What question did this study set out to answer?

The aim is to explore how the primordial quantum vacuum influences the architecture of habitable universes through multifractal structures.

April 8, 2026Open Access

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

Key Points

The aim is to explore how the primordial quantum vacuum influences the architecture of habitable universes through multifractal structures.
Modeling the primordial quantum vacuum as Wheeler foam within Loop Quantum Gravity.
Assessing five observational datasets including CMB multifractality and BAO.
Correcting computational errors from previous versions for accurate predictions.
Performing Bayes factor analysis for the fine-structure constant signal.
Introducing Kaggle-ready Python tools for further analysis.
Identified regions of negative Hausdorff dimension associated with habitable configurations.
Demonstrated that predictions for CMB multifractality significantly differ from Gaussian expectations.
Confirmed zero BAO signal consistent with ΛCDM model with corrected data.
Found a consistent fine-structure constant prediction aligned with ESPRESSO null result.
Achieved AUC of 0.965 on test using breast thermography data.

Abstract

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: Δαₒbs =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): fₘin < 0 exclusively at z < 0. 5 (fₘin = −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 (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).

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