Artian's Geometry Denies Source-Level Information Loss and Removes Hawking Radiation from the Bekenstein Constructor Set

A geometry-first derivation of horizon entropy without a Hawking constructor Version: 5.0 Concept DOI: 10.5281/zenodo.20346916 Author: Ali Attar Website: quantumtraction.org Main book: Quantum Traction Theory: Main Book v10.01 The source object is the completed-event face of the Unified Equilibrium Law. The horizon enters only after the event, its ruler, its surface quotient, and its modular record measure are fixed: \[ \boxed{ E_\ast=\rho_A^{(4)}\Delta V_A, \quad \Delta V_A=4\pi\ell_A^4, \quad \chi_g=1 \Longrightarrow Q_\Sigma=8\pi\ell_A^2 \Longrightarrow S_H^{\rm QTT}=k_B\frac{A}{4\ell_A^2} } \] Version 5.0 closes two named results. The A5-X Surface-Capacity Uniqueness Theorem reduces one completed four-cell through one Reality-spine thickness and one surface-normal thickness, obtaining the one-sided capacity \(4\pi\ell_A^2\). A regular orientable boundary has exactly two coorientations. A7 types them as the visible incidence and its same-universe hidden completion, so the completed carrier is additive: \[ \boxed{ Q_{\Sigma,+}=\frac{\Delta V_A}{\ell_A^2}=4\pi\ell_A^2, \qquad Q_\Sigma=Q_{\Sigma,+}+Q_{\Sigma,-}=8\pi\ell_A^2, \qquad Q_\Sigma^2=16\pi\Delta V_A } \] The Artian Horizon Entropy-Measure Theorem then uses the UEL modular-record normalization. One saturated A7 bundle carries \(Q^{\rm bundle}=2\pi\), hence exactly one natural unit of completed-record measure: \[ \boxed{ S_{\rm nat}^{\rm bundle}=\frac{Q^{\rm bundle}}{2\pi}=1, \qquad N_H=\frac{Q^{\rm bundle}A}{Q_\Sigma}=\frac{A}{4\ell_A^2}, \qquad S_H^{\rm QTT}=k_BN_H } \] No black-hole Euclidean period, vacuum pair creation, Hawking flux, fitted horizon degeneracy, or observed \(1/4\) coefficient is used to construct this chain. The Casimir-bundle and Bisognano-Wichmann/KMS routes provide an independent black-hole-free \(2\pi\) cross-pin. Only after the entropy is fixed does the A2/infrared first-law readout give \(T_{\rm eff}=\hbar\kappa_s/(2\pi k_Bc)\). \[ \boxed{ \frac{\partial S_H^{\rm QTT}} {\partial\{T_H^{\rm Hawking},\,\text{vacuum pair creation},\,\text{Hawking flux}\}} =0, \qquad U_{\rm BH}^{\dagger}U_{\rm BH}=I } \] Closed source results: SIGMA-A5X-SURFACE-CAPACITY-UNIQUENESS-CLOSED SIGMA-HORIZON-ENTROPY-MEASURE-ONE-NAT-CLOSED SIGMA-BEKENSTEIN-WITHOUT-HAWKING-CLOSED SIGMA-A7-BH-FINITE-LEDGER-UNITARY-CLOSED SIGMA-CASIMIR-BUNDLE-2PI-PIN-CLOSED Related source anchors: UEL modular-charge information face Three Readouts, One Surface Tile Artian entropy and Second-Law theorem A2 endurance to Einstein-field dynamics A5-X lexicon anchor Fourth-face visual explanation Included files: PDF paper, LaTeX source, fourth-face figure, 60-digit verification script and receipt, render audit, metadata, checksum manifest, and release ZIP.