TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/COMPACT-REAL-SIX-ADJOINT-CLOSURE-ADDENDUM.txt
Original file SHA-256: ff97948f5aed5786feb29ee665a092e25b6262d2cf9977536ec96bf723250147
Inclusive original lines: 201-283
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This bounded excerpt is source evidence; it is not a new proof/checker run.
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000201 | the original normal reduction. No new tangent direction is needed for
000202 | (9).
000203 | 
000204 | What has not been derived is the complete source projection or evaluation
000205 | that sends this particular trace class form response into a particular
000206 | slot of Phi in (8), with its carrier map, domain and normalization. The
000207 | normal Clifford channel in (9) is necessary data for that comparison,
000208 | but it does not select the finite coefficient by itself.
000209 | 
000210 | If the input fields are separately interpreted as four dimensional Weyl
000211 | matter, their external Lorentz contraction and fermionic statistics must
000212 | also be checked. The internal Spin(10) symmetry in (2a) does not by itself
000213 | specify that external contraction. That conditional test cannot be used
000214 | to reject the present internal current, curve or seam geometry.
000215 | Conversely, the compact real E8 current closure does not prove the four
000216 | dimensional scalar interpretation.
000217 | 
000218 | 
000219 | 6. REVISED BOUNDARY
000220 | 
000221 | Established here:
000222 | 
000223 |   * the actual compact dagger maps the three holomorphic family pairs to
000224 |     the three complementary pairs in all 60 exact bracket identities;
000225 |   * this map is the canonical antilinear Hodge reality on Lambda^2 Kfam;
000226 |   * the resulting selfadjoint current has the full six real family
000227 |     components without an additional O-valued fermion input;
000228 |   * the reality is exact under the original quarter and all 60 native
000229 |     SU4 event actions;
000230 |   * the whole finite 96 source already retains adjoint and conjugate
000231 |     blocks once a finite coefficient is specified.
000232 | 
000233 | Still open and not replaced by this result:
000234 | 
000235 |   * six independent complex holomorphic components from two triplet
000236 |     inputs;
000237 |   * the typed map from the actual geometric q/p product, including its
000238 |     D5 carrier coefficient, to the existing Y_i,ab current;
000239 |   * the original normal or source projection from that current or form
000240 |     response into the particular finite Phi slot;
000241 |   * any four dimensional Lorentz scalar, Higgs, state selection or
000242 |     physical response claim.
000243 | 
000244 | The smallest next test is consequently the existing source evaluation
000245 | at the interface
000246 | 
000247 |   geometric mu_ab and carrier coefficient
000248 |       -> actual current Y_i,ab
000249 |       -> original c(dz) normal reduction
000250 |       -> specified Phi block,                                      (10)
000251 | 
000252 | not the insertion of a new O fermion and not a new six dimensional
000253 | representation.
000254 | 
000255 | 
000256 | TARGETED REPLAY AND INDEPENDENT EXACT AUDIT
000257 | 
000258 |   tfpt_explorer/tests/test_joint_charged_source.py::
000259 |     test_original_joint_current_algebra_and_full_signature_are_closed
000260 |   tfpt_explorer/tests/test_joint_charged_source.py::
000261 |     test_compact_dagger_sign_has_an_actual_source_negative_control
000262 | 
000263 | Both targeted tests pass. The independent exact audit additionally checks
000264 | 60 dagger bracket identities, star^2=1, zero quarter residual rank and all
000265 | 60 native SU4 Hodge covariance identities, with zero failures. The
000266 | targeted Spin(10) calculation also passes all 112 Clifford, chirality,
000267 | charge conjugation and bilinear symmetry checks.
000268 | 
000269 | 
000270 | SOURCES READ
000271 | 
000272 |   tfpt_explorer/current_block_geometry.py
000273 |   tfpt_explorer/tests/test_joint_charged_source.py
000274 |   experiments/theory-contracts/compiler-current-product-20260919/
000275 |     current_bracket_dictionary.py
000276 |     PROOF.txt
000277 |   experiments/theory-contracts/universalraum-fugen-20260914/checker.py
000278 |   experiments/theory-contracts/tfpt-unified-source-derivation-20261029/
000279 |     aps_source_review/OFFDIAGONAL-K-E8-PRODUCT-TEST.txt
000280 |     aps_source_review/SPIN-PRODUCT-BOUNDARY-WEIGHT-REVIEW.txt
000281 |     aps_source_review/F5-QP-REVERSE-HOM-KERNEL-REVIEW.txt
000282 |   verification/v252_full_finite_triple.py
000283 |