A Gedankenexperiment in Gravitation

TL;DR

This paper examines a thought experiment involving gravity and photons, highlighting the necessity of tidal effects for physical consistency and reconsidering Einstein's equivalence principle, with implications for quantum gravity.

Contribution

It demonstrates the importance of tidal effects in gravitational thought experiments and proposes a reinterpretation of Einstein's equivalence principle in rotating frames.

Findings

Tidal effects are essential for consistent gravitational theories.

Linearly accelerated frames do not produce tidal effects.

A potential link between rotation, equivalence principle, and quantum gravity is suggested.

Abstract

In this paper we consider a thought experiment involving the effect of gravitation on an ideal scale containing a photon. If the tidal forces inherent to a gravitational field are neglected, then one is led to scenario which seems to bring about perpetual motion violating the first and second principle of thermodynamics. The tidal effects of gravity must neccessarily be included in order to obtain a consistent physical theory. As a result, Albert Einstein's thought experiments according to which the physical effects of inertia in an accelerated reference frame are equivalent to the effects of gravity in a frame at rest on the surface of a massive body must be reconsidered, since linearly accelerated frames do not produce tidal effects. We argue that the equivalence between inertial effects and gravitation can be restored for rotating frames and in this context a relation with the possible nature of quantum gravity is conjectured.