Resolutionism: The Phase Space of Finite-Information Universes

Abstract

We propose "Resolutionism," a phenomenological framework treating the universe as a physical realization of a topological holographic quantum error-correcting code (HQECC) with finite capacity (N ∼ 10^122 bits). We characterize the system via a hardware phase space defined by Capacity (N), Connectivity (α), and Saturation (Σ). The framework's scaling parameter α ≈ 6.0 is calibrated from the top/charm mass ratio and independently verified by retrieving α from the observed up quark mass with 5% internal consistency. The stability window α ∈ [5.8, 6.4] is grounded in the percolation threshold of topological codes, validated through numerical simulation. We derive quantitative predictions: (1) The up quark mass (∼ 3.5 MeV at 2 GeV scale, within factor of 2 of observation); (2) A neutrino mass sum (Σmν ≈ 0.10 eV) within the observational window [0.059, 0.12] eV; (3) An objective collapse threshold (M ∼ 10−14 kg) based on topological code distance; (4) Information-theoretic constraints on gauge theories (b < 0.36/N_fields bits per eld), predicting at 95% saturation the SM vacuum has effective Hilbert dimension d ≈ 1.020 per eld (98% pure state), with gauge fields using 34% of holographic capacity and 5% headroom preventing system lockup. This sets a maximum viable GUT scale at N < 260 fields (E8 at boundary). We map a hierarchy of phase transitions structuring reality: geometric percolation enables spacetime, thermodynamic saturation freezes physical laws, and computational buffer overflow induces quantum collapse. We resolve the Hubble Tension via vacuum saturation dynamics. Eight testable predictions/verifications are detailed: proton stability (HyperKamiokande, 2027+), neutrino mass sum (CMB-S4 and DESI, 2026-2030), objective collapse (MAQRO/QGEM interferometry, 2030+), early universe quasars (JWST, ongoing), Hubble tension evolution (SH0ES/Planck/DESI), Hilbert space dimensions (lattice QCD entropy, 2025-2028), gauge capacity distribution (information budget analysis, 2026-2030), and maximum GUT scale (E8 at boundary, verified).

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