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2026
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| Online Access: | https://doi.org/10.5281/zenodo.20162710 |
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| author | Kulkarni, Raghu |
| author_facet | Kulkarni, Raghu |
| contents | <p>We develop a general theory of black-hole evaporation and information dynamics in the Selection-Stitch Model (SSM): a discrete K=12 FCC tensor-network vacuum with [[192,130,3]] CSS stabilizer code and G = a²/(8 ln 2) fixed by Bekenstein–Hawking entropy matching. A black hole is a topological vacancy where gravitational compression has driven the lattice past the metric wall r_min = L₀/√3, shattering all entanglement bonds and dropping the local coordination from K=12 to K=0. Treating the horizon as a discrete phase boundary with surface tension σ = ℏc/(4ℓ_P³) and applying absolute quantum rate theory to boundary re-stitching, we derive a recession velocity Ṙ = -(c/2)(ℓ_P/R_H) and a geometric lifetime τ_Geo = 4 t_P (M/m_P)² ∝ M², holding for all black holes. Peierls locking at correlation length L_corr ~ 1 fm suppresses this channel exponentially for R_H >> L_corr, so stellar-mass and supermassive black holes evaporate only through the standard Hawking channel; the geometric channel is observable only for primordial black holes (PBHs) with R_H ≲ L_corr. A 10¹⁵ g PBH evaporates in 0.46 ms, resolving the long-standing gamma-ray constraint that requires τ_Hawk ∝ M³ relics today. We frame the information question hierarchically: information in the SSM exists at four levels (bond, plaquette, cuboctahedral cell, global stabilizer pattern). Across the K=12 → K=0 boundary the hierarchy itself does not survive: it reduces to the lowest level. Bond-level information is preserved as the bit count of severed bonds, emerging as thermal Hawking radiation and reproducing S_BH = A/(4G); higher-level structure collapses into that thermal flux. Hawking's exact-thermal result is recovered, and the absence of Page-curve recovery of higher-level structure is a falsifiable prediction.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20162710 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Geometric Evaporation and Hierarchical Information Reduction in Black Holes: The K=12 → K=0 Lattice Phase Transition in the SSM Framework Kulkarni, Raghu <p>We develop a general theory of black-hole evaporation and information dynamics in the Selection-Stitch Model (SSM): a discrete K=12 FCC tensor-network vacuum with [[192,130,3]] CSS stabilizer code and G = a²/(8 ln 2) fixed by Bekenstein–Hawking entropy matching. A black hole is a topological vacancy where gravitational compression has driven the lattice past the metric wall r_min = L₀/√3, shattering all entanglement bonds and dropping the local coordination from K=12 to K=0. Treating the horizon as a discrete phase boundary with surface tension σ = ℏc/(4ℓ_P³) and applying absolute quantum rate theory to boundary re-stitching, we derive a recession velocity Ṙ = -(c/2)(ℓ_P/R_H) and a geometric lifetime τ_Geo = 4 t_P (M/m_P)² ∝ M², holding for all black holes. Peierls locking at correlation length L_corr ~ 1 fm suppresses this channel exponentially for R_H >> L_corr, so stellar-mass and supermassive black holes evaporate only through the standard Hawking channel; the geometric channel is observable only for primordial black holes (PBHs) with R_H ≲ L_corr. A 10¹⁵ g PBH evaporates in 0.46 ms, resolving the long-standing gamma-ray constraint that requires τ_Hawk ∝ M³ relics today. We frame the information question hierarchically: information in the SSM exists at four levels (bond, plaquette, cuboctahedral cell, global stabilizer pattern). Across the K=12 → K=0 boundary the hierarchy itself does not survive: it reduces to the lowest level. Bond-level information is preserved as the bit count of severed bonds, emerging as thermal Hawking radiation and reproducing S_BH = A/(4G); higher-level structure collapses into that thermal flux. Hawking's exact-thermal result is recovered, and the absence of Page-curve recovery of higher-level structure is a falsifiable prediction.</p> |
| title | Geometric Evaporation and Hierarchical Information Reduction in Black Holes: The K=12 → K=0 Lattice Phase Transition in the SSM Framework |
| url | https://doi.org/10.5281/zenodo.20162710 |