On the Fermat's Last Theorem and the Dirac equation
Mart\'in Arteaga
TL;DR
This paper explores a novel approach to Fermat's Last Theorem by extending Dirac's method of taking square roots, aiming to provide new insights into the theorem's validity.
Contribution
It introduces a non-formal mathematical generalization of Dirac's square root procedure to analyze Fermat's Last Theorem.
Findings
Proposes a new mathematical framework for FLT analysis
Links Dirac's methods to number theory problems
Provides preliminary insights into FLT validity
Abstract
In the present paper we study, in a mathematically non-formal way, the validity of the Fermat's Last Theorem (FLT) by generalizing the usual procedure of extracting the square root of non convenient objects initially introduced by P. A. M. Dirac in the study of the linear relativistic wave equation.
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Taxonomy
TopicsRelativity and Gravitational Theory · History and Theory of Mathematics · Geophysics and Sensor Technology