The Cosmology of an Infinite Dimensional Universe

TL;DR

This paper explores the cosmological implications of an infinite-dimensional universe, deriving new equations and solutions that reveal unique behaviors as the number of dimensions approaches infinity.

Contribution

It introduces a novel method for formulating cosmological equations in arbitrary dimensions and analyzes the limit as the number of dimensions becomes infinite.

Findings

Analytic solutions depend explicitly on the number of dimensions N.

Emergent behaviors appear uniquely in the N→∞ limit.

Distinct features differentiate infinite-dimensional universes from traditional Kaluza-Klein models.

Abstract

We consider a universe with an arbitrary number of extra dimensions, $N$. We present a new method for constructing the cosmological equations of motion and find analytic solutions with an explicit dependence on $N$. When we take the $N\rightarrow\infty$ limit we find novel, emergent behaviour which distinguishes it from normal Kaluza-Klein universes.