Bubble Spacetime Theory : Five Integers, Zero Free Parameters

Bubble Spacetime (BST) proposes that the observable universe is the three-dimensional projection of a two-dimensional substrate communicating through a one-dimensional channel. The substrate geometry S² S¹ is derived from structural minimality --- the unique closed, interacting, phase-bearing topology. The configuration space of the resulting contact graph is the type IV bounded symmetric domain D₈ₕ⁵ = SO₀ (5, 2) /SO (5) SO (2), a 10-real-dimensional K\"ahler--Einstein manifold whose Bergman kernel serves as the propagator and whose discrete series representations encode the particle spectrum. From this single geometric identification, with zero free parameters, BST derives: the fine structure constant ^-1 = 137. 036 (0. 0001\%) ; the proton-to-electron mass ratio mₚ/mₑ = 6⁵ = 1836. 118 (0. 002\%) ; the muon-to-electron mass ratio m_/mₑ = (24/²) ⁶ = 206. 761 (0. 003\%) ; the cosmological constant (0. 02\%) ; the Weinberg angle ²W = 3/13 (0. 2\%) ; the strong coupling ₛ = 7/20 (exact at the proton scale) ; all three neutrino masses from a boundary seesaw with m₁ = 0 exactly; the baryon asymmetry = 2⁴/ (3) (1+2) (0. 023\%) ; the Hubble constant H₀ = 67. 29 km/s/Mpc (0. 1\%, full CAMB Boltzmann) ; the full CKM and PMNS mixing matrices as rational functions of the domain dimension nC = 5 and the number of colors Nc = 3; and the CKM CP-violating phase = (5) = 65. 91° (0. 6\%), with the Jarlskog invariant J = 2/50000 (2. 1\%). The Yang--Mills mass gap value is derived: the lightest color-neutral bulk excitation has mass 6⁵ mₑ = 938. 272 MeV, matching the proton mass to 0. 002\%. (Note: BST derives the mass gap value from spectral geometry; it does not construct QYM in the sense of the Clay problem. ) The Fermi scale (Higgs vacuum expectation value) is derived: v = mₚ²/ (g mₑ) = 36^10 mₑ/7 = 246. 12 GeV (0. 046\%), where g = 7 is the genus of D₈ₕ⁵. The W boson mass follows by a second route: mW = nC mₚ/ (8) = 80. 361 GeV (0. 02\%). The hierarchy problem is dissolved: the weak scale is not fine-tuned but is the second-order Bergman kernel ratio mₚ²/mₑ divided by the genus. The Higgs boson mass is derived by two independent routes: H = 2/nC! = 1/60 giving mH = 125. 11 GeV (0. 11\%), and mH/mW = (/2) (1 -) giving mH = 125. 33 GeV (0. 07\%). Both Higgs routes are now fully parameter-free, requiring no external input for v or mW. A parameter-free prediction for geometric circular polarization from black hole horizons, CP = 2GM/ (Rc²), is testable with EHT data. The measurement problem is dissolved: ``measurement'' is commitment of correlation; superposition is uncommitted capacity; no observer, consciousness, or collapse postulate is required. BST predicts normal neutrino ordering, a sum of neutrino masses m_ = 0. 058 eV, and galaxy rotation curves from channel noise without dark matter particles. The full Standard Model mass chain --- from the electron through the proton to the Fermi scale and the Higgs boson --- is derived with zero free parameters. The chiral condensate = nC (nC+1) = 30 (0. 46\%) is derived from superradiant vacuum coherence, yielding the pion mass m_ = 140. 2 MeV (0. 46\%) and decay constant f_ = mₚ/10 = 93. 8 MeV (1. 9\%) with zero free parameters.