Life and space dimensionality: A brief review of old and new entangled arguments

TL;DR

This paper reviews how anthropic and physical arguments relate to the dimensionality of space, discussing historical and new constraints, especially focusing on life, solar system stability, and invariance over large scales.

Contribution

It provides a comprehensive review of old and new arguments linking space dimensionality with life and physical stability, highlighting recent constraints on invariance over large scales.

Findings

Space dimensionality influences solar system stability.

Life constraints suggest a three-dimensional universe.

New invariance constraints on space dimensionality are proposed.

Abstract

A general sketch on how the problem of space dimensionality depends on anthropic arguments is presented. Several examples of how life has been used to constraint space dimensionality (and vice-versa) are reviewed. In particular, the influences of three-dimensionality in the solar system stability and the origin of life on Earth are discussed. New constraints on space dimensionality and on its invariance in very large spatial and temporal scales are also stressed.