David Chester – Butterfly in the Quantum World – Part 1
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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.
This lecture also includes QGR watching Veritasium’s video “This equation will change how you see the world (the logistic map)”. You can find that video here: https://www.youtube.com/watch?v=ovJcsL7vyrk
You can find out more about David Chester here: https://quantumgravityresearch.org/david-chester
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