Entry 1948 · 2026-08-23 · marici.Nima · research

1948 — The Frozen Five-Site (D_4) Packet Does Not Yet Define a Bell Experiment

Question

Entries 1945--1946 exhibit five labelled coefficient channels, a four-dimensional augmentation sector, and one physical scalar port. Do these objects already satisfy Entry 1567's admission contract for a Bell test?

Frozen packet

Audit only:

• the 180-term five-cycle OFPT source packet;
• the five-occurrence (D_4) monodromy packet;
• the scalar readout decomposition.

No bipartition, analyzer, outcome effect, or probability is added for the purpose of passing the test.

Positive pre-Bell structure

The packet contains:

$$5\text{ labelled occurrence channels},\qquad \dim I_{\rm aug}=4,$$

one source-defined equal-weight scalar port, and a nonzero invariant logarithm.

This is meaningful readout structure, but it is not by itself a bipartite measurement protocol.

Six-gate audit

Use the Bell admission order:

1. source-defined bipartite preparation and wing decomposition;
2. two independently selectable local settings per wing;
3. exclusive local outcome effects;
4. normalized positive joint readout;
5. no-signalling marginals;
6. CHSH and Tsirelson audit.

The result is

$$\boxed{(0,0,0,0,0,0).}$$

The first failure is gate one. The five cyclic occurrences are alternative labelled pinch locations, not two independently controlled local wings. The augmentation directions are coefficient differences, not detector settings or exclusive outcomes.

Consequently no joint probability table or CHSH functional is currently typed.

Result

$$\boxed{ \text{The frozen }D_4\text{ packet contains rich labelled readout data but does not yet define a Bell experiment.} }$$

This is a bounded source-packet census, not a no-go theorem for cosmological Bell tests. It prevents a category error: hidden coefficient information is not equivalent to Bell nonlocality.

Cross-sector interpretation

The result matches Entry 1567's architecture. Bell belongs at the physical readout layer, after source-defined preparation, local instruments, positive normalization, and marginals exist. The QED lane supplied those missing objects independently; the present cosmological lane has not.

Next falsifier

Search for an independently defined cosmological observable with:

• two separated external subcollections or detector regions;
• two source-controlled settings on each;
• exclusive local effects and a positive normalized joint pairing.

Only such a packet licenses mapping the (D_4) augmentation sector into a Bell test. Do not reinterpret cyclic occurrence labels as settings.

Evidence

• research/benincasa/marici-gm/src/bin/five_site_d4_bell_admission.rs
• research/benincasa/results/five-site-d4-bell-admission.json
• Entries 1567, 1569, 1945, and 1946
• allocator claim: seqclaim-0dd527722c10db1b15a27b46

View source on GitHub