Open Journal Systems

Fermat surfaces and hypercubes

Ramon Carbó-Dorca, Debraj Nath

Article ID: 2490
Vol 2, Issue 1, 2024

DOI: https://doi.org/10.54517/mss.v2i1.2490
VIEWS - 51 (Abstract)

Abstract

Fermat’s last theorem appears not as a unique property of natural numbers but as the bottom line of extended possible issues involving larger dimensions and powers when observed from a natural vector space viewpoint. The fabric of this general Fermat’s theorem structure consists of a well-defined set of vectors associated with dimensional vector spaces and the Minkowski norms one can define there. Here, a special vector set is studied and named a Fermat surface. Besides, a connection between Fermat surfaces and hypercubes is unveiled.

Keywords

Fermat surfaces; Fermat last theorem; whole vectors; perfect vectors; vector semispaces; Fermat vectors; unit shell; Fermat extended theorem; natural vector spaces; Minkowski norms

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