The Logical Structure of Physical Laws: A Fixed Point Reconstruction
History and Philosophy of Physics
2026-02-04 v2 General Relativity and Quantum Cosmology
Mathematical Physics
Logic
math.MP
Abstract
We formalise the self-referential definition of physical laws using monotone operators on a lattice of theories, resolving the pathologies of naive set-theoretic formulations. By invoking Tarski fixed point theorem, we identify physical theories as the least fixed points of admissibility constraints derived from Galois connections. We demonstrate that QED and GR can be represented in such a logical structure with respect to their symmetry and locality principles.
Keywords
Cite
@article{arxiv.2512.25057,
title = {The Logical Structure of Physical Laws: A Fixed Point Reconstruction},
author = {Eren Volkan Küçük},
journal= {arXiv preprint arXiv:2512.25057},
year = {2026}
}