Bundled Existence Denies Black-Hole Information Loss: The A7 Horizon Visible/Hidden Cut and Unitary Ledger Evaporation

Abstract

Bundled Existence Denies Black-Hole Information Loss Version: 3.0Concept DOI: 10.5281/zenodo.20346916Author: Ali AttarWebsite: quantumtraction.org This paper gives the Quantum Traction Theory (QTT) denial of black-hole information loss. Version 3.0 upgrades the earlier structural source/access denial by constructing the finite A7 horizon reshuffling operator explicitly. The claim is not that Hawking-regime thermodynamics is fake. The claim is that the information-loss conclusion comes from identifying an exterior reduced state with the complete physical state. In QTT, A7 closes every active world-cell address as a completed same-universe bundle: \[ Q_w^{\rm bundle}=Q_w^{\rm vis}+Q_w^{\rm hid}=2\pi, \qquad \Delta Q_w^{\rm vis}+\Delta Q_w^{\rm hid}=0. \] The v3.0 construction models the horizon as \[ N_H(T)=\frac{A(T)}{4\ell_A^2} \] completed A7 bundles. On each bundle the elementary source operation is the two-side capacity rotation \[ u_{a,n}(\theta_{a,n},\varphi_{a,n})= \begin{pmatrix} \cos\theta_{a,n} & -e^{-i\varphi_{a,n}}\sin\theta_{a,n}\\ e^{i\varphi_{a,n}}\sin\theta_{a,n} & \cos\theta_{a,n} \end{pmatrix}, \qquad u_{a,n}^{\dagger}u_{a,n}=I_2. \] Therefore the complete black-hole source map is the finite time-ordered product \[ U_{\rm BH}(T_N,T_0)= \mathcal T \prod_{n=0}^{N-1}\prod_{a=1}^{N_H(T_n)} u_{a,n}(\theta_{a,n},\varphi_{a,n}), \qquad U_{\rm BH}^{\dagger}U_{\rm BH}=I. \] The exterior laboratory state remains an access trace: \[ \rho_{\rm ext}(T)= \operatorname{Tr}_{\rm hid} \left[ U_{\rm BH}(T,T_0)\rho_{\rm source}(T_0)U_{\rm BH}^{\dagger}(T,T_0) \right]. \] Exterior mixedness is therefore an access limitation, not source-level information destruction. The v3.0 hidden-row firewall states that the reshuffling angles are not chosen to fit a desired Page curve: \[ \frac{\partial\theta_{a,n}}{\partial S_{\rm Page}^{\rm desired}}=0. \] Their total transfer is fixed by the Hawking-regime access luminosity derived from \(T_{\rm eff}=\hbar\kappa_s/(2\pi k_Bc)\), the IR greybody row, and the A6 local-capacity cutoff. The paper also derives the leading Schwarzschild ledger Page-time scaling: \[ \frac{t_{\rm Page}^{\rm QTT}}{t_{\rm evap}^{\rm QTT}} = 1-\frac{1}{2\sqrt2} = 0.646446609406726\ldots. \] This is a source-ledger scaling result, not an astrophysical observation claim. Version 3.0 also closes the information-bearing remnant exclusion: \[ \dim\mathcal H_{\rm hid}(T) \le \exp\!\left(\frac{A(T)}{4\ell_A^2}\right) \longrightarrow 1 \qquad(A\to0). \] An arbitrarily large hidden memory cannot be added to a zero-area remnant without adding capacity outside the A7 horizon ledger. Main status labels: SIGMA-A7-NO-HAIR-THERMALITY-DENIED SIGMA-A7-PURE-TO-MIXED-DENIED SIGMA-HORIZON-VISIBLE-HIDDEN-CUT-CLOSED SIGMA-BEKENSTEIN-HAWKING-QUARTER-FROM-A7-GREEN SIGMA-A7-BH-FINITE-LEDGER-UNITARY-CLOSED SIGMA-HIDDEN-ROW-NO-TUNING-RESERVOIR-CLOSED SIGMA-A2-BH-GREYBODY-ACCESS-TRANSFER-CLOSED SIGMA-PAGE-BOUND-LEDGER-GREEN SIGMA-PAGE-TIME-SCALING-CLOSED SIGMA-REMNANT-EXCLUSION-CLOSED SIGMA-SPECIES-RESOLVED-SM-S-MATRIX-PROGRAMME The claim is explicitly scoped. This is a QTT source theorem inside Artian's Universe. It does not claim a species-resolved Standard-Model channel \(S\)-matrix for every outgoing mode correlation. That refinement remains programme work. The v3.0 achievement is the finite-ledger source unitary, the no-tuning hidden-row firewall, the Page-time scaling, and remnant exclusion. Related QTT anchors: Main book v10.01: 10.5281/zenodo.20394203 A2 Einstein-field dynamics: 10.5281/zenodo.20763263 A7U distributed Planck bundles: 10.5281/zenodo.20097247 Entropy as anchored modular charge: 10.5281/zenodo.20045306 Corpus Tree / DOI Map: https://quantumtraction.org/doi-map/ Two Universes black-hole anchor: https://quantumtraction.org/two-universes/#gravity-71 Included files: PDF paper, Version 3.0 LaTeX source Zenodo HTML description Release README Render audit SHA-256 checksum file