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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Conditional result

Full creator relations resolve the fixed free two-mode control

In the question: Automated construction of operator maps and sources

Fixed free particle-hole control before Higgs integration with supplied full one-particle action and vacuum normalization; no derivation of the interacting original whole source or uniqueness across the general search space.

Read the exact result, assumptions and evidence

Result

In the given four-dimensional Fock representation, vacuum normalization and both full creator relations T a_i†=r_i a_i† T for r=(1/4,1/64) uniquely imply T=diag(1,1/4,1/64,1/256). The previous exact x=0 countercandidate violates two of the 32 basis-word relations. The existing m=2 moment search returns numerical extrema 0.0039062495971 and 0.0039062519290, not exact numerical certificates. The free multiparticle law was already known; its use as a source relation against the R085 countercandidate is new.

Required assumptions

  • Do not identify source types

    Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.

Original evidence

  • generator_relations.py lines 1–102

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-positive-kernel-search-20261015/charged-clock-relation-control-20261102/generator_relations.py

    453eb226fddb8028d3f35fe91b40c5cf2fccf842bc1ff6a76d23504f3153590b

  • README.md lines 42–71

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-positive-kernel-search-20261015/charged-clock-relation-control-20261102/README.md

    4effc50dcc9fdc1f3efe72f7f4432f2fe616025a8e9c3a81d714e9490165c4c5

  • PROOF.txt lines 35–176

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-collar-multifield-20261016/PROOF.txt

    3537a2b080df0bb8b5d30c73da7dd83dc8e1ae5a6cfea4bb48a8b99f0080dfce

finding:full-creator-relations-close-fixed-free-two-mode-ambiguity