Towards an information description of space-time

TL;DR

This paper proposes a novel informational framework for describing space-time geometry, linking entropy conservation with fundamental physical principles and deriving special relativity from informational postulates.

Contribution

It introduces an informational approach to space-time, connecting entropy conservation with the speed of information and deriving special relativity from information-based principles.

Findings

Speed of light as information velocity

Universe's gravitational potential related to information

Derivation of special relativity from informational postulates

Abstract

We attempt to describe geometry in terms of informational quantities for the universe considered as a finite ensemble of correlated quantum particles. As the main dynamical principle, we use the conservation of the sum of all kinds of entropies: thermodynamic, quantum and informational. The fundamental constant of speed is interpreted as the information velocity for the world ensemble and also connected with the gravitational potential of the universe on a particle. The two postulates, which are enough to derive the whole theory of Special Relativity, are re-formulated as the principles of information entropy universality and finiteness of information density.