The Bootstrap Spacetime Lattice: From Self-Reference to Physical Scales via Icosahedral Geometry
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Abstract
The Bootstrap Universe derives dimensionless ratios—the fine structure constant α⁻¹ = 137.036, the proton-electron mass ratio μ = 1836.15, the electron anomalous magnetic moment—from a single axiom of self-referential closure acting through icosahedral geometry. But dimensionless ratios require a ruler. This paper derives the spacetime lattice: the physical fabric whose fundamental unit converts bootstrap geometry into measurable distances. The lattice spacing is set by the strong nuclear force range (1 fm = 19 lattice units), yielding 1 lattice unit ≈ 0.053 fm. From this single anchor, six physical scales emerge as icosahedral exponents of the Planck length: e⁴⁴ (proton mass), e⁸⁴ (crystallisation time), e¹³⁷…
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1Topics & keywords
Topics
Keywords
- Dimensionless quantity
- Icosahedral symmetry
- Lattice (music)
- Spacetime
- Axiom
- Exponent
- Baryon
- Universe
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