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I was wondering if Fermat's Last Theorem can relate somehow to quantum numbers and energy spectrum in some theoretical system. Are there any examples for such systems?

And in general, Is there any use in physics for Fermat's Last Theorem?

Qmechanic
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Ziv Landau
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1 Answers1

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There are some connections between physics and the last Fermat theorem.

  1. The Shimura-Taniyama Conjecture and Conformal Field Theory

  2. How arithmetic geometry emerges from string theory Arithmetic Spacetime Geometry from String Theory

  3. L-functions and string theory Emergent spacetime from modular motives

  4. The ABC conjecture can be reformulated in terms of [brane tillings]. THis is relevant for the Last Fermat theorem because the ABC conjecture imply the Fermat-Wiles theorem(https://arxiv.org/abs/0803.4474)Yang-Mills Theory and the ABC Conjecture.