Round 2 verification audit for C013

Model: gpt-5

Claim: Eq. (2) reduces to a pure S_{x,e}^2 coupling at the loop-closing times t = 2 n pi / delta (n in Z), for which Phi = n pi eta^2 Omega^2 / (2 delta^2).

Source alignment: source/main.tex:115-120 (Experiment)

Prior official verdict: verified with failure_reason None.

Executable evidence: sympy_check.py. Sandbox rerun logs: sympy_check.log.

Independent audit: I scanned the copied script for imports/shared helper dependencies and reran it through the sandbox. The code is self-contained in this attempt directory and targets the claim strategy: Set t = 2 n pi/delta in alpha(t) and Phi(t); confirm alpha=0 and Phi = n pi eta^2 Omega^2/(2 delta^2).. I checked the relevant family model rather than relying only on exit status; the rerun is treated as one reproducibility input.

Decision: Round 2 verdict is verified with failure_reason None and limitations []. Notes: t=2 n pi/delta gives alpha=0 (loop closes) and Phi=n pi eta^2 Omega^2/(2 delta^2), matching the paper exactly. Verified symbolically (sympy, integer n).