TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/COMMON-CURVATURE-RESPONSE.json
Original file SHA-256: 147b7e9f2b64000195251373227b9c222098dfa69f02bc95f462ad86a0439fb3
Inclusive original lines: 1-48
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
Conversation metadata and personal execution details are omitted where indicated.

000001 | {
000002 |   "contract": "COMMON-CURVATURE-RESPONSE-20261031",
000003 |   "all_passed": true,
000004 |   "checks": {
000005 |     "same_full_Euclidean_Spin4_Clifford_algebra": true,
000006 |     "whole20_curvature_basis_obeys_all_Bianchi_identities": true,
000007 |     "whole20_curvature_basis_is_independent": true,
000008 |     "whole_polarized_spin_connection_curvature_identity": true,
000009 |     "full_spin_gravity_polynomial": true,
000010 |     "whole_invariant_dictionary_has_no_independent_R_squared": true,
000011 |     "same_geometry_rank_reference_cancels_full_pure_a4_gravity": true,
000012 |     "conformally_flat_constant_curvature_can_mislead_R_squared_fit": true,
000013 |     "original_entropic_whole_curvature_trace_is_3R": true,
000014 |     "original_entropic_whole_polarized_square_trace": true,
000015 |     "entropic_full_independent_invariant_coefficients": true,
000016 |     "entropic_maximally_symmetric_17_over24_is_retained": true,
000017 |     "independent_all_momenta_scalar_response_is_5_over3_R_squared": true,
000018 |     "scalar_plane_wave_Euler_piece_is_pure_boundary": true,
000019 |     "same_original_entropic_Einstein_pin": true,
000020 |     "full_quadratic_scalar_coefficient_scale": true,
000021 |     "old_max_symmetric_mass_ratio_is_not_full_scalar_coefficient": true,
000022 |     "full_entropic_to_existing_TFPT_scale_mismatch": true,
000023 |     "given_whole_Higgs_stationary_branch": true,
000024 |     "whole_Higgs_algebraic_curvature_susceptibility": true,
000025 |     "induced_local_R_squared_from_given_Higgs": true,
000026 |     "original_Higgs_radial_mass_squared": true,
000027 |     "actual_mixed_curvature_radial_vertex": true,
000028 |     "whole_quadratic_response_keeps_radial_propagator": true,
000029 |     "same_low_momentum_R_squared_from_own_radial_pole": true,
000030 |     "Poisson_original_Higgs_radial_mass": true,
000031 |     "whole_quadratic_source_retains_shifted_mean": true,
000032 |     "whole_quadratic_source_retains_covariance": true,
000033 |     "absolute_zero_source_weight_retains_determinant": true
000034 |   },
000035 |   "values": {
000036 |     "pure_spin_a4_numerator": "5*N*R**2 - 8*N*Ric2 - 7*N*Riem2",
000037 |     "invariant_form": "N(11Euler-18Weyl\u00b2), no independentR\u00b2",
000038 |     "whole_algebraic_curvature_space_dimension": 20,
000039 |     "polarized_identity_entries": 400,
000040 |     "original_entropic_invariants": "beta\u00b2(5R\u00b2/6+5Weyl\u00b2/4-3Euler/4)",
000041 |     "original_entropic_full_scalar_mass_squared": "1152*pi**2*Mbar**2/5",
000042 |     "original_entropic_original_max_symmetric_mass_squared": "4608*pi**2*Mbar**2/17",
000043 |     "original_entropic_required_enhancement": "2415919104*pi**9/5",
000044 |     "Higgs_local_R_squared": "-A**2*d/(1152*pi**2*B)",
000045 |     "Higgs_nonlocal_response": "-xi\u00b2v\u00b2 R(-Delta+m_rad\u00b2)^-1R",
000046 |     "scope": "Existing conditional ordinary Spin4x96 Dirac consumer and separate original v475 entropic vacuum functional, never identified with each other. Closed/interior geometry, actual matching reference. Entropic mass parameter follows its quadratic metric matching, not complete Lorentzian/RP/measure theorem. Higgs response is fixed-background tree/quadratic stationary branch, not full H integration or new scalaron/physical prediction. Retain determinant, higher vertices, source and Z0."
000047 |   }
000048 | }