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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.

Scoped exclusion

Correctly distinguish functions,differentials and source forms

In the question: Automatic joint origin hypotheses and source responses

Only specified identifications excluded,not original S/Z/OS/Gamma source. ItsRP does not extend automatically to newly chosen forms. Existing metric rigidity uses integral UNIMODULAR completion;do not combine it circularly withR102 into a premise-free proof. Do not freely add CAR or metric repairs.

Read the exact result, assumptions and evidence

Result

V=H0O(D) has dimension5,modulo constants4;H0K(D) has dimension3. Short exact sequence C→V5→U3 fails. f dz=dz/(z−1) has residues1and−1 including infinity. Clifford evaluation alone selects no positive physical norm. Gemini's new DtN form hasq(1,1)=0 and is not strictly positive onV5. the reviewed source's alleged necessary commutation for even/odd D splitting fails on an explicit2x2counterexample. Retain originals and conditional whole-metric theorem.

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.

  • P1/P2 remain declared starting axioms

    This program checks which additional source, state, event, and observable structures follow from accepted TFPT principles; it does not revoke or replace P1/P2.

Original evidence

  • PRIMITIVE-INTEGRAL-COMPLETION-20261102.txt lines 1–148

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-positive-kernel-search-20261015/PRIMITIVE-INTEGRAL-COMPLETION-20261102.txt

    695a3249781bc7f6c46e091a0faec0c8eda384a9cf64c6d67f501d5ddf10c0e6

  • integral_origin_checks.py lines 1–157

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-positive-kernel-search-20261015/integral_origin_checks.py

    7a4c677afaa4ef72c450e0febd720c18ed4e4d7e2df405ca70f9e84f789b56d2

  • v197_rr_carrier_clifford_d5.py lines 1–72

    Source checked at this snapshot

    Original location and fingerprint

    verification/v197_rr_carrier_clifford_d5.py

    84b093de7dd97a91f9ab4f4a18fdca20ebefb4a7e0fa8324ef45983beafcb8c9

  • PROOF.txt lines 1–159

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/puncture-metric-joint-completion-20261102/PROOF.txt

    86701d996dc9b5ed2bc228359c45699ac6f458eddfbc7daf152087324f250aa7

finding:r102-function-differential-and-source-form-countercontrols