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#quantummechanics

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Inkican<p>Quantum theory goes BRRRRR</p><p><a href="https://www.earth.com/news/dark-photon-theory-casts-doubt-on-double-slit-experiment-quantum-light-interference-pattern/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">earth.com/news/dark-photon-the</span><span class="invisible">ory-casts-doubt-on-double-slit-experiment-quantum-light-interference-pattern/</span></a></p><p><a href="https://mastodon.social/tags/quantum" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantum</span></a> <a href="https://mastodon.social/tags/quantumphysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantumphysics</span></a> <a href="https://mastodon.social/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mastodon.social/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://mastodon.social/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a> <a href="https://mastodon.social/tags/astrophysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>astrophysics</span></a></p>
zerology<p>The German Physical Society has a project called "Quantum History Wall", where you can read about, well, the history of quantum mechanics (on the occasion of 100 years of qm).<br>Looks great! (I only started reading.)</p><p><a href="https://www.quantum-history.de/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">quantum-history.de/</span><span class="invisible"></span></a></p><p><a href="https://bayes.club/tags/quantum" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantum</span></a> <a href="https://bayes.club/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://bayes.club/tags/QuantumMechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumMechanics</span></a> <a href="https://bayes.club/tags/history" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>history</span></a></p>
Max-Planck-Gesellschaft<p>Celebrate the 100th anniversary of <a href="https://wisskomm.social/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a> and today's International Day of <a href="https://wisskomm.social/tags/Light" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Light</span></a> with us! There will be an extensive programme at various Max Planck Institutes.⬇️ <a href="https://wisskomm.social/tags/lightday2025" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>lightday2025</span></a></p>
Lazarou Monkey Terror 🚀💙🌈<p>*Michael Caine voice: "The problem...is Gravity"</p><p>Somewhere among all this is the Space Drive that will take us to the Planets, and then the Stars, ....maybe. </p><p><a href="https://phys.org/news/2025-05-reciprocity-photon-polarization-gravity-quantum.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">phys.org/news/2025-05-reciproc</span><span class="invisible">ity-photon-polarization-gravity-quantum.html</span></a></p><p><a href="https://mastodon.social/tags/Gravity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Gravity</span></a> <a href="https://mastodon.social/tags/QuantumMechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumMechanics</span></a> <a href="https://mastodon.social/tags/Space" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Space</span></a> <a href="https://mastodon.social/tags/Interstellar" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Interstellar</span></a></p>
Margherita<p>For anyone in the Fediverse who might be interested in <a href="https://pan.rent/tags/philosophy" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>philosophy</span></a> of <a href="https://pan.rent/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a>, I’m excited to share this <a href="https://pan.rent/tags/workshop" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>workshop</span></a> I’ve been organising with some friends, on metaphysical and epistemological problems in <a href="https://pan.rent/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a>. Some very cool speakers will join us for interesting discussions, on the 28th of June at <a href="https://pan.rent/tags/usi" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>usi</span></a> in <a href="https://pan.rent/tags/lugano" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>lugano</span></a> </p><p><a href="https://www.usi.ch/en/feeds/31385" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">usi.ch/en/feeds/31385</span><span class="invisible"></span></a></p>
Bytes Europe<p>Scientists say our consciousness may actually be altering reality <a href="https://www.byteseu.com/961625/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="">byteseu.com/961625/</span><span class="invisible"></span></a> <a href="https://pubeurope.com/tags/QuantumMechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumMechanics</span></a> <a href="https://pubeurope.com/tags/Research" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Research</span></a> <a href="https://pubeurope.com/tags/Science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Science</span></a></p>
Project Gutenberg<p><a href="https://mastodon.social/tags/OTD" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>OTD</span></a> in 1914.</p><p>The Franck–Hertz experiment, the first electrical measurement to clearly demonstrate the quantum nature of atoms, was presented to the German Physical Society.</p><p>Their experimental results proved to be consistent with the Bohr model for atoms that had been proposed the previous year by Niels Bohr.</p><p><a href="https://en.wikipedia.org/wiki/Franck%E2%80%93Hertz_experiment" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">en.wikipedia.org/wiki/Franck%E</span><span class="invisible">2%80%93Hertz_experiment</span></a></p><p>Niels Bohr at PG:<br><a href="https://www.gutenberg.org/ebooks/author/44167" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">gutenberg.org/ebooks/author/44</span><span class="invisible">167</span></a></p><p><a href="https://mastodon.social/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://mastodon.social/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mastodon.social/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a></p>
Andrew J. Steinmetz<p>Abrikosov vortices (fluxons) are quantum of magnetic flux (Φ~hc/e) which appear in type-II superconductors (SC) induced by persistent current loops. Fluxons allow magnetic fields to penetrate a type-II SC causing magnetic pinning. 🧪⚛️ <a class="hashtag" href="https://bsky.app/search?q=%23Science" rel="nofollow noopener" target="_blank">#Science</a> <a class="hashtag" href="https://bsky.app/search?q=%23Physics" rel="nofollow noopener" target="_blank">#Physics</a> <a class="hashtag" href="https://bsky.app/search?q=%23QuantumMechanics" rel="nofollow noopener" target="_blank">#QuantumMechanics</a> See: <a href="https://doi.org/10.1038/srep08677" rel="nofollow noopener" target="_blank">doi.org/10.1038/srep...</a></p>
Project Gutenberg<p>January 1928: The Dirac equation unifies quantum mechanics and special relativity</p><p>A seminal paper by Paul Dirac, who relied on mathematical intuition, laid the foundation for quantum electrodynamics.</p><p>By Nyla Husain (from the archives)</p><p><a href="https://www.aps.org/apsnews/2024/11/mathematical-intuition-dirac-quantum-mechanics" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">aps.org/apsnews/2024/11/mathem</span><span class="invisible">atical-intuition-dirac-quantum-mechanics</span></a></p><p><a href="https://mastodon.social/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://mastodon.social/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mastodon.social/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a> <a href="https://mastodon.social/tags/relativity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>relativity</span></a></p>
Ele Willoughby, PhD<p>a jumble of Feynman diagrams and coloured shapes with a Bauhaus feel.</p><p><a href="https://spore.social/tags/linocut" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>linocut</span></a> <a href="https://spore.social/tags/printmaking" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>printmaking</span></a> <a href="https://spore.social/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://spore.social/tags/Bauhaus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Bauhaus</span></a> <a href="https://spore.social/tags/quantumMechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantumMechanics</span></a> <a href="https://spore.social/tags/FeynmanDiagram" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>FeynmanDiagram</span></a> <a href="https://spore.social/tags/penguinDiagram" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>penguinDiagram</span></a> <a href="https://spore.social/tags/particlePhysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>particlePhysics</span></a> <a href="https://spore.social/tags/sciart" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>sciart</span></a> <a href="https://spore.social/tags/WorldQuantumDay" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>WorldQuantumDay</span></a></p><p>*I am somewhat dubious of this date because a) I was trained to use the metric convention day/month/year and b) physicists use the reduced constant h-bar (that’s h divided by 2 pi) and then, cause it’s easier they just change units such that h-bar = 1 but it’s as good an excuse as any</p><p>🧵3/3</p>
Andrew J. Steinmetz<p>This picture demonstrating the utility of ladder operators for the quantum harmonic oscillator in Griffith's book is just absolutely charming. ⚛️🧪 <a class="hashtag" href="https://bsky.app/search?q=%23Science" rel="nofollow noopener" target="_blank">#Science</a> <a class="hashtag" href="https://bsky.app/search?q=%23Physics" rel="nofollow noopener" target="_blank">#Physics</a> <a class="hashtag" href="https://bsky.app/search?q=%23EduSky" rel="nofollow noopener" target="_blank">#EduSky</a> <a class="hashtag" href="https://bsky.app/search?q=%23QuantumMechanics" rel="nofollow noopener" target="_blank">#QuantumMechanics</a></p>
rexi<p><a href="https://phys.org/news/2025-03-physicist-revisits-limits-life-schrdinger.html" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">phys.org/news/2025-03-physicis</span><span class="invisible">t-revisits-limits-life-schrdinger.html</span></a></p><p>"This work connects the dots among the great pillars of twentieth century <a href="https://mastodon.social/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mastodon.social/tags/thermodynamics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>thermodynamics</span></a>, <a href="https://mastodon.social/tags/relativity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>relativity</span></a>, and <a href="https://mastodon.social/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a>—for a major paradigm shift…implications of quantum information processing in wetware at ambient temperatures," said Kurian.</p><p>"Physicists and cosmologists should wrestle with these findings, especially as they consider the origins of life on Earth and elsewhere in the habitable universe, evolving in concert with the electromagnetic field."</p>
j_bertolotti<p><a href="https://mathstodon.xyz/tags/PhysicsFactlet" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PhysicsFactlet</span></a> <br>I had to redo an old animation about quantum tunnelling in the time domain, so why not post it here?<br><a href="https://mathstodon.xyz/tags/QuantumMechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumMechanics</span></a> <a href="https://mathstodon.xyz/tags/ITeachPhysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITeachPhysics</span></a></p><p>A few details:<br>* The incident and reflected waves interfere, creating fringes in the wavefunction modulus when it hits the barrier.<br>* Even when far away from the barrier, the wavefunction of the "free" particle is slowly broadening.</p>
Jacky Kapadia<p>Entangled Whispers: Sensing Gravity's Quantum Dance</p><p>Unlocking the Secrets of the Universe, One Quantum Step at a Time.</p><p><a href="https://open.substack.com/pub/influencer1986/p/entangled-whispers-sensing-gravitys?r=37m0cf&amp;utm_campaign=post&amp;utm_medium=web&amp;showWelcomeOnShare=false" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">open.substack.com/pub/influenc</span><span class="invisible">er1986/p/entangled-whispers-sensing-gravitys?r=37m0cf&amp;utm_campaign=post&amp;utm_medium=web&amp;showWelcomeOnShare=false</span></a></p><p><a href="https://flipboard.social/tags/QuantumEntanglement" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumEntanglement</span></a>, <a href="https://flipboard.social/tags/Gravity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Gravity</span></a>, <a href="https://flipboard.social/tags/QuantumGravity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumGravity</span></a>, <a href="https://flipboard.social/tags/Spacetime" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Spacetime</span></a>, <a href="https://flipboard.social/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Physics</span></a>, <a href="https://flipboard.social/tags/QuantumMechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumMechanics</span></a>, <a href="https://flipboard.social/tags/GeneralRelativity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GeneralRelativity</span></a>, <a href="https://flipboard.social/tags/HolographicPrinciple" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>HolographicPrinciple</span></a>, <a href="https://flipboard.social/tags/QuantumSensing" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumSensing</span></a>, <a href="https://flipboard.social/tags/BlackHoles" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>BlackHoles</span></a>, <a href="https://flipboard.social/tags/Cosmology" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Cosmology</span></a>, <a href="https://flipboard.social/tags/TheoreticalPhysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>TheoreticalPhysics</span></a>, <a href="https://flipboard.social/tags/QuantumPhysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumPhysics</span></a>, <a href="https://flipboard.social/tags/Science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Science</span></a>, <a href="https://flipboard.social/tags/Universe" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Universe</span></a>, <a href="https://flipboard.social/tags/Entanglement" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Entanglement</span></a>, <a href="https://flipboard.social/tags/QuantumDance" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumDance</span></a>, <a href="https://flipboard.social/tags/GravityWaves" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>GravityWaves</span></a>, <a href="https://flipboard.social/tags/QuantumTechnology" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumTechnology</span></a>, <a href="https://flipboard.social/tags/CosmicMysteries" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>CosmicMysteries</span></a></p>
rexi<p>(Second issue was *not* delayed by federal firings, but it might as well have been. Intentionally confusing and vague wording is my way of pointing to the disinformation fog machine at the head of world's biggest <a href="https://mastodon.social/tags/research" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>research</span></a> funder.)</p><p>This month's imaginary cover highlights Bianconi's new bombshell in Physical Review D, which proposes a new framework that could revolutionize our understanding of <a href="https://mastodon.social/tags/gravity" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>gravity</span></a> and its relationship with <a href="https://mastodon.social/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a>.</p><p><a href="https://mastodon.social/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://mastodon.social/tags/ScienceUnderground" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ScienceUnderground</span></a></p>

#Helgoland2025

Please share: If you are interested in the foundations of Quantum Mechanics, there are now again a few slots open in our upcoming conference on the island of Helgoland, in June 2025. Celebrating 100 years of Quantum Mechanics!

General information: helgoland2025.yalepages.org/
Direct to registration: indico.mpl.mpg.de/event/17/reg

This conference has an illustrious list of speakers and panelists, including people like Alain Aspect, Anton Zeilinger, John Clauser, Serge Haroche, David Wineland, Michelle Simmons, and many many others.

@MPI_ScienceOfLight
@maxplanckgesellschaft
#Yale

Project Gutenberg<p>How Hans Bethe Stumbled Upon Perfect Quantum Theories</p><p>Quantum calculations amount to sophisticated estimates. But in 1931, Hans Bethe intuited precisely how a chain of particles would behave — an insight that had far-reaching consequences.</p><p>By Matt von Rippel</p><p><a href="https://www.quantamagazine.org/how-hans-bethe-stumbled-upon-perfect-quantum-theories-20250212/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://www.</span><span class="ellipsis">quantamagazine.org/how-hans-be</span><span class="invisible">the-stumbled-upon-perfect-quantum-theories-20250212/</span></a></p><p>More information about Hans Bethe:<br><a href="https://en.wikipedia.org/wiki/Hans_Bethe" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">en.wikipedia.org/wiki/Hans_Bet</span><span class="invisible">he</span></a></p><p><a href="https://mastodon.social/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://mastodon.social/tags/physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>physics</span></a> <a href="https://mastodon.social/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a></p>
IT News<p>Shedding Light on Quantum Measurement with Calcite - Have you ever struggled with the concept of quantum measurement, feeling it’s unne... - <a href="https://hackaday.com/2025/01/26/shedding-light-on-quantum-measurement-with-calcite/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">hackaday.com/2025/01/26/sheddi</span><span class="invisible">ng-light-on-quantum-measurement-with-calcite/</span></a> <a href="https://schleuss.online/tags/quantummeasurement" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummeasurement</span></a> <a href="https://schleuss.online/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a> <a href="https://schleuss.online/tags/entanglement" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>entanglement</span></a> <a href="https://schleuss.online/tags/laserhacks" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>laserhacks</span></a> <a href="https://schleuss.online/tags/homehacks" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>homehacks</span></a> <a href="https://schleuss.online/tags/science" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>science</span></a> <a href="https://schleuss.online/tags/calcite" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>calcite</span></a> <a href="https://schleuss.online/tags/photons" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>photons</span></a> <a href="https://schleuss.online/tags/optics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>optics</span></a> <a href="https://schleuss.online/tags/light" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>light</span></a> <a href="https://schleuss.online/tags/news" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>news</span></a></p>
j_bertolotti<p><a href="https://mathstodon.xyz/tags/PhysicsJournalClub" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>PhysicsJournalClub</span></a><br>"Testing the necessity of complex numbers in traditional quantum theory with quantum computers"<br>by Jarrett L. Lancaster and Nicholas M. Palladino<br>Am. J. Phys. 93, 110 (2025)</p><p>In classical electrodynamics the use of complex numbers is only due to to its convenience for calculations. Nobody wants to remember all those pesky trigonometric identities, so we use complex numbers to simplify calculations and take the real part at the end. You need to be a bit careful when calculating stuff like the Poynting vector, but this is well addressed ion any half-decent undergrad-level textbook.<br>But for quantum mechanics the problem is less obvious. On one hand we only ever measure real quantities, but on the other hand the imaginary unit appears explicitly in the Schrödinger equation, and no textbook I am aware of ever even mention the possibility that quantum numbers might be just a calculation convenience like it is in classical electrodynamics.<br>The question is subtle enough that you are going to find no shortage of well-read Physicists claiming that it is "obvious" that complex numbers are necessary for quantum mechanics, or that it is "obvious" that you could just use real numbers if you wanted.<br>This paper makes a pretty good job at explaining the problem, going through some of the history and explicit calculations, up to constructing explicitly a real-valued version of QM.<br>The second part, where they make an "experiment" on a IBM cloud quantum computer is (imho) less interesting, and their conclusion that you need indeed complex numbers not really supported by the evidence, but your mileage might vary 🙂 <br><a href="https://pubs.aip.org/aapt/ajp/article/93/1/110/3327097/Testing-the-necessity-of-complex-numbers-in" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">pubs.aip.org/aapt/ajp/article/</span><span class="invisible">93/1/110/3327097/Testing-the-necessity-of-complex-numbers-in</span></a></p><p><a href="https://mathstodon.xyz/tags/Physics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Physics</span></a> <a href="https://mathstodon.xyz/tags/QuantumMechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>QuantumMechanics</span></a> <a href="https://mathstodon.xyz/tags/ITeachPhysics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>ITeachPhysics</span></a></p>
disma<p>Still looking for a ticket to <a href="https://mastodon.social/tags/38C3" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>38C3</span></a> . Still hope to find someone at <a href="https://mastodon.social/tags/38c3" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>38c3</span></a> into <a href="https://mastodon.social/tags/gaming" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>gaming</span></a> , <a href="https://mastodon.social/tags/reverseengineering" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>reverseengineering</span></a> and <a href="https://mastodon.social/tags/quantummechanics" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>quantummechanics</span></a> (combined).<br><a href="https://mastodon.social/tags/38c3tickets" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>38c3tickets</span></a></p>