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"metric_stress<-theta", "sigma_portal<-metric", "sigma_portal<-sigma", "sigma_portal<-theta", "theta_portal<-metric", "theta_portal<-sigma", "theta_portal<-theta" ], "action_anchor": "delta^2 S_ct,c_m[g,sigma,theta] / delta_q_A delta_q_B", "documentary_hold": "the_exact_S_ct,c_m_functional_is_not_defined_in_the_allowed_R3_authorities_or_canonical_homogeneous_specification", "status": "DOCUMENTARY_HOLD_BLOCKS_PHYSICAL_KERNEL" }, { "support": "local_covariant_distribution", "assembly_stage": "with_contacts_before_coupled_linearized_Ward_test", "state_dependent_UV_coefficient_allowed": false, "coefficient_value_supplied_here": false, "free_parameter_added": false, "id": "CT_R2_GG", "family": "curvature_R2", "affected_blocks": [ "metric_stress<-metric" ], "action_anchor": "delta^2 Integral sqrt(-g) c_R2 R^2 / delta_g delta_g", "status": "VARIATION_SLOT_REGISTERED_COEFFICIENT_FROM_FROZEN_RENORMALIZATION_ONLY" }, { "support": "local_covariant_distribution", "assembly_stage": "with_contacts_before_coupled_linearized_Ward_test", "state_dependent_UV_coefficient_allowed": false, "coefficient_value_supplied_here": false, "free_parameter_added": false, "id": "CT_RICCI2_GG", "family": "curvature_Ricci2", "affected_blocks": [ "metric_stress<-metric" ], "action_anchor": "delta^2 Integral sqrt(-g) c_Ricci2 R_mu_nu R^mu_nu / delta_g delta_g", "status": "VARIATION_SLOT_REGISTERED_COEFFICIENT_FROM_FROZEN_RENORMALIZATION_ONLY" }, { "support": "local_covariant_distribution", "assembly_stage": "with_contacts_before_coupled_linearized_Ward_test", "state_dependent_UV_coefficient_allowed": false, "coefficient_value_supplied_here": false, "free_parameter_added": false, "id": "CT_BOX_R_BOUNDARY", "family": "boundary_box_R", "affected_blocks": [ "boundary_and_initial_surface_only" ], "action_anchor": "delta^2 Integral sqrt(-g) c_boxR Box R / delta_g delta_g", "bulk_rule": "never_drop_until_boundary_and_initial_surface_convention_is_fixed", "status": "REDUNDANCY_REGISTERED_BOUNDARY_CONVENTION_BLOCKED" }, { "support": "local_covariant_distribution", "assembly_stage": "with_contacts_before_coupled_linearized_Ward_test", "state_dependent_UV_coefficient_allowed": false, "coefficient_value_supplied_here": false, "free_parameter_added": false, "id": "CT_EULER_GG", "family": "euler_density", "affected_blocks": [ "metric_stress<-metric", "boundary_bookkeeping" ], "action_anchor": "delta^2 Integral sqrt(-g) c_E Euler_4 / delta_g delta_g", "bulk_rule": "four_dimensional_topological_redundancy_retained_for_regulator_bookkeeping", "status": "REDUNDANCY_REGISTERED_BOUNDARY_CONVENTION_BLOCKED" } ], "initial_state_variation": { "separate_from_local_manifest": true, "assembly_stage": "after_kernel_and_local_terms_as_a_separately_labeled_source", "UV_counterterm_role": "none" }, "mandatory_assembly_order": [ "nonlocal_retarded_commutator_blocks", "local_contact_variations", "local_counterterm_variations", "separate_initial_state_variation", "coupled_linearized_Ward_test", "scalar_constraint_elimination" ], "physical_kernel_ready": false, "blocked_before_physical_evaluation": [ "exact_S_ct,c_m_functional_anchor", "new_AP1_M1_background", "component_and_gauge_invariant_scalar_projection", "pilot_derived_physical_tolerances_frozen_in_advance" ], "claim_boundary": "structural local-variation routing only; no evaluated physical contact term, counterterm kernel, Ward result, observable, fit or significance", "validation": { "status": "PASS_FAIL_CLOSED", "contact_entries": 9, "counterterm_entries": 7, "portal_Hessian_matrix_complete": true, "all_required_counterterm_families_registered": true, "state_dependent_UV_counterterms_absent": true, "invented_counterterm_coefficients_absent": true, "c_m_documentary_hold_enforced": true, "physical_kernel_ready": false } }