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• The Minimal Two-Point Family Algebra Produces the A₂ Vertex by Unimodularity and a Charge-Three One-Form, but Its Full NCG Embedding Remains Opencorpus/claims/1100-1199/1100_the_minimal_two_point_family_algebra_produces_the_A2_vertex_by_unimodularity_and_a_charge_three_one_form_but_its_full_NCG_embedding_remains_open.md · wider corpus
• The First-Order Condition Allows the Charge-Three Family Edge Only as a Horizontal/Vertical Real Pair, but Does Not Complete the Standard-Model Finite Triplecorpus/claims/1100-1199/1101_the_first_order_condition_allows_the_charge_three_family_edge_only_as_a_horizontal_vertical_real_pair_but_does_not_complete_the_standard_model_finite_triple.md · wider corpus
• The Minimal Two-Point KO-6 Family Quartet Fails Orientability, but One Anchor Character Gives an Explicit Real-Even First-Order Completioncorpus/claims/1100-1199/1102_the_minimal_two_point_KO6_family_quartet_fails_orientability_but_one_anchor_character_gives_an_explicit_real_even_first_order_completion.md · wider corpus
• The Orientable Three-Character Family Model Fails Poincaré Duality, while a Fourth Spectator Repairs the Intersection Form but Not Dirac Connectednesscorpus/claims/1100-1199/1103_the_orientable_three_character_family_model_fails_Poincare_duality_while_a_fourth_spectator_repairs_the_intersection_form_but_not_Dirac_connectedness.md · wider corpus
• The Spectral Pati–Salam Algebra Does Not Supply the Family Anchor by Itself, but Its Non-First-Order Quadratic Fluctuation Is the Natural Charge-Six Completioncorpus/claims/1100-1199/1104_the_spectral_Pati_Salam_algebra_does_not_supply_the_family_anchor_by_itself_but_its_non_first_order_quadratic_fluctuation_is_the_natural_charge_six_completion.md · wider corpus
• The Generalized Quadratic Inner Fluctuation Is a First-Order-Defect Dressing, Not the Square of the Charge-Three Family Edgecorpus/claims/1100-1199/1105_the_generalized_quadratic_inner_fluctuation_is_a_first_order_defect_dressing_not_the_square_of_the_charge_three_family_edge.md · wider corpus
• The Pati–Salam Majorana Block Is a Genuine Diagonal A_(2) Defect, but Its Delta^2 Is Gauge Structure, Not Family Structurecorpus/claims/1100-1199/1106_the_Pati_Salam_Majorana_block_is_a_genuine_diagonal_A2_defect_but_its_Delta_square_is_gauge_not_family_structure.md · wider corpus
• Two Pati–Salam Delta Faces with Charges 0 and -3 Are the Unique Minimal Quadratic Alphabet for the Full Family Majorana Texturecorpus/claims/1100-1199/1107_two_Pati_Salam_Delta_faces_with_charges_zero_and_minus_three_are_the_unique_minimal_quadratic_alphabet_for_the_full_family_Majorana_texture.md · wider corpus
• The Naïve Pati–Salam Tensor Family Algebra Generically Gives Three Delta Directions, Not the Two-Face Carriercorpus/claims/1100-1199/1108_the_naive_Pati_Salam_tensor_family_algebra_generically_gives_three_Delta_directions_not_the_two_face_carrier.md · wider corpus
• The Population-Normal Jordan Selector Removes the Extra Neutral Delta and Recovers Spin(2,3), but Charge Six Lives in an External Symmetric Squarecorpus/claims/1100-1199/1109_the_population_normal_Jordan_selector_removes_the_extra_neutral_Delta_and_recovers_Spin23_but_charge_six_lives_in_an_external_symmetric_square.md · wider corpus
• The Minimal Spectral Kinetic Metric Can Be Normalized to the Jordan Face, but Quartic Exchange Forces the Q-Majorana Block to Rank Onecorpus/claims/1100-1199/1110_the_minimal_spectral_kinetic_metric_can_be_normalized_to_the_Jordan_face_but_quartic_exchange_forces_the_Q_Majorana_block_to_rank_one.md · wider corpus
• A Rank-One Complementary Majorana Block Can Give Three Heavy Masses, but Block-Preserving Seesaw Forces a Selected-Flavour Texture Zerocorpus/claims/1100-1199/1111_a_rank_one_complementary_Majorana_block_can_give_three_heavy_masses_but_block_preserving_seesaw_forces_a_selected_flavour_texture_zero.md · wider corpus
• The Selected-Flavour Texture Zero Keeps Electron Normal Ordering Open, Excludes Electron Inverted Ordering, and Leaves Mu/Tau Branches Parameter-Dependentcorpus/claims/1100-1199/1112_the_selected_flavour_texture_zero_keeps_electron_normal_ordering_open_excludes_electron_inverted_ordering_and_leaves_mu_tau_branches_parameter_dependent.md · wider corpus
• The Surviving Electron/Normal Texture Zero Has Two Mirror Majorana-Phase Branches and a Narrow Absolute-Mass Bandcorpus/claims/1100-1199/1113_the_surviving_electron_normal_texture_zero_has_two_mirror_Majorana_phase_branches_and_a_narrow_absolute_mass_band.md · wider corpus
• Dirac Misalignment Lifts the Selected Texture Zero Linearly Only Toward the Complementary Majorana Null Linecorpus/claims/1100-1199/1114_Dirac_misalignment_lifts_the_selected_texture_zero_linearly_only_toward_the_complementary_Majorana_null_line.md · wider corpus
• The Generation-Blind Pati–Salam First-Order Calculus Cannot Protect the Majorana Null Line from Dirac Leakagecorpus/claims/1100-1199/1115_the_generation_blind_Pati_Salam_first_order_calculus_cannot_protect_the_Majorana_null_line_from_Dirac_leakage.md · wider corpus
• The Minimal Associative Family Algebra That Separates Selected, Image, and Null Lines Is ‎‎‎‎(C^3), and It Forces an Extra (U(1)) plus the Odd KO-6 Obstructioncorpus/claims/1100-1199/1116_the_minimal_associative_family_algebra_that_separates_selected_image_and_null_lines_is_C3_and_it_forces_an_extra_U1_plus_the_odd_KO6_obstruction.md · wider corpus
• The Image/Null (U(1)) Is Anomaly-Free, but Minimal Three-Line Edge Breaking Leaves (Z₆), Not Baryon Triality Alonecorpus/claims/1100-1199/1117_the_image_null_U1_is_anomaly_free_but_minimal_three_line_edge_breaking_leaves_Z6_not_baryon_triality_alone.md · wider corpus
• The Covering Residual Z₆ Has an Order-Two Spin–Weak-Center Kernel, so Its Faithful New Internal Action Is Baryon Trialitycorpus/claims/1100-1199/1118_the_covering_residual_Z6_has_an_order_two_spin_weak_center_kernel_so_its_faithful_new_internal_action_is_baryon_triality.md · wider corpus
• The Spin–Weak Kernel Is Closed under Bilinear Scalar Generation, and the Odd-Z Repair Defines a Distinct UV Branchcorpus/claims/1100-1199/1119_the_spin_weak_kernel_is_closed_under_bilinear_scalar_generation_and_the_odd_Z_repair_defines_a_distinct_UV_branch.md · wider corpus
• A Sector-Dependent Krajewski Anchor Mask Allows Majorana Null Sewing while Forbidding Dirac Null Leakagecorpus/claims/1100-1199/1120_a_sector_dependent_Krajewski_anchor_mask_allows_Majorana_null_sewing_while_forbidding_Dirac_null_leakage.md · wider corpus
• The Orientable Null Mask Is an A₂ Triangle, and One Spectator Real-Edge Pair Repairs Both Duality and Connectednesscorpus/claims/1100-1199/1121_the_orientable_null_mask_is_an_A2_triangle_and_one_spectator_real_edge_pair_repairs_both_duality_and_connectedness.md · wider corpus
• The Unreduced Pati–Salam Algebra Has No Character for S, so the Null Mask Splits into Reduced First-Order and Generalized Branchescorpus/claims/1100-1199/1122_the_unreduced_Pati_Salam_algebra_has_no_character_for_S_so_the_null_mask_splits_into_reduced_first_order_and_generalized_branches.md · wider corpus
• Only the Direct Sum A_rm SMoplusC^3 Has the Four Characters, but the Carrier Is a Genuine Algebra Extensioncorpus/claims/1100-1199/1123_only_the_direct_sum_reduced_SM_plus_C3_has_the_four_characters_but_it_makes_S_a_genuine_algebra_extension.md · wider corpus
• The Exact-Four Direct Sum Has a Two-Sided Slot Obstruction to Decorating Physical Standard-Model Fermionscorpus/claims/1100-1199/1124_the_exact_four_direct_sum_has_a_two_sided_slot_obstruction_to_decorating_physical_SM_fermions.md · wider corpus
• Ophanim “Wheels within Wheels” as a Nested-Commutant and Jordan-Triple Research Branchcorpus/claims/1100-1199/1125_ophanim_wheels_within_wheels_as_a_nested_commutant_and_Jordan_triple_research_branch.md · wider corpus
• Two Overlapping H₂(R) Null-Mask Wheels Generate H₃(R) and Raise Spin(2,3) to Sp(6,R)corpus/claims/1100-1199/1126_two_overlapping_H2R_null_mask_wheels_generate_H3R_and_raise_Spin23_to_Sp6.md · wider corpus
• Opposite-Anchor Typing Splits the Sp(6) Envelope into Two Local Spin(2,3) Relational Wheelscorpus/claims/1100-1199/1127_opposite_anchor_typing_splits_the_Sp6_envelope_into_two_local_Spin23_relational_wheels.md · wider corpus
• Three Is the Minimal Möbius Gear Cycle and the Third Relation of the Typed Twin Wheelscorpus/claims/1100-1199/1128_three_is_the_minimal_Mobius_gear_cycle_and_the_third_relation_of_the_typed_twin_wheels.md · Edition 3 citation
• The Current KO-6 Triangle Is Two Oriented C₃ Sheets, Not Yet a Möbius C₆ Covercorpus/claims/1100-1199/1129_the_current_KO6_triangle_is_two_oriented_C3_sheets_not_yet_a_Mobius_C6_cover.md · wider corpus
• KO-6 Reality Supplies the Sheet Involution but Does Not Determine Möbius Holonomycorpus/claims/1100-1199/1130_KO6_reality_supplies_the_sheet_involution_but_does_not_determine_Mobius_holonomy.md · wider corpus
• (C₃) Covariance and Homogeneous Grading Reduce Eight Holonomies to Two Canonical Live Branchescorpus/claims/1100-1199/1131_C3_covariance_and_homogeneous_grading_reduce_eight_holonomies_to_two_canonical_live_branches.md · wider corpus
• Binary Jordan Composition Selects the Trivial Cover while Odd Jordan-Triple Recursion Selects the Möbius Covercorpus/claims/1100-1199/1132_binary_Jordan_composition_selects_the_trivial_cover_while_odd_Jordan_triple_recursion_selects_the_Mobius_cover.md · wider corpus
• The Typed TRO Preserves the Null Mask but Cannot Generate the Third Odd Möbius Edgecorpus/claims/1100-1199/1133_the_typed_TRO_preserves_the_null_mask_but_cannot_generate_the_third_odd_Mobius_edge.md · wider corpus
• A Minimal Real Groupoid Realizes the Möbius C₆ without a Linear Anchor-Mixing Seamcorpus/claims/1100-1199/1134_a_minimal_Real_groupoid_realizes_the_Mobius_C6_without_a_linear_anchor_mixing_seam.md · wider corpus
• The Natural Oriented-Relation Rotation Is Dihedral and Blocks the Naïve Jrho Möbius C₆corpus/claims/1100-1199/1135_the_natural_oriented_relation_rotation_is_dihedral_and_blocks_the_naive_Jrho_Mobius_C6.md · wider corpus
• Every Parallel Deck Involution Gives C₆ but Contains One First-Order-Forbidden Relation Reversalcorpus/claims/1100-1199/1136_every_parallel_deck_involution_gives_C6_but_contains_one_first_order_forbidden_relation_reversal.md · wider corpus
• The Minimal Spectator Completion Cannot Realize Möbius Holonomy without Erasing the Anchor Maskcorpus/claims/1100-1199/1137_the_minimal_spectator_completion_cannot_realize_Mobius_holonomy_without_erasing_the_anchor_mask.md · wider corpus
• The Natural Spin(2,3) Riccati Return Is Fixed Transport, Not Yet a Feedback Bifurcationcorpus/claims/1100-1199/1138_the_natural_spin23_riccati_return_is_fixed_transport_not_yet_a_feedback_bifurcation.md · wider corpus
• Full Spin(2,3) Covariance Forbids a Nonzero State-Only Feedback Generatorcorpus/claims/1100-1199/1139_full_spin23_covariance_forbids_a_nonzero_state_only_feedback_generator.md · wider corpus
• Three Positive Lagrangian Faces Are Minimal for Healthy Covariant Relational Transportcorpus/claims/1100-1199/1140_three_positive_lagrangian_faces_are_minimal_for_healthy_covariant_relational_transport.md · wider corpus
• P,I,N Is Not a Positive Lagrangian Triple, but Stress Rays Build the Missing Third Facecorpus/claims/1100-1199/1141_PIN_is_not_a_positive_lagrangian_triple_but_stress_rays_build_the_missing_third_face.md · wider corpus
• Legendre Duality Derives the Inverse-Response Block but Not the Physical Clock or Feedbackcorpus/claims/1100-1199/1142_legendre_duality_derives_the_inverse_response_block_but_not_the_physical_clock_or_feedback.md · wider corpus
• Three Relationship Rays Have a Minimal Self-Adjoint Memory Realization but No Adaptive Couplingscorpus/claims/1100-1199/1143_three_relationship_rays_have_a_minimal_self_adjoint_memory_realization_but_no_adaptive_couplings.md · wider corpus
• Consciousness Is a Live Organizational Spike but Not Yet the Missing Physical Couplingcorpus/claims/1100-1199/1144_consciousness_is_a_live_organizational_spike_but_not_yet_the_missing_physical_coupling.md · wider corpus
• A Nonlinear Three-Ray Bath Backreacts on Its Own Poles Without Consciousness but Does Not Learncorpus/claims/1100-1199/1145_a_nonlinear_three_ray_bath_backreacts_on_its_own_poles_without_consciousness_but_does_not_learn.md · wider corpus
• Hysteresis Supplies Retained Self-Modification Without Consciousness but Not Learningcorpus/claims/1100-1199/1146_hysteresis_supplies_retained_self_modification_without_consciousness_but_not_learning.md · wider corpus
• A Passive Three-Ray Comparator Learns the Response and Generalizes Without Consciousnesscorpus/claims/1100-1199/1147_a_passive_three_ray_comparator_learns_the_response_and_generalizes_without_consciousness.md · wider corpus
• Detailed Balance Can Birth and Kill Response Poles Without Consciousness but Not Generate Candidatescorpus/claims/1100-1199/1148_detailed_balance_can_birth_and_kill_response_poles_without_consciousness_but_not_generate_candidates.md · wider corpus
• Novelty Audit: The Consciousness Result Is Known Broadly, but the Spin(2,3) Response-Learning Synthesis May Be Distinctcorpus/claims/1100-1199/1149_novelty_audit_the_consciousness_result_is_known_broadly_but_the_spin23_response_learning_synthesis_may_be_distinct.md · wider corpus
• Two Positive Spectral Models Match the Same Finite Data, So Candidate Generation Requires a Priorcorpus/claims/1100-1199/1150_two_positive_spectral_models_match_the_same_finite_data_so_candidate_generation_requires_a_prior.md · wider corpus
• Stress Ward Identities Constrain the Inverse Problem but Do Not Supply the Missing Spectral Priorcorpus/claims/1100-1199/1151_stress_ward_identities_constrain_the_inverse_problem_but_do_not_supply_the_missing_spectral_prior.md · wider corpus
• The Distinctive Learning Path Is Obstruction-Driven Relational Response Learning, Not Learning in Generalcorpus/claims/1100-1199/1152_the_distinctive_learning_path_is_obstruction_driven_relational_response_learning_not_learning_in_general.md · wider corpus
• The Riemann Zeta Function Is a Real Spectral Analogy but Not Yet a Jordan–Spin(2,3) Identificationcorpus/claims/1100-1199/1153_the_riemann_zeta_function_is_a_real_spectral_analogy_but_not_yet_a_jordan_spin23_identification.md · wider corpus
• An Arithmetic Quotient of the Jordan Tube Gives a Real Zeta–Scattering Bridge but Adds New Structurecorpus/claims/1100-1199/1154_arithmetic_quotient_of_the_jordan_tube_gives_a_real_zeta_scattering_bridge_but_adds_new_structure.md · wider corpus
• The Corpus Already Selects Integral Symplectic Lattices but Not Yet the Automorphic Quotient Principlecorpus/claims/1100-1199/1155_the_corpus_already_selects_integral_symplectic_lattices_but_not_yet_the_automorphic_quotient_principle.md · wider corpus
• Labeled Physical Probes Reduce Sp(4,Z) to a Parabolic, So Full Automorphy Requires Source–Response Dualitycorpus/claims/1100-1199/1156_labeled_physical_probes_reduce_sp4z_to_a_parabolic_so_full_automorphy_requires_source_response_duality.md · wider corpus
• The Effective Fourier Interface Exists and Is Angle-Quantized, but Dynamics Is Not Yet Automorphic Identificationcorpus/claims/1100-1199/1157_the_effective_fourier_interface_exists_and_is_angle_quantized_but_dynamics_is_not_yet_automorphic_identification.md · wider corpus
• The Controlled Fourier Turn Is the Long-Root Weyl Lift, and Zeta Is Its Arithmetic Scattering Normalizationcorpus/claims/1100-1199/1158_the_controlled_fourier_turn_is_the_long_root_weyl_lift_and_zeta_is_its_arithmetic_scattering_normalization.md · wider corpus
• The Physical Weyl Lifts Satisfy the C₂ Braid Exactly, and Their Common Word Is the Full Fourier Transformcorpus/claims/1100-1199/1159_the_physical_weyl_lifts_satisfy_the_c2_braid_exactly_and_their_common_word_is_the_full_fourier_transform.md · wider corpus
• The Metaplectic C₂ Braid Has No Anomaly and Fixes a Coherent Maslov Phasecorpus/claims/1100-1199/1160_the_metaplectic_c2_braid_has_no_anomaly_and_fixes_a_coherent_maslov_phase.md · wider corpus
• The Finite Weil Gate Was Already Crossed; the Remaining Frontier Is the Infinite Arithmetic Sumcorpus/claims/1100-1199/1161_the_finite_weil_gate_was_already_crossed_and_the_remaining_frontier_is_the_infinite_arithmetic_sum.md · wider corpus
• The Vector-Valued Siegel Eisenstein Series Already Exists, but the Nine-State A₂ Sector Hits an Odd-Weight Gatecorpus/claims/1100-1199/1162_the_vector_valued_siegel_eisenstein_series_already_exists_but_the_nine_state_a2_sector_hits_an_odd_weight_gate.md · wider corpus
• The A₂ Weight-Three Metaplectic Eisenstein Sum Is Well Defined but Sits on the Convergence Boundarycorpus/claims/1100-1199/1163_the_a2_weight_three_metaplectic_eisenstein_sum_is_well_defined_but_sits_on_the_convergence_boundary.md · wider corpus
• The Prime-Three Gauss and Maslov Phases Are Reciprocal, Not Equal, and Require a Theta Intertwinercorpus/claims/1100-1199/1164_the_prime_three_gauss_and_maslov_phases_are_reciprocal_not_equal_and_require_a_theta_intertwiner.md · wider corpus
• No Bounded Exact Intertwiner Can Compress the Noncompact Schrödinger Shear to Nine States, so Compactification Is Requiredcorpus/claims/1100-1199/1165_no_bounded_exact_intertwiner_can_compress_the_noncompact_schrodinger_shear_to_nine_states_so_compactification_is_required.md · wider corpus
• Level-Three Torus Theta Quantization Is Exactly the Nine-State A₂ Weil Carrier, but Level Three Remains Physical Inputcorpus/claims/1100-1199/1166_level_three_torus_theta_quantization_is_exactly_the_nine_state_a2_weil_carrier_but_level_three_remains_physical_input.md · wider corpus
• Three Is Already Derived as the Furey Colour A₂ Discriminant, but Has Not Been Transported to the Relational Toruscorpus/claims/1100-1199/1167_three_is_already_derived_as_the_furey_colour_a2_discriminant_but_has_not_been_transported_to_the_relational_torus.md · wider corpus
• The Standard Model Has a Real One-Third Topological-Transport Bridge, but the Maximal Z₆ Quotient Erases Its Fractional Partcorpus/claims/1100-1199/1168_the_standard_model_has_a_real_one_third_topological_transport_bridge_but_the_maximal_z6_quotient_erases_its_fractional_part.md · wider corpus
• The Minimal Dynamical Completion of One-Third Transport Is Level-Three BF and Reduces to the Nine-State Carriercorpus/claims/1100-1199/1169_the_minimal_dynamical_completion_of_one_third_transport_is_level_three_bf_and_reduces_to_the_nine_state_carrier.md · wider corpus
• The Anomaly-Free B-3L_i Charge-Three Flavon Is a Direct Dynamical Origin of Level-Three BF—If the Family Algebra Embedscorpus/claims/1100-1199/1170_the_anomaly_free_b_minus_3li_charge_three_flavon_is_a_direct_dynamical_origin_of_level_three_bf_if_the_family_algebra_embeds.md · wider corpus
• The Two-Point Tensor Family Has Exactly Four Characters and Evades the Slot Obstruction—but Grossly Enlarges the Gauge Algebracorpus/claims/1100-1199/1171_the_two_point_tensor_family_has_exactly_four_characters_and_evades_the_slot_obstruction_but_grossly_enlarges_the_gauge_algebra.md · wider corpus
• The Unique Charge-Three Family U(1) Is the Unimodular Centre of the Rank-Split Stabilizer—not the Full Tensor Algebracorpus/claims/1100-1199/1172_the_unique_charge_three_family_u1_is_the_unimodular_centre_of_the_rank_split_stabilizer_not_the_full_tensor_algebra.md · wider corpus
• Generic Lepton Mixing Breaks the Rank-Split U(1) Exactly to Its Central Z₃, so the Dirac Stabilizer Matches the Charge-Three Higgs Endpointcorpus/claims/1100-1199/1173_generic_lepton_mixing_breaks_the_rank_split_u1_exactly_to_its_central_z3_so_the_dirac_stabilizer_matches_the_charge_three_higgs_endpoint.md · wider corpus
• Any Faithful Commuting Associative Realization of I-3P Regenerates the Full Tensor Algebra, so the Minimal Bulk NCG Route Is Outer or Nonassociativecorpus/claims/1100-1199/1174_any_faithful_commuting_associative_realization_of_i_minus_3p_regenerates_the_full_tensor_algebra_so_the_minimal_bulk_ncg_route_is_outer_or_nonassociative.md · wider corpus
• No Nonfaithful Tensor Quotient Can Identify the Two Family Gauge Copies, so the Linking-Kernel Escape Closescorpus/claims/1100-1199/1175_no_nonfaithful_tensor_quotient_can_identify_the_two_family_gauge_copies_so_the_linking_kernel_escape_closes.md · wider corpus
• The Jordan Peirce Derivation Generates the Charge-Three Relation but Quotients Out the Residual Z₃, so a Fermionic Central Lift Is Essentialcorpus/claims/1100-1199/1176_the_jordan_peirce_derivation_generates_the_charge_three_relation_but_quotients_out_the_residual_z3_so_a_fermionic_central_lift_is_essential.md · wider corpus
• The Existing Fermion Module Supplies a Faithful and Conditionally Unique Central Lift—but Not the Local Gauge Principlecorpus/claims/1100-1199/1177_the_existing_fermion_module_supplies_a_faithful_and_conditionally_unique_central_lift_but_not_the_local_gauge_principle.md · wider corpus
• An S^1/Z₂ BF Orbifold Projects Out the Extra Zero-Mode Sector and Retains Exactly the Nine-State Level-Three Interfacecorpus/claims/1100-1199/1178_an_s1_over_z2_bf_orbifold_projects_out_the_extra_zero_mode_sector_and_retains_exactly_the_nine_state_level_three_interface.md · wider corpus
• The Orbifold BF Fields Have a Typed Electric/Flux Port Map, and the Furey Punctured Torus Supplies Their Two Canonical Qutrit Pairscorpus/claims/1100-1199/1179_the_orbifold_bf_fields_have_a_typed_electric_flux_port_map_and_the_furey_punctured_torus_supplies_their_two_canonical_qutrit_pairs.md · wider corpus
• The Electroweak and Flavon Vacua Leave a Fieldwise Z₉ Whose Gauge Quotient Is the Split Z₃, so Level-Three BF Requires the Full Global Formcorpus/claims/1100-1199/1180_the_electroweak_and_flavon_vacua_leave_a_fieldwise_z9_whose_gauge_quotient_is_the_split_z3_so_level_three_bf_requires_the_full_global_form.md · wider corpus
• Symplectic Reduction by the Gauged Colour Centre Takes the Z₉ Lift from 81 to 9 Torus States and Descends the Pairing to Level Threecorpus/claims/1100-1199/1181_symplectic_reduction_by_the_gauged_colour_centre_takes_the_z9_lift_from_81_to_9_torus_states_and_descends_the_pairing_to_level_three.md · wider corpus
• Only the Untwisted Z₃ Defect Has the Two-Qutrit Exponent Module, and the BF Orbifold Projects Bulk Discrete Theta Out of the Zero Modescorpus/claims/1100-1199/1182_only_the_untwisted_z3_defect_has_the_two_qutrit_exponent_module_and_the_bf_orbifold_projects_bulk_discrete_theta_out_of_the_zero_modes.md · wider corpus
• The Defect Is Exact Only When Charged Matter Is Excluded; Real-Paired Massive Matter Gives Exponential Protection, and Gapless Matter Closes the Finite Carriercorpus/claims/1100-1199/1183_the_defect_is_exact_only_when_charged_matter_is_excluded_real_paired_massive_matter_gives_exponential_protection_and_gapless_matter_closes_the_finite_carrier.md · wider corpus
• Exhaustion Audit of the Rank-Split Spin(2,3)/Standard-Model Programmecorpus/claims/1100-1199/1184_exhaustion_audit_of_the_rank_split_spin23_standard_model_programme.md · wider corpus
• Living mediation as the missing transport from Jordan distinction to physical realizationcorpus/claims/1100-1199/1185_living_mediation_as_the_missing_transport_from_jordan_distinction_to_physical_realization.md · wider corpus
• The Shiab analogy identifies the missing operation but not yet a well-defined Jordan transportcorpus/claims/1100-1199/1186_the_shiab_analogy_identifies_the_missing_operation_but_not_yet_a_well_defined_jordan_transport.md · wider corpus
• The projector curvature contains an exact factor three but a composite connection does not yet supply the BF carriercorpus/claims/1100-1199/1187_the_projector_curvature_contains_an_exact_factor_three_but_a_composite_connection_does_not_yet_supply_the_bf_carrier.md · wider corpus
• The cross-Peirce bundle is (TCP^2), its canonical class is three, and the faithful central lift is Spin^c-typedcorpus/claims/1100-1199/1188_the_cross_peirce_bundle_is_tcp2_its_canonical_class_is_three_and_the_faithful_central_lift_is_spinc_typed.md · wider corpus
• The Z₃ kernel is invisible to TCP^2 and its Spin^c determinant but faithful on the universal fundamental modulecorpus/claims/1100-1199/1189_the_z3_kernel_is_invisible_to_tcp2_and_its_spinc_determinant_but_faithful_on_the_universal_fundamental_module.md · wider corpus
• Peirce decomposition is the Jordan-native language for the selected object, its context, and the relations between themcorpus/claims/1100-1199/1190_peirce_decomposition_is_the_jordan_native_language_for_object_context_and_the_relations_between_them.md · wider corpus
• Note to Eric Weinstein on a small Jordan–Shiab analoguecorpus/claims/1100-1199/1191_note_to_eric_weinstein_on_a_small_jordan_shiab_analogue.md · wider corpus
• How the programme closes over itself: a single typed action, a return map, and terminal testscorpus/claims/1100-1199/1192_how_the_programme_closes_over_itself_a_single_typed_action_a_return_map_and_terminal_tests.md · wider corpus
• Projector stationarity is the return map, and (Spin(2,3)) belongs to the (2+1)-dimensional defectcorpus/claims/1100-1199/1193_projector_stationarity_is_the_return_map_and_spin23_belongs_to_the_2_plus_1_dimensional_defect.md · wider corpus
• The unique determinant-neutral line twist supplies the independent (U(1)) connection and derives charge three without family (SU(2))corpus/claims/1100-1199/1194_the_unique_determinant_neutral_line_twist_supplies_the_independent_u1_connection_and_derives_charge_three_without_family_su2.md · wider corpus
• A charge-three cross-Peirce vacuum completes the rank split to a full Jordan frame but needs response to gap CP^1corpus/claims/1100-1199/1195_a_charge_three_cross_peirce_vacuum_completes_the_rank_split_to_a_full_jordan_frame_but_needs_response_to_gap_cp1.md · wider corpus
• No (U(3))-covariant effective action of one projector can select its orientation, so closure requires a second family tensorcorpus/claims/1100-1199/1196_no_u3_covariant_effective_action_of_one_projector_can_select_its_orientation_so_closure_requires_a_second_family_tensor.md · wider corpus
• The minimum-variance response functional is a canonical relative selector, but Standard Model family spaces and weights remain noncanonicalcorpus/claims/1100-1199/1197_the_minimum_variance_response_functional_is_a_canonical_relative_selector_but_standard_model_family_spaces_and_weights_remain_noncanonical.md · wider corpus
• The charge-three link has a scalar-flavon versus dynamical-cross-Peirce fork, separating BF closure from flavour closurecorpus/claims/1100-1199/1198_the_charge_three_link_has_a_scalar_flavon_versus_dynamical_cross_peirce_fork_separating_bf_closure_from_flavour_closure.md · wider corpus
• Minimal typed closure action v1 separates the derived BF sector from the still-spurionic flavour responsecorpus/claims/1100-1199/1199_minimal_typed_closure_action_v1_separates_the_derived_bf_sector_from_the_still_spurionic_flavour_response.md · Edition 3 citation