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: \[ { E_=ρ_A⁽⁴⁾Δ V_A, Δ V_A=4π_A^4, χ_g=1 Q_Σ=8π_A^2 S_HQTT=k_BA/4_A^2 } \] 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 \(4π_A^2\). 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: \[ { QΣ,+=Δ V_A/_A^2=4π_A^2, Q_Σ=QΣ,++QΣ,-=8π_A^2, Q_Σ^2=16πΔ V_A } \] The Artian Horizon Entropy-Measure Theorem then uses the UEL modular-record normalization. One saturated A7 bundle carries \(Qᵇᵘⁿᵈˡᵉ=2π\), hence exactly one natural unit of completed-record measure: \[ { Sₙₐₜᵇᵘⁿᵈˡᵉ={Qᵇᵘⁿᵈˡᵉ}{2π}=1, N_H={QᵇᵘⁿᵈˡᵉA}{Q_Σ}=A/4_A^2, S_HQTT=k_BN_H } \] 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 \(2π\) cross-pin. Only after the entropy is fixed does the A2/infrared first-law readout give \(Teff=κ_s/(2π k_Bc)\). \[ { {∂ S_HQTT} {∂\{T_HHawking,\,vacuum pair creation,\,Hawking flux\}} =0, UBH^{}UBH=I } \] 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.