TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/MASTER-VARIATION-SOURCE-TYPES-REVIEW.txt
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This bounded excerpt is source evidence; it is not a new proof/checker run.
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000001 | R053. ORIGINAL MASTER VARIATION AND SOURCE TYPES
000002 | 31 October 2026. Source clarification, not a new physical closure.
000003 | 
000004 | 1. Actual notation, not an inferred connection
000005 | tfpt42 preamble.tex:207 defines wspin=varpi_spin. The original symbol
000006 | guide039:188 calls it a spin holonomy WEIGHT entering the geometric package.
000007 | The master orientation002:71-105 lists Stat_{alpha,chi,e,wspin} S=0.
000008 | This notation does not specify a Palatini variation or a normal connection.
000009 | It does not prove that B_rel is independent of those variables either.
000010 | e and chi can be fields. Counting four printed symbols as four scalar
000011 | degrees of freedom would be wrong. A composite B_rel[e,chi,...] can vary
000012 | implicitly; its functional dependence must be obtained from the original.
000013 | 
000014 | 2. Follow the master, without counting the old audit as new progress
000015 | The actual tfpt42 section027:229-338 fixes d*_disc and P_adm BEFORE
000016 | defining M(xi), xi=(alpha,chigeo,delta_ph,rho_vac). Its lexicographic
000017 | barrier is zero on B isomorphic to B_min and infinite elsewhere.
000018 | Its continuous closure proof identifies the sector functionals on that
000019 | retained branch. This is not an additional independent normal H source.
000020 | This scope is ALREADY reviewed in the Atlas findings
000021 | master-functional-presupposes-source-selection and
000022 | alpha-archive-term-provenance-and-master-functional-scope.
000023 | No fresh no-go or completed source derivation is counted here.
000024 | 
000025 | Likewise the operational seed in tfpt45 boundary002:104-147 already
000026 | contains (A_loc,tau,Theta,omega,[u_Sigma],D_coll). Its forward collar
000027 | completion uses that supplied dynamics, state and elliptic generator.
000028 | This is the existing finding operational-seed-is-input, not a new result.
000029 | An absent formula in the inspected passage establishes no corpus-wide
000030 | absence and does NOT imply a horizontally constant B or zero mixed field.
000031 | 
000032 | 3. Keep the two actual source calls distinct
000033 | The archived geometric consumer is K=f D_geo f+B_rel, with B_rel outside
000034 | the congruence. R034/R035/R037/R043/R051/R052 retain their stated scopes.
000035 | The normal B_Ea index and H0(O1) select the stated normal kernel type;
000036 | they do not by themselves evaluate a mixed horizontal field derivative.
000037 | The Wedge-to-96H vertex and existing Yukawa results are retained.
000038 | 
000039 | The ACTIVE tfpt2 section010:303-326 instead prints
000040 |   C_F=P_F C_Sigma P_F,
000041 |   D_ind=log((I-C_F) C_F^-1),
000042 | alongside the carrier correspondence [D_Sigma] tensor_[E8_1] [K_car].
000043 | This actual source route is not required by definition to pass through
000044 | our archived normal B_Ea-to-B_rel reconstruction.
000045 | The exact inverse Fermi reader in v258 is positive existing work. Its
000046 | unexecuted physical forward compression is ALREADY reviewed in
000047 | finding:v258-forward-source-gap-is-reused-not-solved-by-inversion.
000048 | We do not re-run that inverse as a new origin test.
000049 | 
000050 | IMPORTANT: our supplied whole-source H family contains its original
000051 | Yukawa vertex as an input. Its computed two-face G and half-face C are
000052 | not thereby the primitive seam state C_Sigma of the active paper.
000053 | The full G is a projection; the logarithmic reader requires a suitable
000054 | strict contraction on its actual spectral domain. Nor does a normal
000055 | kernel projector automatically equal the physical carrier projector P_F.
000056 | Thus 'only choose P_F and the origin is solved' is not established.
000057 | The existing CURRENT-PAPER-RELATIVE-SOURCE-CALL-REVIEW.txt already records
000058 | this distinction and its full-circle domain. Preserve it.
000059 | 
000060 | 4. Minimum useful original operation
000061 | On the active modular route, obtain the ACTUAL common field-dependent
000062 | seam source and carrier module/isometry from the original correspondence,
000063 | including their state/time/reflection and charge/grading actions.
000064 | Then execute that very compression C_F and ONE nontrivial original field
000065 | variation before reading D_ind. If the isometry moves, transport it too.
000066 | Compare the full known Higgs/Majorana vertex at the same reference and
000067 | normalization; do not infer source selection from agreement of dimensions
000068 | or from inverse-generated C_F. Existing Yukawa values are not refitted.
000069 | 
000070 | On an original route that actually uses the archived normal reduction,
000071 | obtain its normal connection/Phi/symbol family and shared-domain insertion
000072 | into K. The normal geometry and active modular route remain different
000073 | interfaces until the original identifies them. No universal extra gate.
000074 | 
000075 | 5. Counterpart corrections checked by the primary agent
000076 | Missing functional dependence means unknown, not zero. Nontrivial
000077 | transport need not have nonzero curvature. One loop holonomy and the
000078 | kernel off-diagonal jet do not classify the whole operator, its Q block,
000079 | reference or full source. Isospectrality alone is also insufficient.
000080 | 
000081 | For a supplied admissible unitary U, a simultaneous change of frame
000082 | transports K, reference, domains, sources, trace weights and measure.
000083 | Where the traces exist, with W'=U W U*, K'=U K U*,
000084 |   Tr(W' f(K'))=Tr(W f(K)).
000085 | Thus [X,W]=0 is required only when W is HELD FIXED, not when transported.
000086 | With U=I+epsilon X, deltaK=[X,K], delta(nabla)=[X,nabla]=-nabla X.
000087 | This is a covariance identity, not a new Ward/anomaly/RP theorem or a
000088 | proof that an actual unknown field change is a frame transformation.
000089 | Spatially varying chi must retain operator order and actual domains;
000090 | a chain rule commuting a constant chi through K does not cover it.
000091 | A block sum can still share field parameters. Trace additivity alone
000092 | does not imply absence of mixed parameter response.
000093 | 
000094 | 6. Verdict and continuity
000095 | The original-source review sharpens the actual variation and prevents
000096 | false physical conclusions from notation or missing input. It does not
000097 | close F1 or add a completed physical subtask. No new Lean formalization,
000098 | numerical candidate run, checked physical model, or ledger promotion.
000099 | No new counterterm, normal gap, metric, profile, Yukawa or scale choice.
000100 | Full sources and Z[0], Ref/Eta/H0, P/Q mixed terms and Q determinant,
000101 | state/time/RP, word memory, E8/clocks and existing Alpha/Flavor survive.