TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/automatic_identification/SEARCH-REVIEW.txt
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000001 | EXACT AUTOMATIC IDENTIFICATION: THE NEXT ORIGINAL OPERATOR CONTRACT
000002 | 29 October 2026. Graph-first software/source review and two small direct
000003 | applications of EXISTING functions. No new harness, suite, Atlas mutation,
000004 | genetic fit, invented P1 moment oracle or physical-source promotion.
000005 | 
000006 | RECOMMENDATION
000007 | Use the existing exact joint-intertwiner solver on the common ORIGINAL
000008 | gauge/grading/time/Higgs insertion tuple, after restriction to a proved
000009 | reducing coefficient block. Search a map of this entire operator algebra,
000010 | not another fit to its free covariance. The associated common insertion-word
000011 | hull gives the smallest relevant coefficient space and the next discriminating
000012 | operator. The new direct application below shows why it matters: fixed
000013 | backgrounds each reach dimension4, but shared original insertion words reach
000014 | the entire lepton8 by word depth3. The actual coupling reduces six gauge
000015 | phase freedoms to one common phase.
000016 | 
000017 | 1. Existing software actually capable of this check
000018 | 
000019 | experiments/theory-contracts/seam-constructive-search-20261015/
000020 | operator_synthesis/intertwiner_search.py:
000021 |   load_problem:49-70 reads entire exact operator pairs and automatically adds
000022 |     adjoints. It rejects a supplied target_map.
000023 |   equation:73-78 forms X A-B X or X conjugate(A)-B X exactly over Q(i).
000024 |   restrict:81-87 computes the simultaneous kernel.
000025 |   solve_branch:121-189 learns violated complete relations, finishes ALL
000026 |     constraints before claiming the solution-space dimension, and supplies
000027 |     the polar normalization argument on the adjoint-closed algebra.
000028 |   run:192-200 is the actual existing entry point used here.
000029 | The generic implementation accepts equal dimensions <=16. The code's
000030 | suggestion of a larger CAR word solver does not mean arbitrary 96-dimensional
000031 | coupled source synthesis is implemented: clifford_search.py uses a specific
000032 | 32-dimensional five-mode Clifford-word grammar, not the full v252 problem.
000033 | 
000034 | For simultaneous linear/antilinear operations, their TYPES must remain
000035 | explicit. A condition U J=J' U for antiunitary J contains conjugate(U);
000036 | putting only J's matrix coefficient among ordinary linear pairs is wrong.
000037 | An 8-complex-dimensional block can be realified to dimension16, including
000038 | its complex-structure matrix and real-linear J matrix, within the present
000039 | solver's cap. The independent fixed graded field/R/GNS dictionary then lifts
000040 | a correctly typed coefficient map; it need not be searched again on an
000041 | exponentially large Fock space. No such J-realification run is claimed here.
000042 | 
000043 | Existing auxiliary exact function reused:
000044 | experiments/theory-contracts/systematic-origin-audit-20260912/
000045 | dynamical-refinement/hull.py:krylov,43-44.
000046 | It forms [C,hC,...,h^(count-1)C]. Only this generic exact matrix helper was
000047 | called; its unrelated conditional Bell-chain model was not run or adopted.
000048 | 
000049 | 2. Actual original data used, with no new model class
000050 | 
000051 | The imported constructor is verification/v252_full_finite_triple.py:
000052 |   full_D:102-116, grading:119-121, Kswap:124-128, rep:139-168.
000053 | Import used importlib without run(), with verification on sys.path.
000054 | The already existing integer control is from
000055 | elliptic-moebius-source-bridge-20261026/fermionic_source_type_20261029/
000056 | check_finite_fermion_type.py:70-72:
000057 |   Yu=diag(11,13,17), Yd=diag(19,23,29), Ye=diag(31,37,41),
000058 |   Ynu=diag(1,2,3), MR=diag(1,4,9).
000059 | These are constructor diagnostics, NOT derived physical flavor values.
000060 | 
000061 | The exact Gaussian-integer converter and original insertion construction
000062 | are reused from ../original_insertions/check_original_insertions.py:19-26,
000063 | 60-82. No float-to-rational fit is allowed by that converter.
000064 | 
000065 | All matrices are first built on the full actual 96-dimensional coefficient.
000066 | The chosen generation0 lepton block has original indices
000067 |   [0,1,2,3,48,49,50,51],
000068 | in order nu_L,nu_R,e_L,e_R and their antiparticles. The off-block residual
000069 | (I-P P^*) A P was checked EXACTLY zero for every retained original operator.
000070 | Thus the 8-dimensional restriction is reducing for THESE diagonal inputs;
000071 | it is not a compression of a leaking three-generation source.
000072 | 
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000084 | 
000085 | 3. Direct existing-path results
000086 | 
000087 | The two JSON inputs give source=target operator pairs. This deliberately
000088 | asks for the remaining automorphisms of the actual tuple, NOT a claimed
000089 | identification with a missing independent P1 target. Running the existing
000090 | solver gives, for its LINEAR branch:
000091 |   gauge + grading: exact intertwiner space dimension6;
000092 |   gauge + grading + actual h + four actual Higgs images: dimension1.
000093 | A separate exact restrict() call confirms that adding just actual h to the
000094 | whole gauge/grading tuple already gives dimension1. Thus a SINGLE extra
000095 | original coupling generator suffices relative to that baseline. The unitary
000096 | automorphisms shrink from six irrep phases to a common overall phase.
000097 | Additional source J/mark constraints must be imposed with their actual types
000098 | before any stronger uniqueness statement is made.
000099 | 
000100 | The formal antlinear same-label branch returns full_rank_search_inconclusive
000101 | for the gauge-only tuple (kernel dimension4), and no_nonzero_intertwiner for
000102 | the coupled tuple. This is only the specified X conjugate(A)=A X problem.
000103 | Physical J may reverse generators, grades or backgrounds. These formal
000104 | branch verdicts are NOT new exclusions of the actual J/R transport.
000105 | 
000106 | An immediate exact discriminator can be read from those same real matrices.
000107 | Let e be the neutral antiparticle nu_R coefficient of this block and
000108 | U=I-2 e e^*. This unitary passes every retained gauge and grading relation.
000109 | The actual h relation fails at block entry(row1,column5), with residual2i.
000110 | Every one of the four original Higgs images also detects it. The stored
000111 | joint-word-results.json contains their first nonzero matrix entries.
000112 | This is a source-operator counterexample to a proposed field-map freedom,
000113 | not an asserted physical P1 expectation value.
000114 | 
000115 | 4. The important NEW shared-insertion result
000116 | 
000117 | From the same neutral coefficient e, the existing exact krylov() helper gives
000118 |   dim span{h^k e}=4,
000119 |   dim span{(h+h_q)^k e}=4 for each of the four fixed q backgrounds.
000120 | It would be wrong to infer that all common source responses therefore live
000121 | in one fixed four-dimensional space. Closing under the actual separate
000122 | generators h,h_0,h_1,h_2,h_3 produces the exact dimension sequence
000123 |   1 -> 4 -> 7 -> 8 -> 8.
000124 | Each step permits ONE more original insertion/generator in the word.
000125 | Thus words of depth3 already reach the WHOLE proved lepton8 coefficient
000126 | block; the next step certifies closure. This is an ordered common operator
000127 | image, not a selection of a new Hamiltonian or a state-preparation rule.
000128 | 
000129 | The precise interpretation is coefficient-level reachability and time jets.
000130 | e is a test/source vector, not an invented physical vacuum. These inner
000131 | products are not the missing P1 Schwinger moments. Common time/insertion
000132 | responses can distinguish operator maps which static or single-background
000133 | data leave ambiguous. The result is limited to the specified reducing input
000134 | block; a mixing three-generation source needs its own full calculation.
000135 | 
000136 | 5. Best next exact search contract and two alternatives
000137 | 
000138 | BEST: Supply two INDEPENDENTLY ORIGINAL operator tuples, their complex/real
000139 | types, and solve the common gauge/grading/h/Higgs intertwiner problem with
000140 | the existing run() path. Current v252 matrices and source one-forms give one
000141 | side. The other must be actual images of the old source/operational Seed
000142 | insertions. In particular target_Phi=W Phi W^* manufactured from the desired
000143 | W would be a coordinate check, not an origin derivation. The new Wedge and
000144 | graded field dictionaries define the required types and label tests; they
000145 | do not silently supply the missing independent physical insertion image.
000146 | Success is one isometric common map with exact residuals and the already
000147 | proved induced CAR/products/R/time transport in the correct source scope.
000148 | A zero intertwiner kernel gives a finite, labelled conflict; a bounded
000149 | failed coefficient attempt remains inconclusive. No fitted covariance is
000150 | used as a substitute for that input.
000151 | 
000152 | ALTERNATIVE A: Use the common insertion-word hull to choose the smallest
000153 | discriminating original response, rather than requesting all moments again.
000154 | Here word depth3 gives a spanning coefficient basis. Its true Gram entries
000155 | and one-generator matrix elements determine this finite representation up to
000156 | unitary coordinates. Entries from independently derived P1 source insertions
000157 | would therefore be decisive. Substituting this diagnostic coefficient Gram
000158 | as those unknown physical values would again be an oracle and is not done.
000159 | 
000160 | ALTERNATIVE B: The existing observability_closure() in
000161 | minimal-runtime-reconstruction-20261005/ur_lib.py:156-171 can close a set of
000162 | effects under GIVEN Kraus channels. It is not the best source-origin route
000163 | here: selecting new Kraus maps to force the answer would add precisely the
000164 | unproved dynamics. Its use becomes appropriate only after actual source
000165 | channels and effects have been identified. No such free channel was chosen.
000166 | 
000167 | Genetic search is unnecessary for the current exact linear/antilinear matrix
000168 | problem. A genetic program search would need a new, ORIGINAL admissible
000169 | nonlinear field grammar and an independent verifier; repeating forbidden NS
000170 | composites or the known kinetic no-go supplies neither. The concrete new
000171 | work is the common coupled operator contract and its discrimination above.
000172 | 
000173 | 6. Outputs and limitations
000174 | 
000175 | This directory contains:
000176 |   gauge_grading-input.json / gauge_grading-result.json;
000177 |   coupled_higgs-input.json / coupled_higgs-result.json;
000178 |   direct-results.json / joint-word-results.json.
000179 | The persisted inputs are consumed by the unchanged existing solver run().
000180 | No new harness was installed and no existing Python source was changed.
000181 | The old positive-kernel/faithful-GNS calibrations were not rerun.
000182 | The present computations do not recover the full missing P1 source, its
000183 | physical field measure, the original nonlinear bosonic dynamics, all three
000184 | mixed families or the eight TOE gates. Their concrete contribution is a
000185 | smaller exact target for the next true insertion identification, with an
000186 | executed coupled-source test and an actual minimal new operator constraint.