Noncommutative Two Time Physics

TL;DR

This paper develops a classical formalism for two-time physics incorporating Abelian gauge fields, laying the groundwork for future quantized theories in noncommutative spacetime.

Contribution

It introduces a novel classical framework for two-time physics with gauge backgrounds, facilitating the development of interacting quantum theories in noncommutative spacetime.

Findings

Formalism describes two-time physics with Abelian gauge fields

Provides basis for quantized noncommutative two-time physics

Lays groundwork for future interacting quantum theories

Abstract

We present a classical formalism describing two-time physics with Abelian canonical gauge field backgrounds. The formalism can be used as a starting point for the construction of an interacting quantized two-time physics theory in a noncommutative soace-time.