A Conformally Invariant Approach to Estimation of Relations Between Physical Quantities

TL;DR

This paper presents a conformally invariant method based on conformal geometrodynamics for estimating relations between physical quantities, offering insights into metastable states, particle lifetimes, and fundamental hypotheses.

Contribution

It introduces a conformally invariant approach to relate physical quantities, including nonperturbative calculations of metastable states and derivation of Dirac's large number hypothesis.

Findings

Nonperturbative calculation of metastable state lifetimes

Derivation of Dirac's large number hypothesis from the approach

Estimated radiation and neutron lifetimes

Abstract

A.V.Pushkin's approach based on conformal geometrodynamics (CGD) to calculation of quantitative relations between physical quantities is presented and analyzed. In the simplest cases of the stationary solutions to the CGD equations the approach implies separation of internal and external parts (relative to a certain boundary) from the solutions and using inverse transformations transforming the parts into each other. For the quasi-stationary (metastable) states, the possibility of the nonperturbative calculation of their lifetimes is shown. The approach is illustrated by several examples. In particular, it is shown that the Dirac ``large number hypothesis'' is a consequence of the approach. Also, the evaluated radiation lifetime of the first excited level of 2p hydrogen atom and neutron lifetime are presented.