Constructing Spacetime from the String Worldsheet

TL;DR

This paper explores how spacetime geometry can be constructed from the Finslerian properties of strings and membranes, suggesting a classical link between microscopic string dynamics and macroscopic spacetime structure.

Contribution

It generalizes the concept of geometry from point particles to strings and membranes, proposing a classical framework for deriving spacetime from string worldsheet properties.

Findings

Classical arguments relate microscopic strings to macroscopic geometry.

Finslerian properties of strings can build up spacetime geometry.

Interpretation of the resulting geometry as microscopic spacetime.

Abstract

In a certain sense riemannian geometry can be thought of as geometry built up from the finslerian properties of point particles. The generalization of this to where the geometry is built up from the finslerian properties of string and membranes is investigated. Solely classical arguments suggest a physical interpretation in which microscopic strings are directly related to macroscopic geometry; alternatively the resulting geometry can be interpretated as that describing microsopic spacetime.