Space-time Uncertainty Principle from Breakdown of Topological Symmetry

TL;DR

This paper derives a space-time uncertainty relation from topological quantum field theory, proposing that topological symmetry breakdown in matrix models underpins the space-time uncertainty principle in string theory.

Contribution

It introduces a novel derivation of the space-time uncertainty principle from topological symmetry breakdown in large N matrix models, linking topological symmetry to string theory.

Findings

Derived space-time uncertainty relation from topological quantum field theory.

Linked topological symmetry breakdown to the space-time uncertainty principle.

Suggested topological symmetry as an underlying higher symmetry in string theory.

Abstract

Starting from topological quantum field theory, we derive space-time uncertainty relation with respect to the time interval and the spatial length proposed by Yoneya through breakdown of topological symmetry in the large N matrix model. This work suggests that the topological symmetry might be an underlying higher symmetry behind the space-time uncertainty principle of string theory.