Entropy as Geometric Asymmetry on Surfaces

This paper proposes a novel geometric interpretation of entropy, independent of statistical mechanics. Based on Closed Surface Theory, it defines entropy as a function of asymmetry in vector distributions across a closed surface φ. Uniform patterns yield vector cancellation and minimal entropy, while asymmetric or distorted surface configurations produce residual vector flow interpreted as increased entropy. This formulation connects entropy to surface geometry, enabling its application to physical systems including gravitational curvature, electromagnetic tension, and biological structures. Author: Tetsuo Konno (今野哲夫) (ORCID: https://orcid.org/0009-0002-1842-7865)This work is part of a broader effort to unify physical phenomena through surface-based geometry.To avoid confusion with other researchers of similar name, please refer to the above ORCID identifier.