The Bootstrap Spacetime Lattice: From Self-Reference to Physical Scales via Icosahedral Geometry

University of Southampton

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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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Topics & keywords

Keywords
  • Dimensionless quantity
  • Icosahedral symmetry
  • Lattice (music)
  • Spacetime
  • Axiom
  • Exponent
  • Baryon
  • Universe
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