Theoretical modeling reveals covariant quantum geometry regularization across cosmological scales, suggesting direct observational falsifiability within modern astrophysical pipelines.
This paper constitutes the formal continuation and mathematical refinement of the theoretical framework introduced in Part I regarding the non-perturbative regularization of quantum spacetime geometries. We address and resolve the critical gauge-conservation and dimensionality anomalies inherent in naive quantum-gravitational truncations by enforcing a strictly covariant energy-momentum tensor for the non-commutative vacuum (∇_μ T^μν = 0), driven by an emergent, de Sitter-like backreaction decay into the ambient radiation sector. The historical fine-tuning problem surrounding the primordial spacetime foam variance (σ_Θ ≤ 10⁻³²) is resolved from first principles via localized cosmological UV-IR mixing on compact Connes spectral manifolds, scaling deterministically as (l_P / R_H)¹/². Finally, we provide explicit, non-singular "here-and-now" numerical simulation protocols and strict observational falsification criteria designed for direct deployment within existing Planck/HEALPix analysis pipelines, QuTiP master equation integrators, and cosmic structure N-body solvers (such as Gadget-4 or Arepo), cross-correlated with empirical data from the THINGS / LITTLE THINGS surveys.
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Maxim Sokolov (2026) studied this question.
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