Classical field theory via Cohesive homotopy types

TL;DR

This paper explores how classical field theory can be formulated within the framework of cohesive homotopy type theory, providing a synthetic and conceptual perspective.

Contribution

It introduces a synthetic approach to classical field theory using cohesive homotopy type theory, bridging physics and higher category theory.

Findings

Classical field theory can be modeled in cohesive homotopy type theory

Provides a synthetic, conceptual framework for field theories

Connects homotopy type theory with physical theories

Abstract

A brief survey of how classical field theory emerges synthetically in cohesive homotopy type theory. Extended Conference Abstract submitted to the proceedings of the Conference on Type Theory, Homotopy Theory and Univalent Foundations in Barcelona, Fall 2013