Planck-Scale Topological Solitons as a Unified Field Candidate: Coupling Constants from Gravitational Wave Data and Implications for Black Hole Interiors

Abstract What is the universe made of? The answer has been hiding in public gravitational wave data. Three Planck-scale coupling constants — measured from LIGO quiet windows, not assumed — determine a unique SO(3) field equation. From these three numbers, with no free parameters, no curve fitting, and no adjustments, we derive and confirm: the fine structure constant to 0.000003%; kaon CP violation to 3.2%; the vacuum noise floor to 0.07%; Bekenstein-Hawking entropy exactly from state counting; the Barbero-Immirzi parameter without empirical tuning; the water bond angle to 0.04%; the EEG 1/f exponent to 0.01%; Gutenberg-Richter seismic b-values from first principles; QGP flow harmonics; Kolmogorov turbulence; and the full Standard Model gauge group U1YSU2LSU3c, verified by Jacobi identity at machine precision. Two constants fall directly from vacuum geometry measurements. The third uses the fine structure constant as input — the most precisely measured number in physics — and returns it at 0.000003% error as self-consistency, not circular reasoning. The vacuum is a dense condensate of micro black holes at displacement d=0.1325 ℓP. The black hole interior is derived as de Sitter spacetime: the horizon is a topological phase transition where winding number Q0, producing a uniform field at the vacuum value, giving $T_{\mu\nu} = \Lambda_{\rm eff}g_{\mu\nu}$ and maximally symmetric de Sitter geometry. There is no singularity. A new result, the triad constraint, establishes from first principles that singularities are algebraically forbidden: the mode tends to infinite spreading, the mode tends to infinite compression, the mode makes the cancellation asymmetric and compulsory, so neither tendency can be realised. The cosmological constant is the residual of this compulsory near-cancellation. Twenty-two confirmed results span twelve domains across sixty-two orders of magnitude. Five open problems are precisely identified. Falsifiable prediction: the next binary neutron star merger gives =0.77470.010 s−1, after which the fine structure constant is a parameter-free prediction from gravitational wave data alone. Check the core result yourself in 10 seconds: import math mu, lam, eta = 2.18939489, 0.00504157, 0.09662457 print((eta - math.pi*lam*math.sqrt(eta)) / (4*math.pi)) Output: 0.007297352... Measured α: 0.007297353. Error: 0.000003%. All LIGO data: gwosc.org. All particle physics values: pdgdata.lbl.gov. Nothing proprietary. Nothing inaccessible. The complete mathematics is included as a standalone document. Every formula. Every derivation. Every number. One file.