The adventures of Spacetime

TL;DR

This paper explores how advances in physics suggest that spacetime's structure becomes more complex, highlighting the deep connection between physical theories and the mathematical study of space's geometry and topology.

Contribution

It discusses the evolving understanding of spacetime's structure driven by physics, emphasizing the interplay between physical theories and mathematical geometry and topology.

Findings

Spacetime's structure becomes richer with physical developments.

General Relativity links space, time, and the physical world.

Mathematics of geometry and topology informs spacetime theories.

Abstract

We discuss how developments in physics often imply in the need that spacetime acquires an increasingly richer and complex structure. General Relativity was the first theory to show us the way to connect space and time with the physical world. Since then, scrutinizing the ways spacetime might exist is, in a way, the very essence of physics. Physics has thus given substance to the pioneering work of scores of brilliant mathematicians who speculated on the geometry and topology of spaces.