TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/COLLECTIVE-HIGGS-SOURCE.json
Original file SHA-256: 8da83e0d8f036f914eca595cce7c84193b4b7e4a9bdff75a3e8487d642704a06
Inclusive original lines: 1-84
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 |   "all_passed": true,
000003 |   "checks": {
000004 |     "actual_nonredundant_quark_particle_carrier_dimension36": true,
000005 |     "whole96_original_oneform_derivatives_Hermitian_odd_real": true,
000006 |     "quark_sector_reduces_original_D_and_four_derivatives": true,
000007 |     "actual_boundary_force_derivatives_Hermitian": true,
000008 |     "actual_SU2_intertwines_all_four_Higgs_derivatives": true,
000009 |     "actual_hypercharge_map_has_H_charge_plus_half": true,
000010 |     "all_four_source_derivatives_are_color_singlet": true,
000011 |     "exact_whole_family_commutator_norm_formula": true,
000012 |     "original_direction_spectrum_and_support_8": true,
000013 |     "original_direction_spectrum_and_support_9": true,
000014 |     "original_direction_spectrum_and_support_10": true,
000015 |     "original_direction_spectrum_and_support_11": true,
000016 |     "original_direction_spectrum_and_support_12": true,
000017 |     "given_first_face_C_is_faithful": true,
000018 |     "whole_Gibbs_Hessian_matches_native_source_derivative": true,
000019 |     "collective_Hessian_positive_definite": true,
000020 |     "actual_collective_Legendre_value_equals_relative_entropy": true,
000021 |     "collective_mean_within_proved_ball": true,
000022 |     "actual_original_H_shift_equals_same_single_exponent_source": true,
000023 |     "original_H_to_mean_coordinate_is_invertible_with_required_Jacobian": true,
000024 |     "zero_source_normalization_retains_same_logZ0": true,
000025 |     "actual_ordered_mixed_response_detects_force_noncommutativity": true,
000026 |     "same_given_h_timed_response_conjugation_is_consistent": true,
000027 |     "instantaneous_variance_is_not_Gibbs_source_Hessian": true,
000028 |     "independent_Fock_trace_checks_original_ordered_determinant": true,
000029 |     "independent_Fock_CAR_commutator_identity": true,
000030 |     "independent_Fock_trace_checks_ordered_Wick_covariance": true,
000031 |     "independent_Fock_trace_checks_single_exponent_Gibbs_source": true,
000032 |     "product_exponent_source_differs_from_single_exponent_source": true
000033 |   },
000034 |   "native_input": "v252 seed252 structural control; all four original Ys and MR retained in constructor; quark reduction only for CAR determinant",
000035 |   "quark_modes": 36,
000036 |   "implicit_Fock_dimension": 68719476736,
000037 |   "commutator_hs_squared": 1968.238966710276,
000038 |   "analytic_commutator_hs_squared": 1968.2389667102757,
000039 |   "collective_mean_ball_radius": 25.09648561603111,
000040 |   "log_fermionic_Z0_quark": 57.318713020624486,
000041 |   "original_source_j": [
000042 |     0.1,
000043 |     0.2,
000044 |     0.3,
000045 |     0.4
000046 |   ],
000047 |   "recovered_source_j": [
000048 |     0.09999999999998273,
000049 |     0.1999999999999656,
000050 |     0.2999999999997643,
000051 |     0.3999999999999316
000052 |   ],
000053 |   "H_to_mean_Jacobian_determinant": 20094.078069890544,
000054 |   "W_collective": 7.9500335090956895,
000055 |   "collective_mean": [
000056 |     0.9930514486174649,
000057 |     1.9861028972349297,
000058 |     22.840183318201703,
000059 |     3.9722057944698603
000060 |   ],
000061 |   "Gamma_collective": 0.9874295284614973,
000062 |   "relative_entropy": 0.9874295284614832,
000063 |   "Gibbs_Hessian_eigenvalues": [
000064 |     1.282427595828115,
000065 |     9.93051448617465,
000066 |     9.930514486174657,
000067 |     9.930514486174657
000068 |   ],
000069 |   "instantaneous_radial_variance": 2.5796682256930192,
000070 |   "Gibbs_radial_Hessian": 2.0505939044827164,
000071 |   "ordered_radial_phase_connected": [
000072 |     -8.793313299726435e-15,
000073 |     -0.7955187242405932
000074 |   ],
000075 |   "reversed_connected": [
000076 |     -8.51884751976173e-15,
000077 |     0.7955187242405977
000078 |   ],
000079 |   "given_h_time_point3_connected": [
000080 |     0.8464385019759293,
000081 |     0.14785852616602901
000082 |   ],
000083 |   "scope": "Exact original finite quark force source and collective MEAN effective action; explicit invertible nonlinear H/mean coordinate in given family, not H=force or H=mean. No primitive positive classical H measure, physical time or F1 closure."
000084 | }