Nuclear and Atomic Physics

2404 Submissions

[2] viXra:2404.0098 [pdf] replaced on 2024-06-06 11:15:43

A Proof of Fermat’s Last Theorem by Relating to Two Polynomial Identity Conditions

Authors: Tae Beom Lee
Comments: 3 Pages. Minor errors are corrected with readability improvement.

Fermat's Last Theorem(FLT) states that there is no natural number set {a,b,c,n} which satisfies a^n+b^n=c^n or a^n=c^n-b^n, when n≥3. In this thesis, we related LHS and RHS of a^n=c^n-b^n to the constant terms of two monic polynomials f(x)=x^n-a^n and g(x)=x^n-(c^n-b^n). By doing so, the conditions to satisfy the number identity, a^n=c^n-b^n, are transferred to the conditions to satisfy the polynomial identity, f(x)=g(x), which leads to a trivial solution, a=c,b=0, when n≥3.
Category: Nuclear and Atomic Physics

[1] viXra:2404.0035 [pdf] submitted on 2024-04-06 20:16:50

Geometric Hypothesis on the Shape of Matter

Authors: Hyunho Shin
Comments: 22 Pages. (Note by viXra Admin: Please cite and list scientific references!)

Assuming the Riemann Hypothesis serves as a mathematical explanation for physics, I have deduced the following two points: 1. If the Riemann Hypothesis originates from number theory and the mathematics describing matter is based on number theory, then matter must begin as a singularity. 2. The number π^2/6, derived from the Basel problem which initiated the Riemann Hypothesis, must be a numerical description of matter. Building on these two points, my hypothesis evolves to propose that all matter is composed of two-dimensional photons, existing throughout the universe as a medium. This material folds in a three-dimensional "Paper folding" manner to form protons and electrons.
Category: Nuclear and Atomic Physics