1000 1099

One level deeper

Subdirectories

No child directories.

At this level

Documents

• All Four Higgs-Dressed Furey Dirac Composites Are Even Under the Known Microscopic Centers, So the Coherent Minus Sign Must Live on a Response Rootcorpus/claims/1000-1099/1000_all_four_higgs_dressed_furey_dirac_composites_are_even_under_the_known_microscopic_centers_so_the_coherent_minus_sign_must_live_on_a_response_root.md · wider corpus
• The Neutral Furey Peirce Line Times the Lepton–Colour Doublet Is the Minimal Four-Real Response Root, and Its Gram Is the Jordan Carriercorpus/claims/1000-1099/1001_the_neutral_furey_peirce_line_times_the_lepton_color_doublet_is_the_minimal_four_real_response_root_and_its_gram_is_the_jordan_carrier.md · wider corpus
• The Four Furey Response Channels Have an Exact Reducing Intertwiner to the Neutral-Peirce Lepton–Colour Rootcorpus/claims/1000-1099/1002_the_four_furey_response_channels_have_an_exact_reducing_intertwiner_to_the_neutral_peirce_lepton_color_root.md · wider corpus
• The Exact Furey Response Root Has a Weighted Circle of Covariant Aggregates, but a Fixed Symmetric Root Requires Unbroken Channel Degeneracycorpus/claims/1000-1099/1003_the_exact_furey_response_root_has_a_weighted_circle_of_covariant_aggregates_but_a_fixed_symmetric_root_requires_unbroken_channel_degeneracy.md · wider corpus
• The Weighted Furey Root Is a Flat Horizontal Double Cover of Its Projector Circle with Central Minus-Identity Holonomycorpus/claims/1000-1099/1004_the_weighted_furey_root_is_a_flat_horizontal_double_cover_of_its_projector_circle_with_central_minus_identity_holonomy.md · Edition 3 citation
• A Complex Relative Phase Realizes the Weighted-Root Hopf Loop at Fixed Positive Magnitudes but Turns the Antiunitary into a Real-Bundle Involutioncorpus/claims/1000-1099/1005_a_complex_relative_phase_realizes_the_weighted_root_hopf_loop_at_fixed_positive_magnitudes_but_turns_the_antiunitary_into_a_real_bundle_involution.md · wider corpus
• The Six Marked Hopf Phases Map Equivariantly to the Placement Cover, and the Phase Half-Turn Is the Coherent Deck Liftcorpus/claims/1000-1099/1006_the_six_marked_hopf_phases_map_equivariantly_to_the_placement_cover_and_the_phase_half_turn_is_the_coherent_deck_lift.md · wider corpus
• Placement, Deck and Real Symmetry Force cos(6φ) as the Minimal Phase-Locking Term and Select the Six Marked Hopf Phases Conditionallycorpus/claims/1000-1099/1007_placement_deck_and_real_symmetry_force_cos6phi_as_the_minimal_phase_locking_term_and_select_the_six_marked_hopf_phases_conditionally.md · wider corpus
• A Deck-Odd Complex Jordan Cubic Generates the Minimal Sixth Harmonic, but the Real Determinant Alone Cannotcorpus/claims/1000-1099/1008_a_deck_odd_complex_jordan_cubic_generates_the_minimal_sixth_harmonic_but_the_real_determinant_alone_cannot.md · wider corpus
• The Oriented Exceptional Determinant Has the Right Character Only After a Projective-Ratio Embedding and Is Bicubic on the Hopf Rootcorpus/claims/1000-1099/1009_the_oriented_exceptional_determinant_has_the_right_character_only_after_a_projective_ratio_embedding_and_is_bicubic_on_the_hopf_root.md · wider corpus
• The Bicubic Orientation Is a Global Hopf-Map Function Whose Even Square Selects Six Equatorial Roots and Has Forced Polar Zeroscorpus/claims/1000-1099/1010_the_bicubic_orientation_is_a_global_hopf_map_function_whose_even_square_selects_six_equatorial_roots_and_has_forced_polar_zeros.md · wider corpus
• The Face-Population Jordan Determinant Supplies a Polar Barrier, but the Coherent Rank-One Projector Cannotcorpus/claims/1000-1099/1011_the_face_population_jordan_determinant_supplies_a_polar_barrier_but_the_coherent_rank_one_projector_cannot.md · wider corpus
• Partial Face Dephasing Is the Exact Compatibility Window Between the Jordan Determinant Barrier and the Hopf-Cubic Phasecorpus/claims/1000-1099/1012_partial_face_dephasing_is_the_exact_compatibility_window_between_the_jordan_determinant_barrier_and_the_hopf_cubic_phase.md · wider corpus
• The Strict-Loss Schur Defect Fixes the Partial-Dephasing Overlap Conditionally but Does Not Identify the Two Channelscorpus/claims/1000-1099/1013_the_strict_loss_schur_defect_fixes_the_partial_dephasing_overlap_conditionally_but_does_not_identify_the_two_channels.md · wider corpus
• A Minimal Three-State Environment Jointly Realizes Scalar Loss and Partial Dephasing Pointwise, but Causal Globalization Remains Opencorpus/claims/1000-1099/1014_a_minimal_three_state_environment_jointly_realizes_scalar_loss_and_partial_dephasing_pointwise_but_causal_globalization_remains_open.md · wider corpus
• Unequal Face Transfers Admit a Joint Environment Exactly Inside a Gram-Overlap Disk, and Relative Phase Can Exclude Real Dephasingcorpus/claims/1000-1099/1015_unequal_face_transfers_admit_a_joint_environment_exactly_inside_a_gram_overlap_disk_and_relative_phase_can_exclude_real_dephasing.md · wider corpus
• The Physical Silver Channels Select a Negative Real Overlap Inside the Gram Disk at the Unit-Frequency Checkpointcorpus/claims/1000-1099/1016_the_physical_silver_channels_select_a_negative_real_overlap_inside_the_gram_disk_at_the_unit_frequency_checkpoint.md · wider corpus
• The Physical Silver Real Overlap Is Necessarily Band-Limited and Must Complexify or Stop at a Finite Cutoffcorpus/claims/1000-1099/1017_the_physical_silver_real_overlap_is_necessarily_band_limited_and_must_complexify_or_stop_at_a_finite_cutoff.md · wider corpus
• The Unique Silver Loss arsinh(1) Cancels the Two-Chart Pole and Turns the Complex Gram Centre into a Causal Schur Overlapcorpus/claims/1000-1099/1018_the_unique_silver_loss_asinh1_cancels_the_two_chart_pole_and_turns_the_complex_gram_center_into_a_causal_schur_overlap.md · wider corpus
• The Existing Jordan and Rate Actions Do Not Select arsinh(1), but Causal Gram Extremality Does Conditionallycorpus/claims/1000-1099/1019_the_existing_jordan_and_rate_actions_do_not_select_asinh1_but_causal_gram_extremality_does_conditionally.md · wider corpus
• The Unique Silver Pole–Zero Seam Is Compression-Specific and Does Not Lift to the Minimal Darlington Relative Matrixcorpus/claims/1000-1099/1020_the_unique_silver_pole_zero_seam_is_compression_specific_and_does_not_lift_to_the_minimal_darlington_relative_matrix.md · wider corpus
• A Six-Dimensional Typed Partial Sewing Realizes the Causal Gram Centre with One Reference Ray and an A₂ Residual Doubletcorpus/claims/1000-1099/1021_a_six_dimensional_typed_partial_sewing_realizes_the_causal_gram_centre_with_one_reference_ray_and_an_a2_residual_doublet.md · wider corpus
• The Gram Centre Is a Maximum-Volume Gaussian Bath, Not a Minimal Environment or Generic Quantum-Entropy Statecorpus/claims/1000-1099/1022_the_gram_centre_is_a_maximum_volume_gaussian_bath_not_a_minimal_environment_or_generic_quantum_entropy_state.md · wider corpus
• The Gaussian Gram Selector Is the H₂(R) Jordan Log-Det Barrier and a Peirce Slice of the Rank-Three Cubiccorpus/claims/1000-1099/1023_the_gaussian_gram_selector_is_the_h2r_jordan_logdet_barrier_and_a_peirce_slice_of_the_rank_three_cubic.md · Edition 3 citation
• Conjugate-Frequency Reality Pairs but Does Not Remove the Imaginary Residual Mode, so Spin(2,3) Is Static or Reciprocalcorpus/claims/1000-1099/1024_conjugate_frequency_reality_pairs_but_does_not_remove_the_imaginary_residual_mode_so_spin23_is_static_or_reciprocal.md · wider corpus
• A Reciprocal Keldysh Kernel Places Noise in H₂(R) While Retarded Response Remains Complex, and FDT Preserves the Splitcorpus/claims/1000-1099/1025_a_reciprocal_keldysh_kernel_places_noise_in_h2r_while_retarded_response_remains_complex_and_fdt_preserves_the_split.md · wider corpus
• The Ungraded Furey Exchange Antiunitary—not the Graded Quaternionic One—Is the Candidate Noise-Reciprocity Selectorcorpus/claims/1000-1099/1026_the_ungraded_furey_exchange_antiunitary_not_the_graded_quaternionic_one_is_the_candidate_noise_reciprocity_selector.md · wider corpus
• The Furey Residual-Current Gate Splits into Linear-Port and Quadratic-Relationship Typings with Different Antiunitary Testscorpus/claims/1000-1099/1027_the_furey_residual_current_gate_splits_into_linear_port_and_quadratic_relationship_typings_with_different_antiunitary_tests.md · wider corpus
• The Proper-Gaussian Wick Map from the XK-Fixed Furey Root Surjects onto Every Positive Residual H₂(R) Covariancecorpus/claims/1000-1099/1028_the_proper_gaussian_wick_map_from_the_xk_fixed_furey_root_surjects_onto_every_positive_residual_h2r_covariance.md · wider corpus
• The Tuned Silver Wick Root Is a Graded Frequency Double Cover Because the Defect Anisotropy Has a Quadratic Zerocorpus/claims/1000-1099/1029_the_tuned_silver_wick_root_is_a_graded_frequency_double_cover_because_the_defect_anisotropy_has_a_quadratic_zero.md · wider corpus
• The Tuned Wick Root Has a Graded Outer Factor but No Rational or Finite-Variance Continuum Realization Without UV Completioncorpus/claims/1000-1099/1030_the_tuned_wick_root_has_a_graded_outer_factor_but_no_rational_or_finite_variance_continuum_realization_without_uv_completion.md · wider corpus
• Anomalous Gaussian Pairing Gives a Two-Antiunitary Wick Surjection but Only for a Neutral Commuting or Nambu Rootcorpus/claims/1000-1099/1031_anomalous_gaussian_pairing_gives_a_two_antiunitary_wick_surjection_but_only_for_a_neutral_commuting_or_nambu_root.md · wider corpus
• Doubling the Carrier Is the Minimal Static/Even-Frequency Two-Antiunitary CAR Pairing Repair and Opposite Copy Charge Makes It Neutralcorpus/claims/1000-1099/1032_doubling_the_carrier_is_the_minimal_two_antiunitary_car_pairing_repair_and_opposite_copy_charge_makes_it_neutral.md · wider corpus
• Odd-Frequency CAR Pairing Reopens the Single Doublet and Limits the Doubled-CAR Minimality to the Static/Even-Frequency Branchcorpus/claims/1000-1099/1033_odd_frequency_car_pairing_reopens_the_single_doublet_and_limits_the_doubled_car_minimality_to_the_static_even_frequency_branch.md · wider corpus
• The Tuned Defects Have an Exact Signed Two-Kernel Odd-Frequency Convolution but No Single Positive Scalar Autocorrelationcorpus/claims/1000-1099/1034_the_tuned_defects_have_an_exact_signed_two_kernel_odd_frequency_convolution_but_no_single_positive_scalar_autocorrelation.md · wider corpus
• The Signed Odd-Frequency Convolution Is Purely Mixed RA/AR and Its Lorentzian Metric Reduces Exactly to the Furey Gradingcorpus/claims/1000-1099/1035_the_signed_odd_frequency_convolution_is_purely_mixed_ra_ar_and_its_lorentzian_metric_reduces_exactly_to_the_furey_grading.md · wider corpus
• After Log-Scale Normalization the Convolution Residue Map Is a Unit Shear Times One Scale Fixed by the Tuned Losscorpus/claims/1000-1099/1036_after_log_scale_normalization_the_convolution_residue_map_is_a_unit_shear_times_one_scale_fixed_by_the_tuned_loss.md · wider corpus
• The Pole-Jet Residue Shear and Furey Grading Close an Exact sl₂ Triple Inside sp₄corpus/claims/1000-1099/1037_the_pole_jet_residue_shear_and_furey_grading_close_an_exact_sl2_triple_inside_sp4_but_the_physical_jordan_idempotent_is_still_untyped.md · wider corpus
• The Pole-Jet (sl₂) Is the TKK Orbit of the Split Jordan Involution (D), Not a Primitive Positive Idempotentcorpus/claims/1000-1099/1038_the_pole_jet_sl2_is_the_tkk_orbit_of_the_split_jordan_involution_D_not_a_primitive_positive_idempotent.md · wider corpus
• The Split-TKK Intertwiner Is a Channel-Controlled Fourier Quarter-Turn Whose Square Is (D), Not the Realified Furey Antiunitarycorpus/claims/1000-1099/1039_the_split_tkk_intertwiner_is_a_channel_controlled_fourier_quarter_turn_whose_square_is_D_not_the_realified_furey_antiunitary.md · wider corpus
• A Positive Projected Oscillator Generates the Controlled-Fourier TKK Intertwiner as a Passive Quarter-Period Boundary Flowcorpus/claims/1000-1099/1040_a_positive_projected_oscillator_generates_the_controlled_fourier_tkk_intertwiner_as_a_passive_quarter_period_boundary_flow.md · wider corpus
• Passivity and the Square Root of D Quantize the Projected-Oscillator Action to a Quarter-Turn Modulo Orientationcorpus/claims/1000-1099/1041_passivity_and_the_square_root_of_D_quantize_the_projected_oscillator_action_to_a_quarter_turn_modulo_orientation.md · wider corpus
• A Quarter-Turn on Every Sewn Edge Obstructs the Six-Cycle Central Holonomy and Generically Doubles the Coherent Covercorpus/claims/1000-1099/1042_a_quarter_turn_on_every_sewn_edge_obstructs_the_six_cycle_central_holonomy_and_generically_doubles_the_coherent_cover.md · wider corpus
• Semilinearity Does Not Repair an All-Edge Quarter-Turn, but a Minimal Same-Face Twist–Antitwist Pair Preserves the Six-Cyclecorpus/claims/1000-1099/1043_semilinearity_does_not_repair_an_all_edge_quarter_turn_but_a_minimal_same_face_twist_antitwist_pair_preserves_the_six_cycle.md · wider corpus
• The Minimal Twist–Antitwist Pair Has Two Chiral Placement Orbits Preserved by the Physical Real Reflectioncorpus/claims/1000-1099/1044_the_minimal_twist_antitwist_pair_has_two_chiral_placement_orbits_preserved_by_the_physical_real_reflection.md · wider corpus
• The Paired-Twist Interval Is Locally Visible as a Quarter-Rotation Between Jordan Correlation and Oriented Areacorpus/claims/1000-1099/1045_the_paired_twist_interval_is_locally_visible_as_a_quarter_rotation_between_jordan_correlation_and_oriented_area.md · wider corpus
• The Oriented Area Is Exactly the Pfaffian Line of the Response Root, but Its Microscopic Weak/Higgs Identification Remains Opencorpus/claims/1000-1099/1046_the_oriented_area_is_exactly_the_pfaffian_line_of_the_response_root_but_its_microscopic_weak_higgs_identification_remains_open.md · Edition 3 citation
• Fixing the Phase Symplectic Orientation Reduces the Gram-Root Gauge to SO(2) and Turns the Pfaffian Sign into a Rank-One-Separated Z2 Sheetcorpus/claims/1000-1099/1047_fixing_the_phase_symplectic_orientation_reduces_the_gram_root_gauge_to_SO2_and_turns_the_pfaffian_sign_into_a_rank_one_separated_Z2_sheet.md · Edition 3 citation
• If the Response Pfaffian Is a BDI Dirac Mass, Then Its Rank-One Wall Binds One Exact Zero Mode, but the Coupling Is Not Yet Derivedcorpus/claims/1000-1099/1048_if_the_response_pfaffian_is_a_BDI_dirac_mass_then_its_rank_one_wall_binds_one_exact_zero_mode_but_the_coupling_is_not_yet_derived.md · wider corpus
• The Minimal Paired Seam Has Zero Total BDI Index, So Its Endpoint Modes Can Hybridize and a Complex Second Mass Removes Sign Protectioncorpus/claims/1000-1099/1049_the_minimal_paired_seam_has_zero_total_BDI_index_so_its_endpoint_modes_can_hybridize_and_a_complex_second_mass_removes_sign_protection.md · wider corpus
• The Two Furey Antiunitaries Protect or Split the Paired-Wall Endpoints According to Their Time-Reversal/Particle-Hole Role Assignmentcorpus/claims/1000-1099/1050_the_two_furey_antiunitaries_protect_or_split_the_paired_wall_endpoints_according_to_their_time_reversal_particle_hole_role_assignment.md · wider corpus
• The Minimal Reciprocal Endpoint Kernel Realizes the CI Furey Role Assignment, but Noise Reciprocity Alone Cannot Exclude DIIIcorpus/claims/1000-1099/1051_the_minimal_reciprocal_endpoint_kernel_realizes_the_CI_furey_role_assignment_but_noise_reciprocity_alone_cannot_exclude_DIII.md · wider corpus
• The Four-Seam Central Sector Remains Eleven Real-Dihedral Orbits, So Placement Symmetry Does Not Select a Sign-Changing Architecturecorpus/claims/1000-1099/1052_the_four_seam_central_sector_remains_eleven_real_dihedral_orbits_so_placement_symmetry_does_not_select_a_sign_changing_architecture.md · wider corpus
• The Explicit Piecewise Pfaffian Kink–Antikink Wall Has Exact Projected Overlap and Realizes the CI Furey Role Assignmentcorpus/claims/1000-1099/1053_the_explicit_piecewise_pfaffian_kink_antikink_wall_has_exact_projected_overlap_and_realizes_the_CI_furey_role_assignment.md · wider corpus
• The Exact Piecewise Pfaffian Kink–Antikink Spectrum Obeys an Implicit Exponential Law and Calibrates the Endpoint Projectioncorpus/claims/1000-1099/1054_the_exact_piecewise_pfaffian_kink_antikink_spectrum_obeys_an_implicit_exponential_law_and_calibrates_the_endpoint_projection.md · wider corpus
• The Odd-Frequency Half-Poles Give a Conditional Wall Spectrum, but the Underived Edge Length Controls Even the Level Orderingcorpus/claims/1000-1099/1055_the_odd_frequency_half_poles_give_a_conditional_wall_spectrum_but_the_underived_edge_length_controls_even_the_level_ordering.md · wider corpus
• The Irrational Silver Half-Pole Ratio Forbids a Common Exact Passive Quarter-Turn Edge Clock but Has Pell Near-Recurrencescorpus/claims/1000-1099/1056_the_irrational_silver_half_pole_ratio_forbids_a_common_exact_passive_quarter_turn_edge_clock_but_has_pell_near_recurrences.md · wider corpus
• The Compact Controlled Turn and Split TKK Dilation Generate a One-Face sl₂ Plus a Commuting Dilation, Not Full sp₄corpus/claims/1000-1099/1057_the_compact_controlled_turn_and_split_tkk_dilation_generate_a_one_face_sl2_plus_a_commuting_dilation_not_full_sp4.md · wider corpus
• A Three-Generator Jordan–Furey Recursion Closes All of sp₄, but Requires the Furey Channel Rotation as a Continuous Flowcorpus/claims/1000-1099/1058_a_three_generator_jordan_furey_recursion_closes_all_of_sp4_but_requires_the_furey_channel_rotation_as_a_continuous_flow.md · Edition 3 citation
• The Linear Furey Product F_Cp Exponentiates Exactly to the Missing Continuous sp₄ Channel Rotation, but Its Action Term Is Opencorpus/claims/1000-1099/1059_the_linear_furey_product_FCp_exponentiates_exactly_to_the_missing_continuous_sp4_channel_rotation_but_its_action_term_is_open.md · Edition 3 citation
• A Positive First-Order Response Pulse Generates the Full Furey Channel Flow Without Bulk Degeneracy but Needs Microscopic Charge Completioncorpus/claims/1000-1099/1060_a_positive_first_order_response_pulse_generates_the_full_furey_channel_flow_without_bulk_degeneracy_but_needs_microscopic_charge_completion.md · Edition 3 citation
• The Minimal Standard-Model-Field Completion of the Furey Channel Pulse Is a Pair of Dimension-Six S₁-Exchange Operators with an Underived Relative Phasecorpus/claims/1000-1099/1061_the_minimal_sm_field_completion_of_the_furey_channel_pulse_is_a_pair_of_dimension_six_S1_exchange_operators_with_an_underived_relative_phase.md · Edition 3 citation
• One S₁ Mediator Cannot Generate a Pure F_Cp Pulse, but Two Orthogonal Copies Realize the Exact Oriented Starcorpus/claims/1000-1099/1062_one_S1_mediator_cannot_generate_a_pure_FCp_pulse_but_two_orthogonal_copies_realize_the_exact_oriented_star.md · Edition 3 citation
• The Doubled Furey Links Do Not Supply Two S₁ Copies, and the Shared QL Leg Radiatively Breaks the Naive Orthogonalitycorpus/claims/1000-1099/1063_the_doubled_furey_links_do_not_supply_two_S1_copies_and_the_shared_QL_leg_radiatively_breaks_the_naive_orthogonality.md · wider corpus
• Full-Rank Generationwise F_Cp Requires at Least Six S₁ Copies, and the Shared Leg Regenerates a 3times3 Forbidden Blockcorpus/claims/1000-1099/1064_full_rank_generationwise_FCp_requires_at_least_six_S1_copies_and_the_shared_leg_regenerates_a_three_by_three_forbidden_block.md · wider corpus
• The One-S₁ Triangle Has Trivial Bargmann Holonomy, but Shared-Leg Mixing Generates a Rephasing-Invariant pi Fluxcorpus/claims/1000-1099/1065_the_one_S1_triangle_has_trivial_Bargmann_holonomy_but_shared_leg_mixing_generates_a_rephasing_invariant_pi_flux.md · wider corpus
• The Wilson pi Flux Is the Nontrivial RP^1 Line Holonomy, but Its Canonical Frame Lift Is Central -I, Not a Pfaffian-Sheet Flipcorpus/claims/1000-1099/1066_the_Wilson_pi_flux_is_the_nontrivial_RP1_line_holonomy_but_its_canonical_frame_lift_is_central_minus_I_not_a_Pfaffian_sheet_flip.md · Edition 3 citation
• The Wilson Rays Become Exactly the A₂ Placement Root System at the Unique Shared-Leg Strength kappa=m^2corpus/claims/1000-1099/1067_the_Wilson_rays_become_exactly_the_A2_placement_root_system_at_the_unique_shared_leg_strength_kappa_equals_m_squared.md · wider corpus
• Placement C₃ Covariance Selects the Wilson A₂ Metric, but the Generic Jordan Log-Det Barrier Selects the Unmixed Point Insteadcorpus/claims/1000-1099/1068_placement_C3_covariance_selects_the_Wilson_A2_metric_but_the_generic_Jordan_logdet_barrier_selects_the_unmixed_point_instead.md · wider corpus
• C₃ Plus a Real Structure Protects the Wilson A₂ Metric, but the Gauge-Conjugate Source Triplet Requires a Graded Liftcorpus/claims/1000-1099/1069_C3_plus_a_Real_structure_protects_the_Wilson_A2_metric_but_the_gauge_conjugate_source_triplet_requires_a_graded_lift.md · wider corpus
• The Physical S₁ Orientation Pattern Is a Zero-Flux Coboundary, So the Placement Six-Cycle Requires the Full Conjugation-Doubled Source Tripletcorpus/claims/1000-1099/1070_the_physical_S1_orientation_pattern_is_a_zero_flux_coboundary_so_the_placement_six_cycle_requires_the_full_conjugation_doubled_source_triplet.md · wider corpus
• The Standard-Model Code Separates the Two S₁–F_Cp Channels into Stabilizer and Logical Sectorscorpus/claims/1000-1099/1071_the_standard_model_code_separates_the_two_S1_FCp_channels_into_stabilizer_and_logical_sectors.md · wider corpus
• Exactly Twelve D₅ Weyl Elements Exchange the Two S₁ Channels, and All Swap the nu^c and e^c Puncturescorpus/claims/1000-1099/1072_exactly_twelve_D5_Weyl_elements_exchange_the_two_S1_channels_and_all_swap_the_nu_c_and_e_c_punctures.md · wider corpus
• The Spin(10) 16 16 10 Clebsch Tensor Supplies the F_Cp Relative Minus, but Also Restores the Third Edge and Diquark Channelscorpus/claims/1000-1099/1073_the_spin10_16_16_10_Clebsch_tensor_supplies_the_FCp_relative_minus_but_also_restores_the_third_edge_and_diquark_channels.md · wider corpus
• Positive Spin(10)-Clebsch-Preserving Copies Can Never Remove the Third Edge, but a Twisted Two-Copy Involution Cancorpus/claims/1000-1099/1074_positive_Spin10_Clebsch_preserving_copies_can_never_remove_the_third_edge_but_a_twisted_two_copy_involution_can.md · Edition 3 citation
• The Unified Vector Triplet Gives Two F_Cp Arms, One Safe Extra and Three Proton-Decay Channels, All with B-L=0corpus/claims/1000-1099/1075_the_unified_vector_triplet_gives_two_FCp_arms_one_safe_extra_and_three_proton_decay_channels_all_with_BminusL_zero.md · Edition 3 citation
• The Proton-Safe Current Projector Exists Only After Breaking the Pati–Salam Colour–Lepton Rootscorpus/claims/1000-1099/1076_the_proton_safe_current_projector_exists_only_after_breaking_the_pati_salam_colour_lepton_roots.md · Edition 3 citation
• Coarse Furey Arrow Incidence Cannot Determine the Represented One-Form or S₁ Copy Numbercorpus/claims/1000-1099/1077_coarse_Furey_arrow_incidence_cannot_determine_the_represented_one_form_or_S1_copy_number.md · wider corpus
• No Minimal Family-Universal Anomaly-Free U(1) Can Protect the Proton-Safe S₁ Source Maskcorpus/claims/1000-1099/1078_no_minimal_family_universal_anomaly_free_U1_can_protect_the_proton_safe_S1_source_mask.md · Edition 3 citation
• NCG Pati–Salam Model C Realizes the Safe Source Split, but Its Minimal Left–Right Pair Still Closes the Wilson Trianglecorpus/claims/1000-1099/1079_NCG_Pati_Salam_Model_C_realizes_the_safe_source_split_but_its_minimal_left_right_pair_still_closes_the_Wilson_triangle.md · Edition 3 citation
• The Complex Pati–Salam Six Has a Gauge-Invariant Pfaffian That Reconnects Leptoquark and Diquark Sources Unless a Phase Grading Forbids Itcorpus/claims/1000-1099/1080_the_complex_Pati_Salam_six_has_a_gauge_invariant_Pfaffian_that_reconnects_leptoquark_and_diquark_sources_unless_a_phase_grading_forbids_it.md · wider corpus
• The Common H Phase Is Broken by the Pati–Salam mathbf10 VEV, but a Rank-One Neutrino Spurion Annihilates the Direct Six-Pfaffian Quarticcorpus/claims/1000-1099/1081_the_common_H_phase_is_broken_by_the_Pati_Salam_ten_vev_but_a_rank_one_neutrino_spurion_annihilates_the_direct_six_Pfaffian_quartic.md · wider corpus
• The Minimal Spectral Pati–Salam Block Graph Forces Cross-Six Mixing to Be Hermitian at Quartic Ordercorpus/claims/1000-1099/1082_the_minimal_spectral_Pati_Salam_block_graph_forces_cross_six_mixing_to_be_Hermitian_at_quartic_order.md · wider corpus
• The First Higher-Spectral Holomorphic Cross-Six Path Occurs at Length Six, but Rank-One Breaking Kills Every Candidate Through Length Eightcorpus/claims/1000-1099/1083_the_first_higher_spectral_holomorphic_cross_six_path_occurs_at_length_six_but_rank_one_breaking_kills_every_candidate_through_length_eight.md · wider corpus
• The Minimal Spectral Graph Has an All-Orders Rank-One Bridge Normal Form That Forbids Holomorphic Cross-Six Mixingcorpus/claims/1000-1099/1084_the_minimal_spectral_graph_has_an_all_orders_rank_one_bridge_normal_form_that_forbids_holomorphic_cross_six_mixing.md · Edition 3 citation
• The Rank-One Spectral Zero Is the Unbroken Colour–Lepton Reflection Ward Sector, but Three-Generation Weak Instantons Make It Nonperturbatively Anomalouscorpus/claims/1000-1099/1085_the_rank_one_spectral_zero_is_the_unbroken_colour_lepton_reflection_Ward_sector_but_three_generation_weak_instantons_make_it_nonperturbatively_anomalous.md · Edition 3 citation
• For an Odd Number of Families, Any Universal Z₂ That Splits Leptoquark from Diquark Triplets Has the Same Mod-Two Weak Anomalycorpus/claims/1000-1099/1086_for_an_odd_number_of_families_any_universal_Z2_that_splits_leptoquark_from_diquark_triplets_has_the_same_mod_two_weak_anomaly.md · Edition 3 citation
• Connected CKM and PMNS Yukawa Graphs Force Any Exact Diagonal Family Z₂ Back to the Universal Anomalous Classcorpus/claims/1000-1099/1087_connected_CKM_and_PMNS_Yukawa_graphs_force_any_exact_diagonal_family_Z2_back_to_the_universal_anomalous_class.md · Edition 3 citation
• Z₉ Is the Minimal Family-Universal Cyclic Lift That Protects Triplet–Companion Mixing, and Its Three-Family Quotient Is Baryon Trialitycorpus/claims/1000-1099/1088_Z9_is_the_minimal_family_universal_cyclic_lift_that_protects_triplet_companion_mixing_and_its_three_family_quotient_is_baryon_triality.md · Edition 3 citation
• The Z₉ Quark-Number Lift Factors Exactly into a Chiral Module Phase Times Pati–Salam B-L, and Its Gauge Quotient Is Baryon Trialitycorpus/claims/1000-1099/1089_the_Z9_quark_number_lift_factors_exactly_into_a_chiral_module_phase_times_Pati_Salam_BminusL_and_its_gauge_quotient_is_baryon_triality.md · Edition 3 citation
• The Prakash–Ramya Qutrit Gate and Z₉ Baryon Triality Share a Ternary Shadow but Are Inequivalent Ninth-Root Liftscorpus/claims/1000-1099/1090_the_Prakash_Ramya_qutrit_gate_and_Z9_baryon_triality_share_a_ternary_shadow_but_are_inequivalent_ninth_root_lifts.md · wider corpus
• The Rank-One Majorana Vacuum Uniquely Selects the 3B Mod-Nine Lift, and Its Four-Sector Operator Closes for Three-Family Unimodularitycorpus/claims/1000-1099/1091_the_rank_one_Majorana_vacuum_uniquely_selects_the_3B_mod9_lift_and_its_four_sector_operator_closes_only_for_three_family_unimodularity.md · wider corpus
• The Z₉ Extension—not Its Naïve Mod-Three Reduction—Realizes Baryon Triality and Matches the Dai–Freed Mod-Nine Anomalycorpus/claims/1000-1099/1092_the_Z9_extension_not_its_naive_mod3_reduction_realizes_baryon_triality_and_matches_the_Dai_Freed_mod9_anomaly.md · Edition 3 citation
• The Order-Nine Operator Is a Gauge-Dressed Component of SU(4)timesZ₃, and the Three-Family Obstruction Moves into Mixed Weak Anomaliescorpus/claims/1000-1099/1093_the_order_nine_operator_is_a_gauge_dressed_component_of_SU4_times_Z3_and_the_three_family_obstruction_moves_into_mixed_weak_anomalies.md · wider corpus
• The Majorana-Vacuum Stabilizer Is the Z₆-Quotiented Standard Model Times a Split Baryon Triality, with the Z₉ Lift Cubing to Colour Centrecorpus/claims/1000-1099/1094_the_Majorana_vacuum_stabilizer_is_the_Z6_quotiented_standard_model_times_a_split_baryon_triality_with_the_Z9_lift_cubing_to_colour_centre.md · Edition 3 citation
• The Anomaly Polynomial Tracks the Mod-Three Shadow of the Pati–Salam Descent, but the Baryon-Triality Mod-Nine Class Is Genuinely Torsionalcorpus/claims/1000-1099/1095_the_anomaly_polynomial_tracks_the_mod3_shadow_of_the_Pati_Salam_descent_but_the_baryon_triality_mod9_class_is_genuinely_torsional.md · wider corpus
• Three Families Admit a Minimal Anomaly-Free Continuous Baryon-Triality Lift, but It Forces a 1+2 Lepton Texture Repaired by a Charge-Three Flavoncorpus/claims/1000-1099/1096_three_families_admit_a_minimal_anomaly_free_continuous_baryon_triality_lift_but_it_forces_a_one_plus_two_lepton_texture_repaired_by_a_charge_three_flavon.md · wider corpus
• The Minimal Continuous Lift Is Hypercharge-Dressed B-3L_i, and Its Three Family Choices Form an A₂ Orbit That Generation-Blind NCG Cannot Selectcorpus/claims/1000-1099/1097_the_minimal_continuous_lift_is_hypercharge_dressed_B_minus_3Li_and_its_three_family_choices_form_an_A2_orbit_that_generation_blind_NCG_cannot_select.md · wider corpus
• The Family B-3L_i Orbit Is Exactly the Trace-Zero Placement A₂ Module, but the Intertwiner Is a Six-Choice Label Torsorcorpus/claims/1000-1099/1098_the_family_B_minus_3Li_orbit_is_exactly_the_trace_zero_placement_A2_module_but_the_intertwiner_is_a_six_choice_label_torsor.md · wider corpus
• The Charged-Lepton Dirac Spectrum Canonically Labels All Three Family Projectors, but Neither Selects One B-3L_i Vertex nor Generates Its Charge-Three Flavoncorpus/claims/1000-1099/1099_the_charged_lepton_Dirac_spectrum_canonically_labels_all_three_family_projectors_but_neither_selects_one_B_minus_3Li_vertex_nor_generates_its_charge_three_flavon.md · wider corpus