Implications of maximum acceleration on dynamics

TL;DR

This paper explores how the maximum acceleration limit influences gravitational laws, deriving modifications to Newtonian gravity, the Poisson equation, and cosmological equations based on the corrected Unruh temperature and entropic force perspective.

Contribution

It introduces a novel approach linking maximum acceleration to gravity modifications, extending classical equations with new theoretical insights.

Findings

Derived modified Newton's law of gravity.

Proposed corrections to the Poisson equation.

Suggested alterations to Friedmann equations in cosmology.

Abstract

Considering the corrected Unruh temperature as well as the entropic force perspective of gravity, we are able to derive the modification of the Newton's law of gravity. In addition, we also investigate the effects of the highest achievable acceleration correction to the Unruh temperature on the Poisson equation. Moreover, we address modifications to the Newtonian cosmology as well as the Friedmann equations corresponding to the upper bound for acceleration.