TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/seam-joint-source-origin-audit-20261016/MINIMALITY_SELFCONSISTENCY_PROOF.txt
Original file SHA-256: 0db534e0345f8dc1f99a2fba37c22445d1bbeef7257f0b96d8b8fff43dc3689c
Inclusive original lines: 207-244
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.

000207 | 6. E8 and dynamical self-consistency, without changing their meaning
000208 | 
000209 | tfpt_3_e8_audit_bootstrap.tex:12226-12293 selects D5 and the EXTERNAL family
000210 | A3 under the specified familyful, rank-filling E8-glue hypotheses. This can
000211 | select total carrier rank5; it does not select an internal V+W split in E.
000212 | Family rank3 is not the internal negative-block rank by equality of numbers.
000213 | The arithmetic/type distinction is also explicit at
000214 | tfpt_1_architecture_e8.tex:4327-4333: the gcd/lcm identities are exact
000215 | arithmetic while their gauge interpretation is conditional typing.
000216 | 
000217 | origin_theory.tex:669-700 proves a unique attracting direction for a GIVEN
000218 | gapped transport. The quantifier is: for this transport all allowed starts
000219 | converge to its fixed direction. It is not a theorem that only one algebra,
000220 | one sector action or one admissible transport exists. Its master principle
000221 | at1509-1536 labels the physical completion conditional/open. These results
000222 | are preserved rather than used to insert a new source-selection rule.
000223 | 
000224 | 7. Verdict, scope and what has actually been narrowed
000225 | 
000226 | The full requested derivation remains NOT CLOSED. The original proof needs
000227 | the minimal algebra/bimodule fiber classification before its singleton and
000228 | master-functional arguments can select the missing action. The tested
000229 | minimal-rank/primitive-tensor repair fails even at the minimal rank: all four
000230 | splits survive existence/primitivity and the specified trace tests; even
000231 | channel uniqueness leaves(1,4),(3,2),(4,1). Occupancy would force
000232 | the unordered3+2 ranks if independently derived, but its current source proof
000233 | is downstream of those ranks and presupposes the two-block gauge form.
000234 | 
000235 | No assertion is made that these algebraic examples are full admissible seeds,
000236 | have equal complete S1 defect vectors, share the actual bosonic boundary
000237 | operator, or satisfy ALL original physical self-consistency conditions. Their
000238 | role is to disprove the identified finite implication, not the whole theory.
000239 | No new selection rule, physical field algebra, actual vertex or fitted
000240 | Yukawa is supplied. No ledger, original verification source or paper changed.
000241 | 
000242 | Certificate: minimality_selfconsistency.py and its exact JSON output.
000243 | The source-dependency audit and the new minimum-rank tensor argument received
000244 | independent read-only mathematical review with these same qualifications.