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David Chester – Butterfly in the Quantum World – Part 4

Quantum Gravity Research | October 31, 2024



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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: https://quantumgravityresearch.org/david-chester

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Written by Quantum Gravity Research

Comments

This post currently has 7 comments.

  1. @MyTBrain

    October 31, 2024 at 1:54 am

    David Chester’s insights and ability to explain and connect the dots of the Hofstadter Butterfly to number theory/condensed matter is amazing. He makes this complex material far more accessible than it has any right to be👍👍
    Edit: when is his next lecture in the series?

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