Quantum matter characteristics from multiple Rindler observer formulation of general relativity

TL;DR

This paper explores how considering matter as a constraint on gravitational degrees of freedom and using Rindler horizon statistics can restrict quantum gravity theories, relate quantum constants to the Planck scale, and extend entropy concepts.

Contribution

It introduces a framework linking Rindler observer-based statistics with quantum gravity constraints and extends von Neumann entropy from matter to gravity.

Findings

Quantum gravity structure is restricted by quantum mechanics.

Predicts a fundamental quantum constant of gravity related to the Planck area.

Extends von Neumann entropy from matter to gravitational degrees of freedom.

Abstract

By considering matter as a constraint on the availability of gravitational degrees of freedom and accounting for the statistical interpretation of Rindler horizons, the freedom to construct quantum gravity theories reproducing General Relativity and Quantum Field Theory (QFT) as special cases is considerably reduced. On one hand, the mathematical structure of quantum gravity is restricted by the properties of Quantum Mechanics. On the other hand, one can predict a value for the fundamental quantum constant of gravity which is related to the Planck area via the Planck constant. These findings are compatible with spin-less particles of matter. In the context of canonical ensemble statistics, the von Neumann entropy concept is found to extend from matter to gravity. An important motivation and pillar for this development is the concept of multiple observer statistics and the total entropy perceived by Rindler observers with a particular spacing, which has a one-to-one correspondence to the Gibbons-Hawking-York boundary term.