TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/RECOVERED-ORIGINAL-RESOLVENT-AND-WORD-READOUT.txt Original file SHA-256: d44c6f0172c5030a7b84056849a61d74d70346fed35b933a5f2bd919763d9d26 Inclusive original lines: 1-51 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 | RECOVERED ORIGINAL MONODROMY READOUT AND PINNED WORD TABLE 000002 | 30 October 2026. Reuse of old results, not a new physical selector. 000003 | 000004 | The exact original source documents/tfpt_research_contracts/sections/ 000005 | 006-source.tex:236-241 explicitly records that the older geodesic/word 000006 | dictionary's VALUES were closed by v118 using resolvent determinants, 000007 | where the earlier diagonal-dressing guess had failed. Its248-258 also 000008 | records the closed finite harmonic metric and the conditional discrete 000009 | selector stratum. Do not reopen a general missing Hitchin PDE there. 000010 | The harmonic-bundle Phi=0 in that statement is not the weak Higgs field. 000011 | 000012 | The actual v118_hexagon_family_dictionary.run:54-138 reads the SAME 000013 | literal M0 and U now reached by the actual Fuchs/PQ transport. It proves 000014 | det(I-t M0)=1-t^3, 000015 | det(I-M0/2)=7/8, det(I+M0/2)=9/8, 000016 | c_e=4/[2det(I-M0/2)]=16/7, 000017 | c_mu=3/[2det(I+M0/2)]=4/3, 000018 | c_tau=4det(I-M0/2)/3=7/6. 000019 | The native coefficient1/2 is |M0_22| in its printed one-based indexing. 000020 | This older evaluation is at t=1/2. It is not a justification for replacing 000021 | the later original delta_ph=0.593277... by1/2 or mixing parameter meanings. 000022 | Its determinant operation remains valid for arbitrary declared t. 000023 | 000024 | v118 itself leaves its address assignment as the older supplied v20 input. 000025 | The later original ledger FLAV.H2.04, status_ledger.csv:205, records the 000026 | stronger v121_address_pinning.py census: 000027 | R=[[1,3,0],[1,5,2],[2,5,3]], 000028 | row sums=(4,8,10), column sums=(4,13,5), entries in{0,...,5}. 000029 | There are exactly17 such matrices. Their17 determinants are all distinct, 000030 | and only R has determinant8. Hence under THOSE original margins and 000031 | determinant, the nine addresses are pinned; they are not nine free fits. 000032 | L=R+6 times the first-column indicator gives 000033 | [[7,3,0],[7,5,2],[8,5,3]], 000034 | the old exact word lengths. Root independently enumerated the17 candidates 000035 | using four free entries and the linear margins, without assuming R. 000036 | ROOT-RECOVERED-V118-V121-READOUT-CHECK.json records all six checks as true. 000037 | 000038 | The ledger explicitly retains the physical origin of the atom margins and 000039 | rank determinant as its remaining premise question. Numerical equalities 000040 | with e1,rankE8,p3,DeltaQ,g_car are not by themselves a physical map. 000041 | The old scalar resolvent proof is not the entire modern matrix Yukawa 000042 | operator, nor a substitute for carrying actual open endpoints and Pstr. 000043 | Likewise, actual pair/source mass programs retain their explicitly supplied 000044 | Yukawa/heavy tensor data; no new original generation is inferred by naming 000045 | the older theorem. What is recovered is the concrete positive readout and 000046 | the correctly smaller residual question, not nine missing integer choices. 000047 | 000048 | NEXT USE 000049 | Reuse the actual transport-to-resolvent map and pinned-word theorem in the 000050 | whole original HolK/Y/WEDGE/Sadm caller. No arbitrary address policy, 000051 | scalar-conjugacy scan, new harmonic PDE or Hardy=entireY axiom is needed.