Symmetry, Entropy, and Fractals: A Noetherian Framework for the Unfolding of Persistence
Year: 2025
Type: article
Abstract: We propose a conceptual and mathematical framework linking symmetry, entropy and fractal geometry by introducing the Axiom of One: every instance of persistence(a negation of the vacuum) is represented as one. We show that scale invariance via Noether’s theorem, implies fractal self-similarity, and that entropy is the logarithmic measure of fractal branching. Symmetry breaking increases entropy by expanding phase space while preserving ontological unity. This framework unites physical symmetry principles with the geometry of entropy and provides a new perspective on the mathematical structure of physical law.
Author: Prosser, T M
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7075916119
FWCI:
Cites:
Cited by:
Related to: