The Transition Amplitude for 2T Physics

TL;DR

This paper derives the transition amplitude for a particle in a space with two times and D dimensions, using BRST-BFV quantization, and shows how it reproduces known lower-dimensional systems, offering a new perspective on two times physics.

Contribution

It introduces a unified framework for two times physics using BRST-BFV quantization and demonstrates how lower-dimensional systems emerge from specific hypersurface constraints.

Findings

Transition amplitude derived for 2T physics.

Lower-dimensional systems recovered from hypersurface constraints.

Provides an alternative interpretation of two times physics.

Abstract

We present the transition amplitude for a particle moving in a space with two times and D space dimensions having a Sp(2,R) local symmetry and an SO(D,2) rigid symmetry. It was obtained from the BRST-BFV quantization with a unique gauge choice. We show that by constraining the initial and final points of this amplitude to lie on some hypersurface of the D+2 space the resulting amplitude reproduces well known systems in lower dimensions. This provides an alternative physical interpretation for two times physics which is derived in a single framework.