On the Origin of Gravity and the Laws of Newton

TL;DR

This paper derives Newton's law of gravitation and Einstein's equations from principles of emergent space and entropic forces, proposing gravity as an informational and thermodynamic phenomenon.

Contribution

It presents a novel derivation of gravitational laws from holographic and entropic principles, unifying gravity with thermodynamics and information theory.

Findings

Newton's law of gravitation arises naturally from emergent space concepts.

Relativistic generalization yields Einstein's equations.

Gravity is explained as an entropic force linked to information changes.

Abstract

Starting from first principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space is emergent through a holographic scenario. Gravity is explained as an entropic force caused by changes in the information associated with the positions of material bodies. A relativistic generalization of the presented arguments directly leads to the Einstein equations. When space is emergent even Newton's law of inertia needs to be explained. The equivalence principle leads us to conclude that it is actually this law of inertia whose origin is entropic.