Abstract

We see the whole universe as a collection of very simple binary physical systems. With this assumption, we put forward a detailed model of discrete spaces. Our own universe with its four dimensions, shared between one time-like dimension and three space-like dimensions, as well as the Minkowski metrics, are emerging properties of the model.

Highlights

  • The natural phenomena are usually described in the framework of a four-dimensional space

  • The model that we propose here rests on three statements that we cannot reject without jeopardizing physics itself

  • As a matter of fact, since nothing else besides information is available on the nature of the universe, at least for materialist philosophers, one can assume that information itself constitutes the fabrics of the physical world

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Summary

A Model of Discrete Universe

The natural phenomena are usually described in the framework of a four-dimensional space This space has three equivalent space-like components, one time-like component and it is equipped with a Minkowski metrics. If one considers that the general purpose of physics is to build theories that account for numerical experimental data, the construction of a theory of space-time is a necessity. We even want the quantum or relativistic theories not to be prerequisites but to be consequences of the structure of space itself and to have no ontological status. The model that we propose here rests on three statements that we cannot reject without jeopardizing physics itself. We consider these three statements and their mathematical formalizations in turn.

The Universe Does Exist
The Universe Is Not Disordered
The Universe Is Not Frozen
Topological Properties
Statistical Properties
World Points Internal Spaces
Gauge Symmetry Invariance
The Possible States of the Universe
Derivatives in Discrete Spaces
Klein-Gordon Equation
Discussion and Conclusions
Full Text
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