Maximal acceleration and radiative processes

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 ${\mathcal{A}}_m=2m{c}^3/\hslash$. 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.

Eight pages, three figures

References in corpus (5)

• Spin-2 particles in gravitational fields
• Spin-gravity coupling and gravity-induced quantum phases
• Optics of spin-1 particles from gravity-induced phases
• Covariance and gauge invariance in relativistic theories of gravity
• Gravitational Cherenkov Radiation from Extended Theories of Gravity

Cited by in corpus (5)

• Some consequences of theories with maximal acceleration in laser-plasma acceleration
• Classical and Quantum Aspects of Particle Propagation in External Gravitational Fields
• Atom-field dynamics in curved spacetime
• Structured objects in quantum gravity. The external field approximation
• A quantum description for charged fermions in strong gravitational field