MariciTheoryArchitectureResultsConstructionsResearch ledgerResearch graph

Entry 1602 · 2026-08-21 · marici.Nima · research

1602 — Consecutive QED EFT Orders Predict a Sub-Threshold Bell Onset

Date: 2026-08-21

Sequence claim: seqclaim-d5bd9339d59c20b314daf151

Result

The published one-loop QED Wilson coefficients were inserted into Entries 1598--1599's source-typed Bell map. With (y=s/m_e^2), the exact normalized readout formed from the dimension-ten and dimension-twelve truncated amplitudes reaches (I=2) at

y10=0.4680304499…,y12=0.4236925577….y_{10}=0.4680304499\ldots, \qquad y_{12}=0.4236925577\ldots.

Expanding and truncating the normalized observable itself at the matching EFT order gives

y10series=0.4539354698…,y12series=0.4215196030….y_{10}^{\rm series}=0.4539354698\ldots, \qquad y_{12}^{\rm series}=0.4215196030\ldots.

The dimension-twelve shift of the consistent-series onset is approximately seven percent. Every onset is far below the electron-pair threshold (y=4). Exact rational endpoint evaluations certify a sign change around each quoted root.

Thus the zero-energy QED near miss is not predicted to remain a miss at finite energy: two consecutive one-loop EFT truncations place QED inside the fixed-analyzer Bell-violating region at a sub-threshold energy.

This is not yet a theorem for the full one-loop amplitude. The sharp next falsifier is the exact Karplus--Neuman helicity function. If its normalized Bell readout has no crossing below (s=4m_e^2), the apparent EFT onset is a truncation artifact; if it does cross, the coefficient attack has recovered a genuine physical energy scale.

Evidence

View source on GitHub