The origin of a bizarre quantum phenomenon

Video Description

Buy me a coffee and support the channel: https://ko-fi.com/jkzero In this journey towards Heisenberg's matrix formulation of quantum mechanics, here I present the origin of zero-point energy, one of the most bizarre predictions of quantum theory. Also known as vacuum energy, zero-point energy is a consequence of Heisenberg's uncertainty principle; however, its origin is a wrong theory and a wrong plot. Erratum: at 8:48 instead of "ln(1-p)^n" it should say "ln [p(1-p)^n]." This is just a typo, the rest of the calculation is correct. Thanks to @Miguel_Noether, @charlottedarroch and @martindimov3494 for reporting this. [Related videos] ∘ This math trick revolutionized physics https://youtu.be/gXeAp_lyj9s ∘ This effect confirmed light particles https://youtu.be/Ap9os356CZA ∘ The Birth of Quantum Physics https://www.youtube.com/watch?v=WNHn6GoMaac ∘ How Niels Bohr created the quantum atom https://youtu.be/xINR4MoqYVc ∘ Sommerfeld and the fine structure of the atom https://youtu.be/H4ZnVpiQTDw ∘ This is how the wave-particle duality of light was discovered https://youtu.be/f7JvywBOGYY ∘ This experiment confirmed quantum physics (Stern-Gerlach experiment) https://youtu.be/BDAzFIJu9_E ∘ Playlist Heisenberg's Matrix Mechanics https://www.youtube.com/playlist?list=PL_UV-wQj1lvXuBvDHjqhnReMHoqgR8nQi ∘ Playlist video series on Quantum Physics https://www.youtube.com/playlist?list=PL_UV-wQj1lvVxch-RPQIUOHX88eeNGzVH [References] ∘ M. Planck, "Ueber eine Verbesserung der Wienschen Spectralgleichung," Verh. Dtsch. Phys. Ges. 2:202 (1900) ∘ M. Planck, "Eine neue Strahlungshypothese," Verh. Dtsch. Phys. Ges. 13:138 (1911) ∘ M. Planck, "Über die Begründung des Gesetzes der schwarzen Strahlung," Ann. Phys. 37 (4): 642 (1912) ∘ M. Planck, "Loi du Rayonnement Noir," Proceedings of the First Solvay Conference in Physics, p.93 (1912) ∘ H. S. Kragh and J. M. Overduin, "The Weight of the Vacuum," SpringerBriefs in Physics (2014) ∘ A. Einstein and O. Stern, "Einige Argumente für die Annahme einer molekularen Agitation beim absoluten Nullpunkt," Ann. Phys. 40 551 (1913) ∘ A. Eucken, "Die Molekularwärme des Wasserstoffs bei tiefen Temperaturen," Verh. Dtsch. Phys. Ges., Nr. 4:141 (1912) ∘ P. Ehrenfest, "Bemerkung betreffs der spezifischen Wärme zweiatoniger Gase," Verh. Dtsch. Phys. Ges. 15, 451 (1913) ∘ D. M. Dennison, "The Rotation of Molecules," Phys. Rev. 28, 318 (1925) ∘ C. A . Gearhart, "Astonishing Successes and Bitter Disappointment: The Specific Heat of Hydrogen in Quantum Theory," Arch. Hist. Exact Sci. 64:113 (2010) ∘ R. S. Mulliken, "The Band Spectrum of Boron Monoxide," Nature 114, 349 (1924) ∘ R. S. Mulliken, "The Isotope Effect in Band Spectra, II: The Spectrum of Boron Monoxide," Phys. Rev. 25, 259 (1925) ∘ D. C. Cassidy, "Heisenberg's First Core Model of the Atom: The Formation of a Professional Style," Hist. Stud. Phys. Sci. 10:187 (1979) [Credits] Max Planck by G.G. Bain, public domain Thermally agitated molecule, no author under CC BY-SA 3.0 OAM vs angle states animation by JozumBjada under CC BY-SA 4.0 Deutsche Physikalische Gesellschaft (DPG) Second Solvay Conference (1913) by Institut International de Physique Solvay, public domain Molecule motion by Mbrzeczek under CC BY-SA 4.0 Walther Nernst, public domain Arnold Eucken, public domain Werner Heisenberg by AIP Bohr's letter requesting funding for Heisenberg, RE:source, Rockefeller Archive Center https://resource.rockarch.org/story/the-international-education-board-1923-1938/ Hummerbuden Helgoland by Dionysos1970 under CC BY-SA 4.0 Helgoland in 1945, San Diego Air and Space Museum AIP: American Institute of Physics, Emilio Segrè Visual Archives CC BY-SA 4.0 https://creativecommons.org/licenses/by-sa/4.0/deed.en