Fixed Point Reconstruction of Physical Laws
Published:Dec 31, 2025 18:52
•1 min read
•ArXiv
Analysis
This paper proposes a novel framework for formalizing physical laws using fixed point theory. It addresses the limitations of naive set-theoretic approaches by employing monotone operators and Tarski's fixed point theorem. The application to QED and General Relativity suggests the potential for a unified logical structure for these theories, which is a significant contribution to understanding the foundations of physics.
Key Takeaways
- •Formalizes physical laws using monotone operators and fixed point theory.
- •Addresses limitations of naive set-theoretic formulations.
- •Applies the framework to QED and General Relativity.
- •Suggests a unified logical structure for physical theories.
Reference
“The paper identifies physical theories as least fixed points of admissibility constraints derived from Galois connections.”