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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.

Established in scope

Primitive geometry response retains reference split and parity mixing

In the question: Common clock sectors, quartic geometry and operational reconstruction

Typed variation identities;no Pin comparison identification with D_rel,no automatic odd-profile admissibility,no asserted infinite trace contract or quantum completion.

Read the exact result, assumptions and evidence

Result

Exactly deltaA=-({h_plus,A}+{h_minus,B})/2 and deltaB=-({h_plus,B}+{h_minus,A})/2. Even/odd relative heat responses and chi variation are derived;moving measure,R,eta and domain terms remain. Original reference source-independence does not imply geometry-independence. Independent noncommuting matrix differentiation with odd profile and chi agrees to3.1e-92.

Required assumptions

  • Original reflection split with declared geometry variation

    Original pair A=(D+RDR)/2,B=(D-RDR)/2 on a declared common domain with fixed R and density-transport variation deltaD=-{h,D}/2. Trace identities hold finitely or under an actually proved differentiable relative-trace contract. Moving chi,mu,R,eta and domains remain separate. Geometric admissibility is not inferred.

  • Original admissibility and graded-source interfaces

    v42 defines P_adm through primitive seam/Cauchy,gap,color and determinant conditions; v31 closure assumes an RP CAR kernel without identifying it with the old circle. v42 exp(W_k[J]) is a formal parent integral; spectral action, positive geometric marginal and full graded source are not equated. The separate eta term of the master functional is retained. Seek an original local image, not global Hilbert equivalence.

  • 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

  • PRIMITIVE-GEOMETRIC-SELECTION.txt lines 1–170

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-admissible-source-closure-20261025/PRIMITIVE-GEOMETRIC-SELECTION.txt

    4d04282ade94df4a8a185017a4c3448ae14976f5140a3e3b5830e91196f03cc3

  • check_primitive_selection.py lines 1–200

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-admissible-source-closure-20261025/geometric_source_return/check_primitive_selection.py

    c23357b7b6e4a766885aa0118ae4d7aa488c09368a4526b5144cb56fef826c5d

  • check_primitive_selection.py lines 201–208

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-admissible-source-closure-20261025/geometric_source_return/check_primitive_selection.py

    c23357b7b6e4a766885aa0118ae4d7aa488c09368a4526b5144cb56fef826c5d

  • 001-section-primitive-core-and-carrier-interface-handoff.tex lines 122–129

    Source checked at this snapshot

    Original location and fingerprint

    documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/001-section-primitive-core-and-carrier-interface-handoff.tex

    7d6e673d99c29d950dc601283cd51c1cc0b113567eeb79c8396fec9c82a02c79

  • 001-section-primitive-core-and-carrier-interface-handoff.tex lines 302–350

    Source checked at this snapshot

    Original location and fingerprint

    documents/archive--tfpt-45--source_extracts--01_boundary_kernel_source/sections/001-section-primitive-core-and-carrier-interface-handoff.tex

    7d6e673d99c29d950dc601283cd51c1cc0b113567eeb79c8396fec9c82a02c79

  • 008-section-relative-reflection-positivity-with-fermions.tex lines 143–169

    Source checked at this snapshot

    Original location and fingerprint

    documents/archive--tfpt-45--source_extracts--04_qft_source/sections/008-section-relative-reflection-positivity-with-fermions.tex

    898aa879cf6a3eb6464d3180274bc2fc028408aeec9676af70a862dad9c3f4dc

finding:primitive-geometric-force-retains-coupled-reference-and-parity-variation