On the equivalence principle and gravitational and inertial mass relation of classical charged particles

Abstract

We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of the electromagnetic radiation reaction force. It implies, as the strong Equivalence Principle is valid, that the passive gravitational mass of a charged point particle should be slight greater than its inertial mass. An interesting new feature that emerges from the unexpected behavior of the gravitational and inertial mass relation, for classical charged particles, at very strong gravitational field, is the existence of a critical, particle dependent, gravitational field value that signs the validity domain of the strong Equivalence Principle. For electron and proton, these critical field values are $g_c\simeq 4.8\times 10^{31}m/s^2$ and $g_c\simeq 8.8\times 10^{34}m/s^2$, respectively.

References in corpus (8)

• Hubble Space Telescope Spectroscopy of the Balmer lines in Sirius B
• Mass loss by a scalar charge in an expanding universe
• The Science Case for STEP
• Radiation reaction in quantum field theory
• Mass change and motion of a scalar charge in cosmological spacetimes
• On the equivalence principle and gravitational and inertial mass relation of classical charged particles
• Classical electrodynamics with vacuum polarization: electron self-energy and radiation reaction
• Dynamical response of the "GGG" rotor to test the Equivalence Principle: theory, simulation and experiment. Part I: the normal modes

Cited by in corpus (7)

• A new relativistic kinematics of accelerated systems
• Maximal acceleration or maximal accelerations?
• On the equivalence principle and gravitational and inertial mass relation of classical charged particles
• Galaxy rotation curve in hyperconical universes: a natural relativistic MOND
• The Higgs boson
• Spacetimes of maximal proper acceleration and muon mean lifetime
• On the Unruh effect for hyperbolic observers in spacetimes of maximal proper acceleration