nLab Categories in Continuum Physics

Context

Physics

physics, mathematical physics, philosophy of physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

experiment, measurement, computable physics

Topos Theory

topos theory

Background

Toposes

Internal Logic

Topos morphisms

Extra stuff, structure, properties

Cohomology and homotopy

In higher category theory

Theorems

This page is to record the reference:

on the foundations of continuum mechanics (also rational thermodynamics), variational calculus and equations of motion in synthetic differential geometry, diffeological spaces, Frölicher spaces and of the notion intensive and extensive properties by mapping spaces in ring objects, and related constructions in topos theory.

Related texts by Lawvere include

For related discussion see also at geometry of physics and higher category theory and physics.

category: reference

Last revised on September 11, 2025 at 16:12:36. See the history of this page for a list of all contributions to it.