Radiation from Violently Accelerated Bodies

TL;DR

This paper investigates radiation from uniformly accelerated bodies, revealing an augmented Larmor formula, perfect fidelity in radiation measurement in expanding inertial frames, and an interference pattern akin to a Rindler double slit, unifying radiation and scattering in accelerated frames.

Contribution

It introduces an augmented Larmor formula for accelerated dipoles, demonstrates perfect radiation fidelity in expanding inertial frames, and describes a Rindler interferometer pattern, unifying concepts of radiation and scattering in accelerated frames.

Findings

Radiation rate follows augmented Larmor formula at high accelerations.

Radiation measured in expanding inertial frame is received with 100% fidelity.

Accelerating oscillators produce a Rindler interferometer pattern.

Abstract

A determination is made of the radiation emitted by a linearly uniformly accelerated uncharged dipole transmitter. It is found that, first of all, the radiation rate is given by the familiar Larmor formula, but it is augmented by an amount which becomes dominant for sufficiently high acceleration. For an accelerated dipole oscillator, the criterion is that the center of mass motion become relativistic within one oscillation period. The augmented formula and the measurements which it summarizes presuppose an expanding inertial observation frame. A static inertial reference frame will not do. Secondly, it is found that the radiation measured in the expanding inertial frame is received with 100% fidelity. There is no blueshift or redshift due to the accelerative motion of the transmitter. Finally, it is found that a pair of coherently radiating oscillators accelerating (into opposite directions) in their respective causally disjoint Rindler-coordinatized sectors produces an interference pattern in the expanding inertial frame. Like the pattern of a Young double slit interferometer, this Rindler interferometer pattern has a fringe spacing which is inversely proportional to the proper separation and the proper frequency of the accelerated sources. The interferometer, as well as the augmented Larmor formula, provide a unifying perspective. It joins adjacent Rindler-coordinatized neighborhoods into a single spacetime arena for scattering and radiation from accelerated bodies.