Two invariants govern this framework: a topological integer D that sets the geometry of the arena, and dynamical harmonic modes ℓᵢ that populate it. From the holographic bound and a Randall–Sundrum II embedding — two axioms — the unique bulk dimensionality D = 5 is derived (26 independent proofs across 16 mathematical domains). The resulting S³/Z₂ geometry with SU (5) gauge–Higgs unification via the Hosotani mechanism produces 52 physical quantities with zero continuously tuneable parameters in the dimensionless sector. A single observational input, the RS compactification length ℓ ≈ 35 μm inferred from the observed cosmological constant, sets the overall mass scale. The 52 quantities span the gauge couplings (g₂² = 4249/10000, αₛ⁻¹ = 111229/13125), the electroweak scale (v = 246. 25 GeV), the Higgs and top-quark masses (with two-loop corrections on S³/Z₂ computed here for the first time in the gauge–Higgs unification literature), the CMB angular power spectrum (χ² = 0. 651 against Planck 2018 with zero fitted parameters), the cosmological constant, the dark matter ratio, and the fermion mass hierarchy. Of the 28 predictions, 22 are confirmed within 2σ.
Alexander Humphrey (Thu,) studied this question.