TFPT scientific source excerpt Original repository path: experiments/theory-contracts/original-admissible-source-closure-20261025/mobius-zero-mode-rp-results.json Original file SHA-256: f15582e3e800492c208cd7dee83fefd2e81ed73603482c405dc65c8748d5f800 Inclusive original lines: 1-35 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 | "claim": "fixed Pin-minus zero branch fails full CAR OS positivity", 000003 | "conclusion": "The standard linear Clifford reflection exchanges q and q^-1. A constant field phase may rotate a charged one-particle rank-one form, but cancels on the neutral number word; its reflected norm is non-real in both quarter sectors.", 000004 | "convention": "Euclidean skew Dirac is slashD=iD; on f0 it is b*partial_x. The Clifford b cancels in the reflected scalar kernel.", 000005 | "half_interval": "0 < x < 1/2", 000006 | "ratio_of_two_standard_reflected_constants": "I", 000007 | "sectors": [ 000008 | { 000009 | "fixed_sector_under_standard_linear_reflection": false, 000010 | "green_0_minus": "-1/2 - I/2", 000011 | "green_0_plus": "1/2 - I/2", 000012 | "neutral_number_norm_real": false, 000013 | "neutral_number_reflected_norm": "1/2 + I/2", 000014 | "occupation": "1/2 + I/2", 000015 | "occupation_real": false, 000016 | "q": "I", 000017 | "sector": "plus_i", 000018 | "standard_linear_reflection_target_q": "-I", 000019 | "twisted_trace_insertion_z": "I" 000020 | }, 000021 | { 000022 | "fixed_sector_under_standard_linear_reflection": false, 000023 | "green_0_minus": "-1/2 + I/2", 000024 | "green_0_plus": "1/2 + I/2", 000025 | "neutral_number_norm_real": false, 000026 | "neutral_number_reflected_norm": "1/2 - I/2", 000027 | "occupation": "1/2 - I/2", 000028 | "occupation_real": false, 000029 | "q": "-I", 000030 | "sector": "minus_i", 000031 | "standard_linear_reflection_target_q": "I", 000032 | "twisted_trace_insertion_z": "-I" 000033 | } 000034 | ] 000035 | }