Public research · 2026-10-03, reconciled 2026-10-07

Published-curve agreement is narrow

Twelve of twelve digitized component values agree at four radii. The full chain remains MRX_R_INVALID. That is not an independently validated stress tensor.

12/12 NARROWMRX_R_INVALIDR=5 ANALYSIS_R_INVALIDWARD HOLD

2026-10-03 · reconciled 2026-10-07

Narrow agreement with digitized curves

12/12 component values at r = 5.5M, 6M, 6.5M, 7M. Status DIG_AGREE. This is agreement with digitized published Hartle–Hawking curves within stated tolerances. It is not an independently validated full stress tensor.

The digitized table values and tolerances are not in the public JSON, so they are not reprinted here.

Labels that stay

A later pass does not replace an earlier invalid radius

Original full-chain label: MRX_R_INVALID. ANALYSIS_R_INVALID under analysis v1.0, because tt n-convergence failed at r = 5.

A supplementary v1.1 n = 5 check is recorded as A11_C2P_PASS_ALL. It does not replace the original r = 5 label.

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, not full independent Ward closure. WARD stays HOLD.

Dated convention

The average, not the 19 September sum

Normalized multi-frequency self-cancellation was already implemented in the October 3 records. The current convention averages the two shifts.

T_{\lambda}[H](\omega)=\dfrac{1}{2}\bigl(H(\omega)+H(\omega+\lambda/2)\bigr)

The 19 September unnormalized sum H(ω)+H(ω+λ/2) stays as dated history. Finite-support success is not an infinite-support proof. ABEL_PRODUCTION_VALIDATED stays false in that sense. This is not a claim that a paper or its tables are wrong.