Newton's gravitation-force's classical average proof of a Verlinde's conjecture

TL;DR

This paper provides a classical proof for a second Verlinde-conjecture, showing that gravity transitions from its classical form and decays linearly at very large distances, expanding understanding of gravity's emergent properties.

Contribution

It offers a classical proof of a second Verlinde-conjecture, demonstrating gravity's linear decay at large distances, which was previously unproven.

Findings

Gravity departs from classical behavior at large distances.

Gravity begins to decay linearly with distance at very large scales.

Provides theoretical support for emergent gravity models.

Abstract

A surprising, gravity related Verlinde-conjecture, that generated immense interest, asserts that gravity is an emergent entropic force. We provided a classical proof of the assertion in [doi.org/j.physa.2018.03.019]. Here, we classically prove a related, second Verlinde-conjecture. This states that, at very large distances ($r_0$), gravity departs from its classical nature and begins to decay linearly with $r_0$.