The Standard Model Carrier Exhaustion Closure

This paper completes the Standard Model Carrier Exhaustion ARC. It asks whether any same-scope Standard Model-associated attribute retains primitive standing outside the certified carrier package once the gauge, matter, charge/coupling/renormalization, flavor/mixing/generation, Higgs, and generation-cardinality closure results have been received. The paper’s central result is a primitive-status exhaustion theorem. It distinguishes primitive carrier standing from derivative skins, numerical values, field symbols, routes, projections, measurement records, EFT displays, anomaly surfaces, BSM model labels, burdens, failures, and target updates. The theorem does not claim empirical finality, does not exclude new physics, and does not derive every numerical Standard Model parameter. Instead, it proves that within the fixed same-scope Standard Model carrier arena, no attribute outside the certified primitive carrier package closes as a residual primitive. The global carrier package includes the gauge carrier network, matter carrier network, primitive charge-side carrier package, primitive flavor-side carrier package, and the Higgs bridge/fixation carrier. Generation cardinality is handled as governance instantiated by the separate forced role-occupancy endpoint, not as an additional primitive carrier. The paper also constructs the global registered status atlas for field labels, particle names, coupling values, RG curves, CKM/PMNS coordinates, phase coordinates, masses, widths, Higgs presentations, EFT operators, Wilson coefficients, detector records, anomaly reports, and BSM surfaces. Within the ARC, SM-6 is the final synthesis theorem. It imports the local sector deletions, proves that the union of received carriers forms one coherent Standard Model carrier architecture, closes projection/interface/EFT/numerical/Higgs/BSM/anomaly escape routes, exposes the hostile-certificate branch, and proves that no valid same-scope hostile primitive closes inside the fixed arena. The result is primitive closure with skin openness: the Standard Model is closed at the same-scope primitive carrier level while remaining open to measurement refinement, numerical fitting, projection languages, EFT descriptions, anomaly pressure, BSM audit, and target-updating physics. Position in the ARC SM-6 is the global carrier-exhaustion closure paper. It is the capstone of the ARC and should be presented as the synthesis paper, not as another local sector paper. SM-1: classifier-level primitive-carrier / derivative-skin protocol. SM-2: gauge-sector closure. SM-3: matter-sector closure. SM-4: charge, coupling, and renormalization transport closure. SM-5: flavor, mixing, and fixed-envelope generation-governance closure. Generation-cardinality endpoint: supplies the forced role-occupancy endpoint used to instantiate generation governance at three. Higgs ARC endpoint: supplies the Higgs bridge/fixation carrier and no-fifth-Higgs-primitive closure. SM-6: assembles all of the above into the final same-scope Standard Model primitive-survivor deletion theorem.