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ASTRAL GATELaboratory

VAL-B1-PUBLISHED-HH-CURVES · NARROW COMPARISON · FULL CHAIN STILL INVALID

Digitized published Hartle–Hawking curves

October 3 records, reconciled on 7 October: normalized multi-frequency self-cancellation was already implemented. Digitized published Hartle–Hawking component values agree 12/12 at r = 5.5M, 6M, 6.5M, and 7M within stated tolerances. The original full-chain label remains MRX_R_INVALID because r = 5 failed tt n-convergence under analysis v1.0. A supplementary v1.1 pass does not replace that label.

12/12 NARROWMRX_R_INVALIDR=5 ANALYSIS_R_INVALIDV1.1 DOES NOT REPLACEWARD STILL HOLDNOT FULL RSETGATE NO

Checkpoint ladder

  1. CURVES

    Component values at four radii

    12/12 DIG_AGREE

  2. CHAIN

    Full multi-radius chain

    MRX_R_INVALID

  3. CHAIN

    r = 5 under analysis v1.0

    ANALYSIS_R_INVALID

  4. CHAIN

    Supplementary v1.1 n = 5

    A11_C2P_PASS_ALL · DOES NOT REPLACE

  5. CONSERVATION

    Stored r = 6 diagnostic

    PRIMARY-TOLERANCE PASS · NOT WARD CLOSURE

  6. LOCK

    Independent tensor validation

    FALSE

The digitized table values and their tolerances are not in the public JSON. This page does not reprint numbers it does not have.

At r = 6 the stored conservation diagnostic residual is 8.23579665749×10⁻¹⁰ against a stored primary tolerance 2.08667476468×10⁻⁸. That is a primary-tolerance pass of the stored diagnostic. WARD stays HOLD. It is not full independent Ward closure.

Current self-cancellation convention: T_λ[H] = (H(ω) + H(ω+λ/2))/2, applied to the running integral H, with normalized repeated multi-frequency operators. The 19 September unnormalized sum remains dated history. Finite-support readout success is not a rigorous infinite-support result. ABEL_PRODUCTION_VALIDATED stays false in that sense. This is not a claim that a paper or its numerical tables are wrong.

Qualifiers

  • Narrow published-curve agreement is not an independently validated full RSET.
  • Do not replace MRX_R_INVALID or ANALYSIS_R_INVALID with the supplementary v1.1 label.

Updated 2026-10-07. All checkpoints · VAL-B1-SCALAR-TRACE-R6 · VAL-B1-PMR-CNG-CONFIRMATION · VAL-B1-HADAMARD-E-CANDIDATE · VAL-B1-PMR-CNG-DISCOVERY · VAL-B1-PMR-ASYMPTOTIC-AUDIT · VAL-B1-PMR-ANGULAR-GATE · VAL-B1-MTAU-SIGN-REPRO · VAL-B1-EXTCOORD-HH · VAL-B1-EXTCOORD-PHI2-DERIV · VAL-B1-EXTCOORD-RSET-4PT · VAL-B1-HOWARD-242-246