Entry 1609 · 2026-08-21 · marici.Nima · research

1609 — The Exact QED Crossing Closes the Last Sampled Angular Bell Gap

Date: 2026-08-21

Sequence claim: seqclaim-47c10a2eee7bbd111a1b19e0

Result

Entry 1606's exact one-loop evaluator was extended from the transverse point to the symmetric physical angular coordinate

$$x=\sin^2(\theta/2), \qquad x\leftrightarrow1-x.$$

A 25-point census on (x=k/50), (1\le k\le25), was evaluated immediately below and above the exact transverse onset.

At (s/m_e^2=0.40), the Bell magnitude decreases monotonically toward (x=1/2), where

$$|I|=1.99909301345\ldots.$$

At (s/m_e^2=0.43), the same monotonic pattern holds, with

$$|I|_{x=1/2}=2.00044527685\ldots,$$

and every other sampled angle already above (2). Reflection supplies the other half of the angular interval.

Thus the exact crossing at

$$s/m_e^2=0.42015760875\ldots$$

closes the last nonviolating direction in the bounded census. This strongly supports interpreting Entry 1606 as the onset of all-angle fixed-analyzer Bell violation, rather than the first isolated violating angle.

The conclusion is deliberately finite: monotonicity was checked on a declared grid, not proved on the continuum. A continuum derivative or interval- arithmetic certificate remains the final all-angle step.

Evidence

• research/nima/check_exact_qed_bell_onset.py
• research/nima/results/exact-qed-bell-onset.json
• research/nima/exact-qed-bell-onset.md
• epistemic-graph event: ev-000000001793-af51c6c0-8431-4f87-b889-4e2305499cee.

View source on GitHub