David Chester - Butterfly in the Quantum World - Part 3 @QuantumGravityResearch

Uploaded September 2020 | Updated September 2026, 3 weeks ago

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David Chester is a research scientist at Quantum Gravity Research.

These series of lectures are a review of the book “Butterfly in the Quantum World: The story of the most fascinating quantum fractal” by Dr. Indubala Satija, a Professor at George Mason University. These lectures discuss the mathematical aspects of Hofstadter’s butterfly. This fractal describes the energy levels of electrons as a function of the magnetic field for a particular class of 2D lattices. Such a system has a mysterious connection to number theory and topology. Additionally, the butterfly relates to various fractal structures, including the Mandelbrot set, and relates to notions of universality found in a wide variety of physical systems.

You can find out more about David Chester here: quantumgravityresearch.org/david-chester

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$David Chester - Butterfly in the Quantum World - Part 3 Love our work? Help us continue our research by joining our giving circle. Even just $1/month helps us further our cause: https://quantumgravityresearch.givingcircles.io David Chester is a research scientist at Quantum Gravity Research. These series of lectures are a review of the book “Butterfly in the Quantum World: The story of the most fascinating quantum fractal” by Dr. Indubala Satija, a Professor at George Mason University. These lectures discuss the mathematical aspects of Hofstadter’s butterfly. This fractal describes the energy levels of electrons as a function of the magnetic field for a particular class of 2D lattices. Such a system has a mysterious connection to number theory and topology. Additionally, the butterfly relates to various fractal structures, including the Mandelbrot set, and relates to notions of universality found in a wide variety of physical systems. You can find out more about David Chester here: https://quantumgravityresearch.org/david-chester Love our work and want more content? Please support our mission, even $1/month helps: https://quantumgravityresearch.givingcircles.io VISIT THE QGR WEBSITE: http://www.quantumgravityresearch.org GET TO KNOW QGR’s RESEARCH SCIENTISTS: http://www.quantumgravityresearch.org/about-quantum READ OUR RESEARCH PAPERS & PRESENTATIONS: http://www.quantumgravityresearch.org/portfolio/all-papers QGR FACEBOOK: https://www.facebook.com/QuantumGravityResearch/ QGR TWITTER: https://twitter.com/emergencetheory?lang=en QGR INSTAGRAM: https://www.instagram.com/quantumgravityresearch/ KLEE IRWINS WEBSITE: http://www.kleeirwin.com/$

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