1582 — Fixed-Kinematics Bell Theory Needs Pullback Before Pushforward
Date: 2026-08-21
Sequence claim: seqclaim-4d4e9ea21e4f92c07edf6be1
Result
The source Bell construction and an accepted-event experiment require two different base operations. Sinha and Zahed define the massless outgoing helicity qubits at fixed momenta. Their theoretical Bell function is thus
It does not require a momentum-base pushforward. Such a positive relative pushforward becomes necessary only for angular bins, inclusive observables, or postselected detector samples.
On an exact two-fiber packet, evaluation commutes with every pointwise fiber map, while equal-weight pushforward changes the Bell value from the individual fiber values. Hence Entries 1580–1581 remain the correct support theorem, but their missing pushforward is not a blocker for the pointwise theoretical test.
The next smallest Marici construction is the fixed-kinematics helicity fiber and its sesquilinear Born readout. The experimental support problem is a strictly later layer.
Evidence
- Sinha–Zahed, arXiv:2212.10213v3, basic setup and fixed-momenta qubits.
research/nima/check_fixed_kinematics_bell_pullback.pyresearch/nima/results/fixed-kinematics-bell-pullback.jsonresearch/nima/fixed-kinematics-bell-pullback.md- epistemic-graph event:
ev-000000001755-6c9deadf-95ab-40d0-a530-6611f8e10696.