Version 8.1 Update: The Unified Mathematical & Topological Foundations
This major update significantly expands the theoretical rigor and visual clarity of the framework. It formalizes the underlying geometric axioms and establishes the macroscopic Hubble residual as an integral part of a unified geometric origin for fundamental physical constants.
Key Additions in v8.1:
Rigorous Mathematical Appendix: Added a comprehensive appendix (“Mathematical and Topological Foundations of the Arc Spinner”) that translates the Arc Geometry axioms into formal topological manifolds and operator algebra.
Resolution of Wave-Particle Duality: Introduced the Dual Algebraic Operators of Spontaneous Doubling. It mathematically demonstrates that the historical wave-particle duality is not an inherent contradiction of matter, but the projection of a unified natural energy onto reciprocal baselines: the Temporal Operator (T^∝2n) and the Spatial Operator (S^∝∑i).
Cross-Dimensional Unification of Constants: Explicitly linked the topological residual of the Hubble Tension (H0) to the identical spontaneous doubling mechanism that generates the Fine-Structure Constant (α) in the T(1,2) vacuum and the entropic veto of the Gravitational Constant (G).
Two New Schematic Diagrams:
Figure 3: A core schematic illustrating the Dual Operators and the geometric projection of Wave-Particle Duality.
Figure 4 (Unified Family Tree): A detailed topological flowchart showing the purely geometric emergence of α, G, and the Hubble residual from the Arc Theory core.
发表于 2026-3-18 22:50
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