Artian Radiative Lorentz-Stability: Exact Collins Response, Euclidean-First Unitarity, and the Postulate E Boundary

Artian Radiative Lorentz-Stability Subtitle: Exact Collins Response, Euclidean-First Unitarity, and the Postulate E Boundary Version: 2.0 Concept DOI: 10.5281/zenodo.21301312 Author: Ali Attar Website: quantumtraction.org This paper gives the field-theory Lorentz-stability theorem for the finite-address regulator used by Quantum Traction Theory (QTT). It addresses the Collins–Perez–Sudarsky–Urrutia–Vucetich objection directly: if microscopic physics distinguishes time from space, loops can transmit that distinction into unsuppressed low-energy operators. The paper therefore does not argue from the smallness of the Artian length. It computes the relevant tensor projection and a deliberately anisotropic control. The source-side capacity data are \[ Δ V_4=4π_A^4, Λ_=(8π)1/4_A⁻¹, t_=_A^2/48. \] The legal local regulator belongs to the scalar class (F(_A^2k_E^2)). Rank-two and rank-four loop moments therefore reduce to invariant tensors. With the gauge-covariant background-field implementation, the one-loop electron and photon functions contain ordinary Lorentz-scalar renormalizations but no Lorentz-violating minimal-SME kinetic coefficient: \[ { ΠSMELV [ Γ1PIArtian - Γ1PILorentz ]d≤4 =0. } \] The paper then carries the anisotropic deformation through the same one-loop kinetic projector. For \[ F_ξ(k)=exp[-a(k_0^2+ξ| k|^2)], \] the exact response is \[ { Δ c(ξ)= e^2(ξ-1)/16π^2 ∫_0^∞ {y^2\,dy}{(1+y)3/2(ξ+y)5/2}. } \] Consequently, \[ { Δ c(1)=0, .dΔ c/dξ|ξ=1 =e^2/48π^2 =α/12π =1.9356828868×10⁻⁴. } \] The cutoff scale cancels. A one-percent microscopic anisotropy would therefore generate an approximately (1.94×10⁻⁶) low-energy kinetic contrast. This reproduces the Collins sensitivity and establishes that the Artian zero is a symmetry zero rather than a blind projector. The real-time completion is treated separately. The paper proves that the exponentially damped Euclidean propagator cannot, by itself, be an ordinary positive Källén–Lehmann two-point function. It therefore excludes the naive prescription that pointwise-Wick-rotates the Gaussian and integrates it on the real Minkowski energy axis. For the physical entire branch, \[ F(z)=e-H(z)≠0 (z∈ C finite), \] the form factor adds no finite-plane poles. Physical amplitudes are defined by Euclidean-first analytic continuation with loop-energy contours deformed around the ordinary propagator poles: \[ { M_A = ACC_A M_E, 2Im M_A = ∑_C∫ dΦ_C\, MA,L(C) MA,R(C)\,*. } \] Under the printed Hermiticity, entire-profile, convergence, BRST, and no-spurion hypotheses, the branch obeys the perturbative Cutkosky rules and is perturbatively unitary. Scientific status: SIGMA-ARTIAN-ISOTROPIC-REGULATOR-CLASS-CLOSED — GREEN SIGMA-COLLINS-QED-ONE-LOOP-LV-PROJECTION-CLOSED — GREEN SIGMA-COLLINS-EXACT-LOOP-RESPONSE-CLOSED — GREEN SIGMA-ARTIAN-ENTIRE-NO-NEW-POLE-BRANCH-CLOSED — GREEN SIGMA-ARTIAN-EUCLIDEAN-FIRST-CUTKOSKY-UNITARITY-CLOSED — GREEN, perturbative and scoped SIGMA-NAIVE-REAL-AXIS-MINKOWSKI-GAUSSIAN-EXCLUDED — forbidden construction SIGMA-POSTULATE-E-FULL-SM-DERIVATION-PENDING — AMBER SIGMA-OS-REFLECTION-POSITIVITY-RECONSTRUCTION-PENDING — AMBER SIGMA-STRICT-SUBADDRESS-MICROCAUSALITY-PENDING — AMBER The scope distinction is deliberate. The paper closes regulator-induced Collins percolation and the perturbative Euclidean-first continuation gate. It does not derive every Standard-Model interaction from A1–A7, calculate quantum-gravity or dynamical-lapse loops, claim ordinary reflection positivity for a naively Gaussian-multiplied propagator, or infer the regulator from an experimental Lorentz null result. QTT anchors: Quantum Traction Theory: Main Book, Version 10.01 Artian Lorentz Compliance Audit Artian A2 Endurance to Einstein-Field Dynamics Artian's Universe and the source/readout distinction QTT Lexicon Included files: main PDF, Version 2.0 (the default preview file); complete reconstruction package containing the LaTeX source and style file; independent Python verification program; JSON and text machine certificates; exact negative-control plot in PDF and PNG formats; scientific and render audits; SHA-256 manifest.