Going Deeper into a Black Hole: The Horizon as a Quantum-Error-Correcting Record

Abstract

A focused deep-dive companion to the gravity and black-hole paper: the black-hole horizon as a finite quantum-error-correcting record governed by a single object, the three-cube coboundary δ. Three results. (i) One δ controls the boundary strain record, the firewall isometry, and the single blind degree of freedom — but the Hawking degeneracies and the area coefficient additionally need a register-validity/monogamy ingredient provably independent of δ, so the unification is real but not “one δ controls everything.” (ii) The Bekenstein area law, written in substrate units (node area A_node = a₀²/4, proton-primary G), is exactly equivalent to a microscopic records rate: each horizon node carries ~10³⁸ nats while a single eight-bit cell holds at most 8 ln 2 ≈ 5.5, so the area entropy cannot be stored — standing storage fails by 37–45 orders of magnitude across the black-hole mass range — and must instead flow, at rate H₀ M_P²/(16 Λ_QCD³) = C α₀². (iii) The coefficient is C = 55/8 — 56 directed monogamy incidences modulo the one global-complement blind slot, with AGL(3,2) covariance fixing the measure; the last conditional — whether the per-pair direction tag is value-level or an address-level geometric stamp — is now discharged by two independent arguments: the record channel is the syndrome itself, and AGL(3,2) covariance forbids an address-level orientation outright. The dynamical picture has firmed up too: the local KMS scheduler is now derived from symmetric Schwarzschild microcanonical exchange; a radial freeze-shell/escape-cone map gives the Hawking M⁻² scaling; a standard Schwarzschild spin/partial-wave greybody transfer dresses the finite ladder; and the absolute flux equals the standard Hawking coefficient via the near-horizon Bogoliubov spectrum, with the (10/27)α₀ source-counting a 0.29% shortcut (species: two-helicity photon plus a computed 11.4% graviton). Prediction: Ω_Λ = 12π/55 = 0.6854 (α-free, +0.1σ, Planck branch of the Hubble tension). An earlier ≈0.31-Eddington horizon-bandwidth reading and a near-unit ringdown-echo claim are both withdrawn — the channel is a post-service record-writing channel, not a real-time entropy bottleneck or a coherent mirror; and fast scrambling is forbidden by finite-range locality (the bounded-degree, translation-invariant ℤ³ abelian-Cayley no-go), a falsifiable negative. The absolute Planck-mass scale is not settled here — it rests on the separate gravity-sector selector/billing analysis — nor is the continuum/background lift.

Keywords

How to cite

Elliman, D. (2026). Going Deeper into a Black Hole: The Horizon as a Quantum-Error-Correcting Record. Neuro-Symbolic Ltd technical report. https://doi.org/10.5281/zenodo.21111941

@techreport{elliman2026blackholedeep,
  author      = {Elliman, David},
  title       = {Going Deeper into a Black Hole: The Horizon as a Quantum-Error-Correcting Record},
  institution = {Neuro-Symbolic Ltd},
  year        = {2026},
  doi         = {10.5281/zenodo.21111941},
  url         = {https://neusym.ai/papers/blackhole_deep}
}