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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

Neutral native A3 Hodge does not identify the physical P2 carrier

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

Exclusion only for neutral family currents with unchanged original charge dictionary. No universal TFPT no-go or exclusion of charged insertions, explicit field maps or transported geometry. Prevents equating equal-dimensional spaces.

Read the exact result, assumptions and evidence

Result

Old Bell corner is (10_D5vector,10_A3descendant), weight2 and mu4 class(2,2). P2 Lambda²5 lies in D5 half-spinor paired with A3 fundamental, weight1, classes(1,3)/(3,1). Original Y spectra {±1/3[3],±1/2[2]} and {-2/3[3],1/6[6],1[1]} are disjoint, giving Hom_Y=0. A3 zero modes preserve D5 Y, center and L0, so cannot connect these types. Positive charged A4×A4 bracket remains valid as a different cut of the same E8 algebra.

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.

  • 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.

  • Given five-slot exterior source with retained complement index

    V=C5 with given oriented unitary slot basis and volume form,H=Lambda²V. C_m[kl,ij]=epsilon(m,i,j,k,l) are five distinct linear maps to conjugate target;their coherent sum is a different operation. Inner products and CAR grading remain explicit. No physical record,coupling or time iteration assumed from exterior algebra alone.

Original evidence

  • CHARGE-TYPED-HODGE-BRIDGE.txt lines 1–176

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/polarization/CHARGE-TYPED-HODGE-BRIDGE.txt

    a09592aa47048d3d4640db2b30895abd3c30163f4c45f00a0abe2a5ba879d92d

  • check_charge_typed_hodge_bridge.py lines 1–138

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/polarization/check_charge_typed_hodge_bridge.py

    1b8d76fb62e2b91d897765cd6fb25e1796b5ad87ab07c8b9afc0a8fd8c1a8ede

  • charge-typed-hodge-bridge-results.json lines 1–114

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/polarization/charge-typed-hodge-bridge-results.json

    1d072868ca570985c32c7955fcf3cc71f31ae2195d50a23815ca86fc3e4fe727

  • INDEPENDENT-CURRENT-INTEGRATION-REVIEW.txt lines 1–127

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/source_sewing_20261028/current/INDEPENDENT-CURRENT-INTEGRATION-REVIEW.txt

    09c4da15cfc7bb72d80c1664015e258d51e7a67f7ca4b47f09853badbc86387f

finding:neutral-native-a3-hodge-does-not-identify-physical-p2-carrier