# Variation of rest mass scale in a gravitational field

## TL;DR

The paper proposes that the rest mass scale varies with gravitational potential due to changes in the Compton wavelength, linking it to gravitational redshift and suggesting an experiment to test this variation.

## Contribution

It introduces the idea that rest mass scale varies inversely with time scale in curved spacetime, connecting quantum scales with gravitational effects.

## Key findings

- Rest mass scale varies with gravitational potential.
- Proposes an experiment for MICROSCOPE satellite to test mass scale variation.
- Links quantum scale variation to gravitational redshift effects.

## Abstract

I argue that an angular momentum scale is necessary to explain energy-momentum propagation along a single null geodesic, the scale being known as Planck's constant $(h)$. If $h$ and $c$ (the velocity of light in vacuum), are considered to be given fundamental (constant) scales in local measurements, then the rest mass scale varies exactly inversely as the time scale varies in two different locally flat regions of a curved spacetime. As the time scale variation gives rise to gravitational redshift, the rest mass scale variation leads to a change in the Compton length scale associated with an elementary particle. I suggest an experiment for the MICROSCOPE satellite and report the expected outcome.