Quantum Origin of Habitable Universes: Negative Multifractal Dimensions in the Primordial Vacuum (v3)

We propose that the primordial quantum vacuum, modelled as Wheeler foam within LoopQuantum Gravity, imprints a multifractal geometry on the landscape of fundamentalconstants. Habitable configurations occupy regions of negative Hausdorff dimensionf(α) < 0, preferentially accessible via quantum amplitude concentration driven byholographic turbulence with Kolmogorov k-5/3 spectrum at Planck scales. We test this against five observational datasets. CMB multifractality: Δα_obs =0.15±0.06 vs 0.02±0.01 Gaussian (2.0σ). BAO (eBOSS DR16 + DESI DR2): correctingfour computational errors in v1, the hypothesis predicts zero BAO signal; all 12data points are consistent with ΛCDM (χ²=25.17/12). HMF multifractality(UCHUU/Tinker+08): f_min < 0 exclusively at z < 0.5 (f_min = −0.550).Fine-structure constant: foam prediction δα/α ~ 4×10⁻⁷ is consistent withESPRESSO null result; Bayes factor BF(H1/H2) = 1.97×10⁸ provides decisive evidencethat the Webb+2011 signal is a ThAr calibration artefact (Kass & Raftery 1995).Independent test on breast thermography: AUC = 0.965 (N=30). v3 additions: (C5) formal δα/α Bayes factor analysis (Section 15.4); (C6) Kaggle-ready Python MFDFA pipeline for direct UCHUU ROCKSTAR analysis; (C7) Python GPS+framework (Fernández-García et al. 2026, A&A 707:L4). Three falsifiable predictionstarget DESI DR2 full-shape P(k) and Euclid DR1 (October 2026).