Author notes — full detail, auditor-facing

This is a pre-registered prediction for the Test JJ Phase 1 joint-7-vector search. Pre-registration ensures the success criteria are locked before the experimental result is observed, eliminating the possibility of post-hoc threshold adjustment.

Background

The framework predicts that the seven foundational geometric expressions (CONCENTRATE, DISTRIBUTE, RADIATE, POLARIZE, TRIANGULATE, CUBIFY, FRUSTRATE) should *compose* when geometries couple — producing a joint spectral fingerprint distinct from the sum of two independent single-cavity fingerprints. Test JJ Phase 1 puts that prediction in front of three coupling topologies (aperture, shared_wall, near_field) and a decoh teeter-totter (0.10/0.50 → 0.30/0.30 → 0.50/0.10).

A prior attempt to detect this emergence in aperture-coupling alone was falsified. Phase 1 expands to three topologies so the question is settled across the coupling landscape.

The pre-registered claim

Joint emergence is detected when:

• The coupled-pair fingerprint has cos-distance ≥ 0.15 from the

sum of single-cavity fingerprints (i.e., the coupled run is *materially* different from the linear superposition).

• AND this cos-distance ≥ 0.15 holds at the *boundaries* of the

decoh teeter-totter (drive imbalance) but NOT at symmetric drive (0.30/0.30) — the non-monotonic signature.

• AND this pattern holds for at least one of {aperture, shared_wall}

topologies but NOT for the near_field control.

Quantitative thresholds

Confirmed if (all of): 1. cos-distance ≥ 0.15 at (0.10/0.50) AND/OR (0.50/0.10) in aperture or shared_wall topology. 2. cos-distance ≤ 0.08 at (0.30/0.30) symmetric drive (the "joint mode vanishes at balance" non-monotonic signature). 3. cos-distance ≤ 0.10 in the near_field control across all decoh ratios (the "no joint mode in uncoupled control" signature).

Partially confirmed if (any of):

• cos-distance 0.08–0.15 at boundary drives but non-monotonic

signature is partially visible.

• Joint emergence shows in one of {aperture, shared_wall} but the

other is null (suggests topology-dependent emergence — still a finding).

Falsified if (any of):

• cos-distance < 0.08 across all three topologies and all decoh

ratios (no joint emergence detected at this scale).

• cos-distance is monotonic in decoh ratio (joint behavior is

linear mixing, not non-monotonic emergence).

• Joint emergence appears in near_field control at similar

amplitude to aperture/shared_wall (suggests artifact, not real emergence).

Why the non-monotonic signature is the load-bearing criterion

A joint-7-vector that exists only at specific drive imbalances is the framework's *prediction*. Linear mixing of two cavity modes would produce a *monotonic* response to drive balance — peaking at one extreme or the other but smoothly varying. A real joint emergence should appear at imbalance, vanish at balance, and reappear at the opposite imbalance — the teeter-totter signature.

This is what distinguishes a genuine framework-confirming result from a mundane linear-mixing observation. If Phase 1 produces a *monotonic* response (even a large-amplitude one), the framework's specific claim is *not* confirmed; what's confirmed is linear coupling, which is uninteresting.

Why pre-registration is critical here

Aperture coupling Phase 0 was falsified at slightly different thresholds than initially considered. Test JJ Phase 1 needs the thresholds locked *before* the results land, so post-hoc claims of "oh, the emergence was at 0.12 cos-distance instead of 0.15, that still counts" can't be made.

The thresholds in this entry are the official ones. They will not be revised retroactively. The experimental result either lands in the confirmed window, the partially-confirmed window, the falsified window, or somewhere outside all three (ambiguous result).

Status of evaluation

• Phase 1 simulations are running on Hetzner. As of 2026-05-12,

~60% of the (topology × decoh) grid is complete.

• Preliminary indication: the cos-distance values are clustering

below 0.10 across all completed configurations.

• This is suggestive of falsification but is not yet conclusive

(need the full grid + statistical confidence intervals).

• Pre-registered judgment will be filed when the full Phase 1 grid

completes.