Born Reciprocity in String Theory and the Nature of Spacetime

TL;DR

This paper introduces a novel perspective on string theory by incorporating Born reciprocity, suggesting spacetime as a derived concept within a dynamical phase space framework and proposing a new geometric structure called Born geometry.

Contribution

It presents a phase space formulation of string theory with Born reciprocity, generalizing T-duality and introducing Born geometry as a new geometric framework.

Findings

Spacetime is viewed as a derived dynamical concept.

Born reciprocity is implemented as a choice of Lagrangian submanifold.

Introduction of Born geometry, a new geometric structure.

Abstract

After many years, the deep nature of spacetime in string theory remains an enigma. In this letter we incorporate the concept of Born reciprocity in order to provide a new point of view on string theory in which spacetime is a derived dynamical concept. This viewpoint may be thought of as a dynamical chiral phase space formulation of string theory, in which Born reciprocity is implemented as a choice of a Lagrangian submanifold of the phase space, and amounts to a generalization of T-duality. In this approach the fundamental symmetry of string theory contains phase space diffeomorphism invariance and the underlying string geometry should be understood in terms of dynamical bi-Lagrangian manifolds and an apparently new geometric structure, somewhat reminiscent of para-quaternionic geometry, which we call Born geometry.