Natural discrete differential calculus in physics
High Energy Physics - Theory
2022-10-12 v2 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Abstract
We sharpen a recent observation by Tim Maudlin: differential calculus is a natural language for physics only if additional structure, like the definition of a Hodge dual or a metric, is given; but the discrete version of this calculus provides this additional structure for free.
Cite
@article{arxiv.1902.03026,
title = {Natural discrete differential calculus in physics},
author = {Carlo Rovelli and Václav Zatloukal},
journal= {arXiv preprint arXiv:1902.03026},
year = {2022}
}
Comments
4 pages, 1 figure. Version 2: minor revision and references added