Some optical and dynamical phenomena in the Rindler model

TL;DR

This paper investigates optical and dynamical phenomena in Rindler's uniformly accelerated frame, revealing unexpected light ray behavior and its consistency with dynamical experiences of observers and gyroscopes.

Contribution

It provides a detailed analysis of optical illusions and dynamical effects in Rindler's model, challenging intuitive expectations and clarifying the behavior of light and forces in accelerated frames.

Findings

Light rays with transverse direction appear straight, not bent down.

A rod orthogonal to acceleration appears bent upwards.

Dynamical experiences align with optical observations and gyroscope behavior.

Abstract

In Rindler's model of a uniformly accelerated reference frame we analyze the apparent shape of rods and marked light rays for the case that the observers as well as the rods and the sources of light are at rest with respect to the Rindler observers. Contrary to the expectation suggested by the strong principle of equivalence, there is no apparent "bending down" of a light ray with direction transversal to the direction of acceleration, but a straight rod oriented orthogonal to the direction of acceleration appears bended "upwards". These optical phenomena are in accordance with the dynamical experience of observers guided by a straight track or a track curved in the same way as the marked light ray, respectively: While the former observer feels a centrifugal force directed "downwards", the centrifugal force for the latter vanishes. The properties of gyroscope transport along such tracks are correspondingly.