TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/C6-WHOLE-WORD-PRODUCER-REVIEW.txt Original file SHA-256: 4a084232ccf0ddddeb4240461a6df80969f7c9807741df9ca874a3dd3b57b82c Inclusive original lines: 1-76 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 | R076. INDEPENDENT REVIEW AND ACTUAL PROVIDER RECORD. 1 November2026. 000002 | 000003 | Scope: exact canonical whole-word expansion of the original bare C6 000004 | operator and its half-power. No primitive physical source law selected. 000005 | F1 remains in progress. F1.M38 records only this mathematical component. 000006 | No new Lean, full verification suite, ledger or physical validation. 000007 | 000008 | Own checker check_c6_whole_word_producer.py ran under -B -OO and returned 000009 | PASS57. Calls unchanged original verification/v17_hexagonal_resolvent.py 000010 | U6_power,actual algebraic delta and all three original cusps,epsilon0. 000011 | Literal ordered words/split positions,whole endpoint/closed counts,actual 000012 | Gram edge derivative,normalized versus absolute homogeneous delta score, 000013 | all-length series and explicit remainder are checked. Direct Fourier 000014 | spectrum,old cubic Green and four-point square-root interpolation agree. 000015 | Whole original delta derivative and determinant loop series independently 000016 | agree with spectrum under explicit tail bounds. Infinite claims are the 000017 | analytic binomial/Vandermonde proof,not57 finite checks. Maximum replay 000018 | 13942 terms;normalized tail below1e-40,not2^13942 individual paths. 000019 | 000020 | Primary identity:official NIST DLMF15.4.E6 read online. Original EM3/EM5 000021 | operators,cusp/phase branch and EM4 Hol K consumer read by hash-validated 000022 | Atlas handles. Old C6 Gram/inverse/variation and R075 weight/source audit 000023 | are reused,not new results. No new y,delta,Yukawa or physical source fit. 000024 | 000025 | [OMITTED: non-scientific conversation or execution metadata] 000026 | [OMITTED: non-scientific conversation or execution metadata] 000027 | [OMITTED: non-scientific conversation or execution metadata] 000028 | [OMITTED: non-scientific conversation or execution metadata] 000029 | [OMITTED: non-scientific conversation or execution metadata] 000030 | [OMITTED: non-scientific conversation or execution metadata] 000031 | [OMITTED: non-scientific conversation or execution metadata] 000032 | 000033 | [OMITTED: non-scientific conversation or execution metadata] 000034 | [OMITTED: non-scientific conversation or execution metadata] 000035 | [OMITTED: non-scientific conversation or execution metadata] 000036 | [OMITTED: non-scientific conversation or execution metadata] 000037 | [OMITTED: non-scientific conversation or execution metadata] 000038 | [OMITTED: non-scientific conversation or execution metadata] 000039 | [OMITTED: non-scientific conversation or execution metadata] 000040 | [OMITTED: non-scientific conversation or execution metadata] 000041 | [OMITTED: non-scientific conversation or execution metadata] 000042 | [OMITTED: non-scientific conversation or execution metadata] 000043 | [OMITTED: non-scientific conversation or execution metadata] 000044 | [OMITTED: non-scientific conversation or execution metadata] 000045 | 000046 | [OMITTED: non-scientific conversation or execution metadata] 000047 | [OMITTED: non-scientific conversation or execution metadata] 000048 | [OMITTED: non-scientific conversation or execution metadata] 000049 | [OMITTED: non-scientific conversation or execution metadata] 000050 | [OMITTED: non-scientific conversation or execution metadata] 000051 | [OMITTED: non-scientific conversation or execution metadata] 000052 | [OMITTED: non-scientific conversation or execution metadata] 000053 | [OMITTED: non-scientific conversation or execution metadata] 000054 | [OMITTED: non-scientific conversation or execution metadata] 000055 | [OMITTED: non-scientific conversation or execution metadata] 000056 | [OMITTED: non-scientific conversation or execution metadata] 000057 | [OMITTED: non-scientific conversation or execution metadata] 000058 | [OMITTED: non-scientific conversation or execution metadata] 000059 | 000060 | [OMITTED: non-scientific conversation or execution metadata] 000061 | [OMITTED: non-scientific conversation or execution metadata] 000062 | [OMITTED: non-scientific conversation or execution metadata] 000063 | [OMITTED: non-scientific conversation or execution metadata] 000064 | [OMITTED: non-scientific conversation or execution metadata] 000065 | [OMITTED: non-scientific conversation or execution metadata] 000066 | [OMITTED: non-scientific conversation or execution metadata] 000067 | 000068 | All three final replies preserve whole-word versus endpoint distinction. 000069 | Independent mathematical checks here,not model agreement,carry result. 000070 | Keep bare endpoint compression distinct from functional calculus of the 000071 | original compressed Gram;transfer requires actual reduction or proof. 000072 | Neither internal6 labels,length n nor exponent nu is physical spacetime. 000073 | No new Gaussian source,statistics,measure,selector or stepwise projection. 000074 | Whole source/Z0/Ref/Eta/H0,R035/R037/R043,State/Time/RP,memory,E8/clocks, 000075 | Yukawa/flavor/alpha preserved. Next actual original marked field/coupling 000076 | consumer must be executed using now fully known component coefficients.