This math trick revolutionized physics

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Support the channel: https://ko-fi.com/jkzero Story of how Planck discovered the blackbody radiation formula and why he introduced energy quantization as a math trick Errata: 08:10 instead of Pringscheim should be Pringsheim, thanks to @petermarksteiner7754 for notifying this 14:40 after the integration there is an extra minus sign that should not be there, thanks @escandestone6001 for notifying this 20:22 second equation should be ε/(kT)=log(1+ε/U), thanks to @Galileosays for notifying this 23:52 "gasses" should be "gases," thanks to @skibelo for notifying this Videos: · Nuclear Weapons Q&A #1 https://youtu.be/AcwZ0cwxXOE · How to calculate an atomic bomb's critical mass https://youtu.be/DIuoFAW9H3E Papers: · On the Heat Radiation of Long Wave-Length Emitted by Black Bodies at Different Temperatures, Rubens & Kurlbaum https://adsabs.harvard.edu/pdf/1901ApJ....14..335R · Max Planck and the birth of the quantum hypothesis, M. Nauenberg https://pubs.aip.org/aapt/ajp/article-abstract/84/9/709/1057853/Max-Planck-and-the-birth-of-the-quantum-hypothesis Credits: Portraits of Scientists are all Public Domain from Wikimedia. Microprocessor by Intel Free Press under CC BY-SA 2.0 Deed https://creativecommons.org/licenses/by-sa/2.0/deed.en Max Planck in 1901 by Allgemeiner Deutscher Nachrichtendienst under CC BY-SA 3.0 DE Deed https://creativecommons.org/licenses/by-sa/3.0/de/deed.en Machine-in-display-at-a-museum by CityXcape on Pexels https://www.pexels.com/video/a-gigantic-machine-in-display-at-a-museum-5944023/ steam-train by Kelly on Pexels https://www.pexels.com/video/steam-train-running-5702028/ light-bulb by Free Videos on Pexels splashing-lava by Martin Sanchez on Pexels https://www.pexels.com/video/close-up-view-of-splashing-lava-during-a-volcano-eruption-13456698/ Person-forging-metal by Tima Miroshnichenko on Pixels https://www.pexels.com/video/person-forging-metal-5846389/ apparatus is used in measuring the total radiant energy from a blackbody https://repository.aip.org/islandora/object/nbla%3A295112 Night sky by Miriam Espacio on Pixels https://www.pexels.com/video/time-lapse-of-night-sky-1877846/ Sunset by Ella Gronewold on Pixels https://www.pexels.com/video/cloudy-sky-during-sunset-857039/ Physics Book by basykes under CC BY 2.0 Deed https://creativecommons.org/licenses/by/2.0/deed.en Rubens' tube by Georg Fuchs and MikeRun CC BY-SA 4.0 Deed https://creativecommons.org/licenses/by-sa/4.0/deed.en