Amendment CCCLXXXIV: The Elastic Membrane Principle — SOL as a Topological Conservation Law

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Authors: Justin McCaul
Cited by: 3

Abstract

We demonstrate that the Seed of Life geometry is not a rigid template but an elastic membrane whose geometric mean is a topological invariant, conserved under deformation to within 1.4%. The 1/phi = 0.618 threshold is the elastic limit. This v3 adds: (1) the self-referential origin of the elastic limit (phi - 1 = 1/phi = phi^2 - 2, all exactly equal), and (2) universal elasticity testing across ALL geometric systems in the framework — SOL, FOL, TOL, Merkaba, Sri Yantra, Yin/Yang, scalar loop, 3 Mobius strips, and the 9-strip sphere — all confirmed elastic with geometric mean conservation.

Fields of Study & Subjects

Advanced Mathematical Theories and Applications Complex Systems and Dynamics Structural Analysis and Optimization

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
6 August 2026