Space and time from translation symmetry

TL;DR

This paper demonstrates that the concepts of space and time in algebraic quantum field theory emerge from translation symmetry under asymptotic commutativity, with potential applications to string theory.

Contribution

It introduces a novel approach where space and time are derived from translation symmetry, extending the framework to string theory.

Findings

Space and time arise from translation symmetry in algebraic quantum field theory.

Asymptotic commutativity is a key assumption for this construction.

Potential applicability of the approach to string theory.

Abstract

We show that the notions of space and time in algebraic quantum field theory arise from translation symmetry if we assume asymptotic commutativity. We argue that this construction can be applied to string theory.