Dynamic Balance: A Thermodynamic Principle for the Emergence of the Golden Ratio in Open Non-Equilibrium Steady States

We develop a symmetry-based variational theory that shows the coarse-grained balance of work inflow to heat outflow in a driven, dissipative system relaxed to the golden ratio. Two order-2 Möbius transformations—a self-dual flip and a self-similar shift—generate a discrete non-abelian subgroup of &l...

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Bibliographic Details
Published in:Entropy
Main Author: Alejandro Ruiz
Format: Article
Language:English
Published: MDPI AG 2025-07-01
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Online Access:https://www.mdpi.com/1099-4300/27/7/745