Quantum Traction Theory and the LHC Top-Antitop Threshold

Quantum Traction Theory and the LHC Top--Antitop Threshold Version: 4.0 Concept DOI: 10.5281/zenodo.20123498 Author: Ali Attar Website: quantumtraction.org This paper gives the QTT treatment of the LHC top--antitop threshold as a parameter-free, empirical-PDF-free beam-access theorem. The finite QTT threshold address is \[ η_tQTT=[(t t)C=1,S=0,L=0,J^-]_{w{ -closed}}, \] and the proton--gluon source rail is \[ g_pQTT(x,μ_A)= 16/31/B(2-λ_A,7)x-λ_A(1-x)^6 . \] The locked v4.0 threshold result remains \[ σQTT(pp→η_t→ t t)=8.475386076\,{ pb}. \] It compares to CMS TOP-24-007 at \(-0.250σ\), ATLAS-CONF-2025-008 at \(-0.404σ\), and the simple two-detector display combination at \(-0.462σ\), with no empirical PDF table, no detector fit, no \(K\)-factor, and no post-data exponent shift in the constructor. Version 4.0 adds the blind small-\(x\) Artian diffusion audit harness. The source equation is \[ dλ_A = {C_Aα_sQTT(μ)}{24π}\,dlnμ, C_A=3, \] with integral form \[ λ_A(μ;μ_0) = 1-2/ρ + C_A/24π ∫lnμ_0lnμ α_sQTT(μ')\,dlnμ'. \] The universal beam-access ratio operator is \[ R_XQTT(s_2,s_1)= { LggQTT(M_X^2/s_2,μ_X)} { LggQTT(M_X^2/s_1,μ_X)} . \] The exact finite luminosity operator is computed as a finite binomial sum: \[ LggQTT(τ,μ) = A_g^2τ1-λ_A ∑ᵢ₌₀⁶∑ⱼ₌₀⁶ (-1)ⁱ⁺ʲ{6}{i}{6}{j} τ^j Iᵢⱼ(τ), \] where \[ Iᵢⱼ(τ)= {cases} ln(1/τ),& i=j,\\[0.4em] {1-τⁱ⁻ʲ}{i-j},& i≠ j. {cases} \] Main status labels: SIGMA-TOPONIUM-THRESHOLD-ACCESS-SPINE-CLOSED SIGMA-CMS-ATLAS-THRESHOLD-CROSS-SECTION-GREEN-CANDIDATE SIGMA-SMALL-x-ARTIAN-DIFFUSION-SOURCE-EQUATION-CLOSED SIGMA-SMALL-x-BLIND-AUDIT-HARNESS-OPENED SIGMA-HIGGS-BEAM-ACCESS-RATIO-PREREGISTERED SIGMA-LOW-MASS-DIJET-LAMBDA-AUDIT-PENDING The Higgs and low-mass dijet rows are not claimed as full cross-section predictions in this release. They are preregistered source-ratio rows. A full laboratory comparison requires the declared hard channel, access map, fiducial definition, unfolding convention, and covariance object. Included files: Main PDF paper, Version 4.0 LaTeX source Standard-library Python verifier Constructor YAML Audit-row CSV Locked-prediction JSON Machine certificate Assistant workpack score and salvage note Render audit SHA-256 manifest