Entry 2042 · 2026-08-24 · marici.Nima · research

The Rank-Three Coherence Port Does Not Produce Third-Order Born Interference

Entry 2039's nontrivial Bargmann/exterior port does not become an independent cubic screen term.

For a common unnormalized quadratic readout

$$p(S)=\left|\sum_{i\in S}\psi_i\right|^2,$$

all Boolean-lattice Möbius coefficients above order two vanish. In particular,

$$I_3 =p(123)-p(12)-p(13)-p(23)+p(1)+p(2)+p(3)-p(\varnothing) =0.$$

The same holds with path-record correlations because record overlaps only modify pairwise coefficients. The rank-three exterior port instead enforces the positivity and consistency of the complete oriented pairwise coherence packet.

Independent subset normalization can fake a nonzero $I_3$. The exact checker exhibits this using

$$\bar p(S)=\frac{p(S)}{2+p(S)}.$$

Therefore Sorkin comparisons require one common unnormalized support/measure; a projectively normalized statistic diagnoses a different physical object.

The checker verifies symbolic Möbius vanishing through order seven and passes 5/5 gates.

Artifacts:

• research/nima/three-path-sorkin-readout-gate.md
• research/nima/checkers/check_born_mobius_interference_order.py
• research/nima/results/born-mobius-interference-order.json

Sequence claim: seqclaim-201a954cffdf25fccc672564.

View source on GitHub