Stellar Collapse, Walk-Operator Phase Transitions, and the Resolution of Black Hole Pathologies on the Z3 ⊗ Q3 Information Lattice

We present a comprehensive model of mass generation, stellar evolution, and singularity resolution based on the discrete Z3 ⊗Q3 quantum error-correcting (QEC) substrate. Treat- ing the vacuum as a topological tensor network rather than a continuum, we derive bare constituent masses from QND parity measurements, yielding a topological mass gap of 3.375. Scaling to the macroscopic regime, stellar collapse endpoints represent geometric saturation limits: neutron stars natively saturate the 3-colour capacity of the unit cell, predicting an exact core density of 4.62 ×1017 kg/m3 . As gravitational metric strain exceeds topological elasticity, the event horizon manifests as a phase transition in the walk operator (W= S·C): the coin freezes and redirects energy into the shift, mechanically reproducing the Schwarzschild space-time swap. We resolve the AMPS firewall paradox by demonstrating that horizons act as high-activity Z-stabilizer sur- faces where quantum non-demolition (QND) measurements extract syndrome information isometrically, preserving entanglement monogamy. Hawking radiation is explicitly generated by the severing of virtual excursions into the 208-state invalid subspace. The central singu- larity is strictly averted: extreme metric strain overcomes the strong-force mixing parameter (tmix), triggering colour deconfinement. This physically shatters the composite Oh symme- try of the lattice, mathematically destroying the Eg graviton tensor mode and melting space into a pre-geometric qubit plasma. This revised edition adds a substantive operator-algebra closure of the structural picture. Applying the Lindbladian jump-operator algebra and 8-bit entanglement monogamy mech- anism developed in companion papers [7, 8] at the scale of cosmological horizons produces five new structural results: (I) the event horizon is reinterpreted as an active QEC firewall driven by a horizon dissipator L(k) BH = √γκΠQeiκτ0 Zk XkΠP in which κ-induced phase shifts saturate the 8-bit monogamy budget of infalling Wilson Z-strings, forcing string snapping with probability 1; (II) the Hawking temperature TH = κ/(2πkB) is derived from sub- strate first principles via the KMS detailed-balance condition on the horizon dissipator’s discrete-time periodicity — the same KMS mechanism that fixes the cosmological substrate temperature, providing a structural unification of horizon thermodynamics across BH and de Sitter horizons; (III) the central singularity is replaced by a topological condensate where the bipartite gauge web collapses to a unipartite Truncated Cubic Honeycomb of face-mated Q3 cells, with the walk operator becoming analytically undefined and substrate time literally stopping; (IV) the information paradox dissolves structurally because the horizon truncates information systematically via the Dhorizon jump operators while the thermodynamic ledger is perfectly balanced by Hawking Landauer exhaust; (V) a sharp bulk-boundary decom- position resolves the volume paradox by separating the bulk matter condensate (governed by baryon count Vcore = NB·a3 0, giving Rcore ≈8.3 km for a 10 M⊙ BH at QCD satura- tion density) from the boundary entropy ledger (∼1079 snapped-string syndromes giving the Bekenstein–Hawking A/4). The Christodoulou–Rovelli linear-in-advanced-time interior- volume growth is then identified as the ledger-accumulation rate between the static core and the horizon. The framework geometrically separates the two fundamental scales: QCD-scale physics (a0 ∼fm →km-scale core) lives in the bulk, while Planck-scale Bekenstein–Hawking entropy lives on the 2D holographic horizon.

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Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-27
DOI
https://doi.org/10.5281/zenodo.20413334
Primary Topic
International Science and Diplomacy
Type
preprint
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preprint

Stellar Collapse, Walk-Operator Phase Transitions, and the Resolution of Black Hole Pathologies on the Z3 ⊗ Q3 Information Lattice

David Elliman
Zenodo (CERN European Organization for Nuclear Research)
International Science and Diplomacy
preprint

Stellar Collapse, Walk-Operator Phase Transitions, and the Resolution of Black Hole Pathologies on the Z3 ⊗ Q3 Information Lattice

David Elliman
preprint en

Abstract

We present a comprehensive model of mass generation, stellar evolution, and singularity resolution based on the discrete Z3 ⊗Q3 quantum error-correcting (QEC) substrate. Treat- ing the vacuum as a topological tensor network rather than a continuum, we derive bare constituent masses from QND parity measurements, yielding a topological mass gap of 3.375. Scaling to the macroscopic regime, stellar collapse endpoints represent geometric saturation limits: neutron stars natively saturate the 3-colour capacity of the unit cell, predicting an exact core density of 4.62 ×1017 kg/m3 . As gravitational metric strain exceeds topological elasticity, the event horizon manifests as a phase transition in the walk operator (W= S·C): the coin freezes and redirects energy into the shift, mechanically reproducing the Schwarzschild space-time swap. We resolve the AMPS firewall paradox by demonstrating that horizons act as high-activity Z-stabilizer sur- faces where quantum non-demolition (QND) measurements extract syndrome information isometrically, preserving entanglement monogamy. Hawking radiation is explicitly generated by the severing of virtual excursions into the 208-state invalid subspace. The central singu- larity is strictly averted: extreme metric strain overcomes the strong-force mixing parameter (tmix), triggering colour deconfinement. This physically shatters the composite Oh symme- try of the lattice, mathematically destroying the Eg graviton tensor mode and melting space into a pre-geometric qubit plasma. This revised edition adds a substantive operator-algebra closure of the structural picture. Applying the Lindbladian jump-operator algebra and 8-bit entanglement monogamy mech- anism developed in companion papers [7, 8] at the scale of cosmological horizons produces five new structural results: (I) the event horizon is reinterpreted as an active QEC firewall driven by a horizon dissipator L(k) BH = √γκΠQeiκτ0 Zk XkΠP in which κ-induced phase shifts saturate the 8-bit monogamy budget of infalling Wilson Z-strings, forcing string snapping with probability 1; (II) the Hawking temperature TH = κ/(2πkB) is derived from sub- strate first principles via the KMS detailed-balance condition on the horizon dissipator’s discrete-time periodicity — the same KMS mechanism that fixes the cosmological substrate temperature, providing a structural unification of horizon thermodynamics across BH and de Sitter horizons; (III) the central singularity is replaced by a topological condensate where the bipartite gauge web collapses to a unipartite Truncated Cubic Honeycomb of face-mated Q3 cells, with the walk operator becoming analytically undefined and substrate time literally stopping; (IV) the information paradox dissolves structurally because the horizon truncates information systematically via the Dhorizon jump operators while the thermodynamic ledger is perfectly balanced by Hawking Landauer exhaust; (V) a sharp bulk-boundary decom- position resolves the volume paradox by separating the bulk matter condensate (governed by baryon count Vcore = NB·a3 0, giving Rcore ≈8.3 km for a 10 M⊙ BH at QCD satura- tion density) from the boundary entropy ledger (∼1079 snapped-string syndromes giving the Bekenstein–Hawking A/4). The Christodoulou–Rovelli linear-in-advanced-time interior- volume growth is then identified as the ledger-accumulation rate between the static core and the horizon. The framework geometrically separates the two fundamental scales: QCD-scale physics (a0 ∼fm →km-scale core) lives in the bulk, while Planck-scale Bekenstein–Hawking entropy lives on the 2D holographic horizon.

Zenodo (CERN European Organization for Nuclear Research)
Catholic University of Mozambique (MZ)
Sustainable cities and communities
International Science and Diplomacy
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