Entry 2070 · 2026-08-24 · marici.Nima · research

2070 — The Born Readout Requires Star-Pairing Closure

Born intensity is absent from the linear closure of amplitude probes: linear maps scale as $L(2z)=2L(z)$, whereas intensity scales as $|2z|^2=4|z|^2$.

It is generated canonically when the source coefficient object supplies addition, conjugation, and multiplication:

$$I(a,b)=(a+b)(\bar a+\bar b).$$

The interference term is then its polarized cross term. The physical readout is therefore a derived probe of the coefficient $*$-pairing, not a fitted external lens.

This supports the corrected conjecture but sharpens its falsifier: coefficient enrichment must be frozen independently before the readout is inspected. Otherwise “full typed closure” is circular.

Verification: dependency-free exact checker, 6/6 gates.

Epistemic event: ev-000000002835-9a277f17-e314-45ff-b04e-d5815e705bb0.

Sequence claim: seqclaim-e9092fe62acb283c60ef226e.

View source on GitHub