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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

Separating label algebra needs no new dynamical weight producer

In the question: Whole-theory status and composition of results since September

Requires actual finite separating label tuples and positive P_V; identical incomplete tuples give blocks only. Constructive execution of the existing Burnside proof, not new physical completion. Label projectors are not automatically local physical fields or actual transfer/Kraus amplitudes. The old penalty boundary remains valid; no new universal Boltzmann or d_r requirement.

Read the exact result, assumptions and evidence

Result

Source45 QFT004 uses common eigenspaces of a separating diagonal family. Finite Lagrange projectors recover E_w from the actual complete labels. With strictly positive P_V, E_u P_V E_v/(P_V)_uv gives all matrix units. The missing additional symbol d_r(w) is not an open hypothesis for this algebra closure.

Required assumptions

  • 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.

  • 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.

  • Model results remain conditional

    Calculations in a fixed E8 net, quotient, family packet, or readout apply only under their stated inputs and do not select those inputs.

Original evidence

  • WEIGHT-PRODUCERS-20261105.md lines 1–120

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-paper-source-reconciliation-20261102/WEIGHT-PRODUCERS-20261105.md

    fda0aad90138281b12b67959837d797f1b8c0c5826fd7dd77b76a337b82fbbe9

  • LABEL-PROJECTOR-INDEPENDENT-REVIEW.txt lines 1–20

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/original-paper-source-reconciliation-20261102/weights_20261105B/LABEL-PROJECTOR-INDEPENDENT-REVIEW.txt

    ff38a182f93e9d917da718e8f13042ac5988f2c0e16572ae0e8ef9dbdfbb0156

  • 004-source.tex lines 282–335

    Source checked at this snapshot

    Original location and fingerprint

    documents/archive--tfpt-45--source_extracts--04_qft_source/sections/004-source.tex

    a5d1cc26f80d2f1d5af3d89b94cf8ff8912b572040614d4e1c27f1fe3b747126

finding:weights20261105b-label-algebra-needs-no-new-dynamic-weight-function