TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/EXACT-CUTOFF-HIGGS-MEASURE.json Original file SHA-256: 85b3d9ee4820a6d0f1db8bb35c3fbf56b1808e2841252df910ebf9bae8253391 Inclusive original lines: 1-70 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 | "native96_Hermitian_0": true, 000005 | "whole96_heat_trace_bounded_0": true, 000006 | "whole96_even_Poisson_trace_bounded_0": true, 000007 | "native96_Hermitian_1": true, 000008 | "whole96_heat_trace_bounded_1": true, 000009 | "whole96_even_Poisson_trace_bounded_1": true, 000010 | "native96_Hermitian_2": true, 000011 | "whole96_heat_trace_bounded_2": true, 000012 | "whole96_even_Poisson_trace_bounded_2": true, 000013 | "native96_Hermitian_3": true, 000014 | "whole96_heat_trace_bounded_3": true, 000015 | "whole96_even_Poisson_trace_bounded_3": true, 000016 | "native96_Hermitian_4": true, 000017 | "whole96_heat_trace_bounded_4": true, 000018 | "whole96_even_Poisson_trace_bounded_4": true, 000019 | "native96_Hermitian_5": true, 000020 | "whole96_heat_trace_bounded_5": true, 000021 | "whole96_even_Poisson_trace_bounded_5": true, 000022 | "nontrivial_native96_radial_response": true, 000023 | "exact_regulated_flat_C2_partition": true, 000024 | "exact_regulated_flat_ball_mass": true, 000025 | "bounded_ball_mass_lost_at_zero_regulator": true, 000026 | "ball_mass_leading_coefficient": true, 000027 | "flat_partition_diverges": true, 000028 | "radial_H2_moment_diverges": true, 000029 | "cone_radial_primitive_derivative": true, 000030 | "cone_radial_integral_diverges": true, 000031 | "quartic_truncation_not_exact_large_amplitude": true, 000032 | "odd_moment_can_vanish_despite_escape": true, 000033 | "constant_normalized_observable_converges": true 000034 | }, 000035 | "details": { 000036 | "native96_controls": [ 000037 | { 000038 | "radius": 0.0, 000039 | "heat": 86.55455780365352, 000040 | "even_Poisson": 71.91332964420153 000041 | }, 000042 | { 000043 | "radius": 1.0, 000044 | "heat": 27.5904874651292, 000045 | "even_Poisson": 28.933499233990297 000046 | }, 000047 | { 000048 | "radius": 2.0, 000049 | "heat": 18.169410918700947, 000050 | "even_Poisson": 17.380291330941773 000051 | }, 000052 | { 000053 | "radius": 4.0, 000054 | "heat": 10.10088845458483, 000055 | "even_Poisson": 10.061491315693836 000056 | }, 000057 | { 000058 | "radius": 16.0, 000059 | "heat": 0.12709903300326447, 000060 | "even_Poisson": 1.4497933484991092 000061 | }, 000062 | { 000063 | "radius": 64.0, 000064 | "heat": 7.686140657203605e-31, 000065 | "even_Poisson": 0.0025034303557697015 000066 | } 000067 | ] 000068 | }, 000069 | "scope": "Fixed-rank bounded cutoff and ordinary noncompact C2 volume only; no actual physical measure selection, no continuum/no-go claim, no new Lean" 000070 | }