Maximal acceleration and radiative processes

TL;DR

This paper explores the radiation emitted by an accelerated charged particle within a model imposing a maximum proper acceleration, revealing two distinct power laws and potential methods to differentiate inertial from gravitational effects.

Contribution

It introduces a novel analysis of radiation characteristics under a maximal acceleration constraint, deriving two power laws and discussing their implications for distinguishing inertial and gravitational fields.

Findings

Two power laws for radiation at different acceleration regimes

Potential to distinguish inertial from gravitational fields using charged particles

Discussion of geometrical constraints and power spectra

Abstract

We derive the radiation characteristics of an accelerated, charged particle in a model due to Caianiello in which the proper acceleration of a particle of mass $m$ has the upper limit $\mathcal{A}_m=2mc^3/\hbar$. We find two power laws, one applicable to lower accelerations, the other more suitable for accelerations closer to $\mathcal{A}_m$ and to the related physical singularity in the Ricci scalar. Geometrical constraints and power spectra are also discussed. By comparing the power laws due to the maximal acceleration with that for particles in gravitational fields, we find that the model of Caianiello allows, in principle, the use of charged particles as tools to distinguish inertial from gravitational fields locally.