Exceptional Lie Algebras at the very Foundations of Space and Time

TL;DR

This paper explores how exceptional Lie and Jordan algebras relate to elementary particles and spacetime, proposing that these structures could inspire new fundamental physics beyond current theories.

Contribution

It introduces a novel perspective on the role of exceptional Lie algebras in understanding the foundations of space, time, and particle physics.

Findings

Exceptional Lie algebras are closely linked to elementary particles.

Algebraic structures can inspire new approaches to fundamental physics.

Potential for new theories beyond current models.

Abstract

While describing the results of our recent work on exceptional Lie and Jordan algebras, so tightly intertwined in their connection with elementary particles, we will try to stimulate a critical discussion on the nature of spacetime and indicate how these algebraic structures can inspire a new way of going beyond the current knowledge of fundamental physics.