Physical Consequences of Mathematical Principles

TL;DR

This paper explores how fundamental mathematical principles like the variational principle, Poincare group representations, and Maxwell equations influence physical phenomena within special relativity, offering new insights and predictions.

Contribution

It introduces new theoretical results linking mathematical structures to physical consequences and predicts the non-detection of a genuine Higgs particle.

Findings

Predicted that a genuine Higgs particle will not be detected

Derived physical consequences from mathematical principles within special relativity

Compared theoretical results with experimental data

Abstract

Physical consequences are derived from the following mathematical structures: the variational principle, Wigner's classifications of the irreducible representations of the Poincare group and the duality invariance of the homogeneous Maxwell equations. The analysis is carried out within the validity domain of special relativity. Hierarchical relations between physical theories are used. Some new results are pointed out together with their comparison with experimental data. It is also predicted that a genuine Higgs particle will not be detected.