesically complete but null incomplete. So let's hope the latter implies the former.)</p><p>And I guess everyone has just run with that ever since (other than Roy). </p><p><a href="https://scicomm.xyz/tags/Hawking" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Hawking</span></a> <a href="https://scicomm.xyz/tags/Penrose" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Penrose</span></a> <a href="https://scicomm.xyz/tags/Kerr" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Kerr</span></a> <a href="https://scicomm.xyz/tags/Singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Singularities</span></a> <a href="https://scicomm.xyz/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Physics</span></a></p>
Ronaldo V. Lobato<p>Roy Kerr vs. the singularities</p><p><a href="http://www.unitaryflow.com/2023/11/roy-kerr-vs-singularities.html" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">http://www.</span><span class="ellipsis">unitaryflow.com/2023/11/roy-ke</span><span class="invisible">rr-vs-singularities.html</span></a></p><p><a href="https://mathstodon.xyz/tags/BlackHoles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BlackHoles</span></a> <a href="https://mathstodon.xyz/tags/Singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Singularities</span></a> <a href="https://mathstodon.xyz/tags/KerrMetric" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>KerrMetric</span></a> <a href="https://mathstodon.xyz/tags/Gravity" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Gravity</span></a></p>
Soh Kam Yung<p>By <span class="h-card" translate="no"><a href="https://astrodon.social/@startswithabang" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>startswithabang</span></a></span> </p><p>"Although Roger Penrose won the Nobel Prize in physics just a few years ago for demonstrating how black holes come to exist in our Universe, singularities and all, the subject isn't closed. We've never peered beneath the event horizon, and have no way of detecting what's inside. Using a powerful mathematical argument, [Roy] Kerr argues that singularities shouldn't physically exist. He may be right."</p><p><a href="https://bigthink.com/starts-with-a-bang/singularities-dont-exist-roy-kerr/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">bigthink.com/starts-with-a-ban</span><span class="invisible">g/singularities-dont-exist-roy-kerr/</span></a></p><p><a href="https://mstdn.io/tags/BlackHoles" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>BlackHoles</span></a> <a href="https://mstdn.io/tags/Singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Singularities</span></a> </p><p><span class="h-card" translate="no"><a href="https://mathstodon.xyz/@gregeganSF" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>gregeganSF</span></a></span></p>
David L Schafer 🥭<p>We’re approaching an era of British mysteries where a one hour show is 59 minutes and 54 seconds of the detective being demonstrably depressed, and 6 seconds of the crime being solved by pulling up security camera footage from the exact moment and location of the crime. <a href="https://ohai.social/tags/tv" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>tv</span></a> <a href="https://ohai.social/tags/singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>singularities</span></a> <a href="https://ohai.social/tags/television" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>television</span></a></p>
New Submissions to TMLR<p>Mathematical analysis of singularities in the diffusion model under the submanifold assumption</p><p><a href="https://openreview.net/forum?id=YKlbtUxEAK" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://</span><span class="ellipsis">openreview.net/forum?id=YKlbtU</span><span class="invisible">xEAK</span></a></p><p><a href="https://sigmoid.social/tags/diffusion" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>diffusion</span></a> <a href="https://sigmoid.social/tags/sampling" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>sampling</span></a> <a href="https://sigmoid.social/tags/singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>singularities</span></a></p>
Nalini Joshi<p>It occurred to me that <a href="https://mathstodon.xyz/tags/resolution" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>resolution</span></a> of <a href="https://mathstodon.xyz/tags/singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>singularities</span></a> is very similar to giving birth. The outcome is an exceptional line and a total transform of your life … <a href="https://mathstodon.xyz/tags/mathjoke" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathjoke</span></a> (with apologies to <a href="https://mathstodon.xyz/tags/algebraicgeometers" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>algebraicgeometers</span></a> )</p>
mc ☕<p>&gt; One of the central problems in fluid dynamics is to figure out if the [Euler] equations ever fail, outputting nonsensical values that render them unable to predict a fluid’s future states.<br>&gt; Mathematicians have long suspected that there exist initial conditions that cause the equations to break down. But they haven’t been able to prove it.<br>&gt; In a preprint posted online last month, a pair of mathematicians has shown that a particular version of the Euler equations does indeed sometimes fail.<br>...<br>&gt; Perhaps in some situations, the equations will proceed as expected, producing precise values for the state of the fluid at any given moment, only for one of those values to suddenly skyrocket to infinity. At that point, the Euler equations are said to give rise to a “singularity” — or, more dramatically, to “blow up.”<br>&gt; Once they hit that singularity, the equations will no longer be able to compute the fluid’s flow.<br>...</p><p>Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations<br><a href="https://www.quantamagazine.org/computer-helps-prove-long-sought-fluid-equation-singularity-20221116/" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">quantamagazine.org/computer-he</span><span class="invisible">lps-prove-long-sought-fluid-equation-singularity-20221116/</span></a></p><p>Very important and interesting work, if you're a mathematician, a physicist or an engineer that has ever 'crashed' with Euler/Navier-Stokes equations.</p><p><a href="https://qoto.org/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://qoto.org/tags/physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>physics</span></a> <a href="https://qoto.org/tags/fluids" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>fluids</span></a> <a href="https://qoto.org/tags/euler" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>euler</span></a> <a href="https://qoto.org/tags/navierstokes" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>navierstokes</span></a> <a href="https://qoto.org/tags/equations" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>equations</span></a> <a href="https://qoto.org/tags/singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>singularities</span></a></p>
Nalini Joshi<p>Anyone here do <a href="https://mathstodon.xyz/tags/resolutions" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>resolutions</span></a> of <a href="https://mathstodon.xyz/tags/singularities" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>singularities</span></a> explicitly?</p>