TITLE:
Dimensional Analysis for Relativistic and Quantum Outcomes
AUTHORS:
Sebastiano Tosto
KEYWORDS:
Relativity, Quantum Physics
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.7,
July
26,
2023
ABSTRACT: The paper highlights the concept of dimensional analysis of dynamical variables to infer quantum and relativistic information. The mathematical model implements not only single dynamical variables, but also their appropriate combinations; this chance is the added value to infer physical information. The postulates of relativity are found as corollaries in this conceptual frame. In particular even the statistical formulation of the quantum uncertainty, which has been proven valuable source of physical information itself, is obtained as a straightforward corollary along with the wave equation and the relativistic invariants. It is shown in the paper how to infer information on the nature of black holes and dark matter.