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

Established in scope

All248 boundary currents have explicit multi-field responses

In the question: Origin reverse selection, field dictionary and original P1 kernel

Stipulated E8_1 lattice vacuum representation. Bosonic currents are not identified with elementary4D fermions or native CCR mediators. Internal quarter grading is not physical quarter time. Contact terms, Z[0], absolute phase and original P1 Phi-dependence do not follow from these normalized coefficients.

Read the exact result, assumptions and evidence

Result

The executable E8 dictionary contains240 root vertices and8 Cartan currents with cocycle, adjoint signs and quarter grades60/64/60/64. The vertex formula and Cartan Ward recursion determine all separated current coefficients of the normalized source series. Mixed spinor currents have5/8+3/8=1; the checked connected four-point response is nonzero. Standard lattice theory implemented and independently checked here, not a new physical interaction.

Required assumptions

  • Reverse selection in the discrete closure framework

    The origin paper discrete E8 closure framework with rank, family, spinor and simple-current conditions is given. Its numerical fixed-point identities are not identified with a physical operator realization.

  • Given local E8_1 vacuum representation and explicit cocycle

    Positive level-one E8 lattice vacuum representation in orthonormal D5+D3 coordinates, declared simple-root cocycle, level-one Heisenberg Ward rules and internal quarter character v=(0^5,1/2^3). Insertions are separated. No raw-P1 pullback or physical time law is assumed or derived from this representation.

  • Quarter phase is retained

    Comparisons retain the original charged quarter phase; switching to another phase branch is not an admissible solution to the selection problem.

  • 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

  • E8-BOUNDARY-DICTIONARY.txt lines 26–121

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-collar-multifield-20261016/E8-BOUNDARY-DICTIONARY.txt

    ed4f112b566060bdaffa8f7490405004ac300a0d2a1be33c8bb3eda3f0614362

  • e8_boundary_response.py lines 1–160

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-collar-multifield-20261016/e8_boundary_response.py

    8a77bef68666dd18470fce78e04881676862075d216587b291c9e2c3761d5e6b

  • e8_boundary_response.py lines 161–294

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-collar-multifield-20261016/e8_boundary_response.py

    8a77bef68666dd18470fce78e04881676862075d216587b291c9e2c3761d5e6b

  • PROOF.txt lines 858–895

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/seam-joint-ward-state-20261014/PROOF.txt

    7c0cd92dfc5eca88260baae0af9edad66f958a27ce0d15d7965414b3971f8da0

finding:e8-current-dictionary-all-separated-responses