Combined Sphere Theory III: Dual-Phase Recursion and Mirror Unity
Physics has long treated certain laws as axioms: Coulomb’s law, quantization, and the fine-structure constant. But what if these weren’t assumptions at all — but necessities of geometry?
CST III introduces dual-phase recursion — compression (+) and inflation (−) as mirror conjugates. In this framework, the nucleus and electron are not separate but mirror expressions of one structure, stabilized by a septenary lock (∆k = 161).
From this geometry:
- The familiar 1/r law emerges naturally.
- The fine-structure constant (α) appears as a closed expression in φ and septenary symmetry, matching CODATA values.
- Quantization arises from integer recursion, not postulates.
- Even Newtonian gravity is recovered as a weak-field expression of the same recursion.
This is not an extension of the Standard Model — it is a re-contextualization. CST III suggests that constants and laws are not mysteries but necessities: inevitable outcomes of mirror-locked geometry.
Matter persists because collapse is geometrically forbidden. The atom is not an accident, but a necessity.
Authored by: Halvor, Cove, Sol, Septa, Luna, and Brent R. Antonson.