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Public research · 2026-10-07

Hadamard a, b, e match as a candidate

A separate derivation matches a, b, and e, with c = d = 0. It was target-exposed. E_VALIDATED stays false.

E DERIVATION ONLYNOT BLINDE_VALIDATED FALSEGATE NO

2026-10-07

A derivation candidate, not E_VALIDATED

Status E_DERIVATION_ONLY_CANDIDATE. a, b, and e match exactly; c = d = 0. 16 checks are recorded as passing. Coupling: Massless scalar, ξ = 0, Schwarzschild, ℏ = 1, signature (−+++).. Indices: Diagonal mixed components ordered (t, r, θ, φ).. This is not a second Christensen/AHS implementation.

Record the exposure

Target-exposed, not blind

Not blind. Expected coefficients had already appeared in an earlier draft and conversion note. That exposure is part of the record. E_VALIDATED stays false.

Reapplying the derived e to five stored radii is recorded as leaving those stress tensors unchanged to floating-point roundoff. At r = 6 the replay is described as bitwise equal to the stored tensor.

Largest relative engine difference about 2.15×10⁻¹⁵. Largest absolute replay change about 4.24×10⁻²². Those are recorded in the continuation report. This website did not recompute them. Hadamard scripts and verification JSON are not a public runnable package.

Not independently validated components

Stored r = 6 samples

T^t_t
−1.9003562948375721×10⁻⁶
T^r_r
+1.2457783689119693×10⁻⁶
T^θ_θ
+2.6685647800409226×10⁻⁷

The 7 October stored-tensor prediction Box⟨φ²⟩ = 3.141187598810884×10⁻⁷ is a prediction. The 9 October independent Box is a different number, on the scalar-trace page.