Author notes — full detail, auditor-facing

The cipher's spiral coordinate (where electrons are seated on the C_potential's internal geometry) is currently set empirically via a Thomson/Fibonacci hybrid. This works (v11/v12 produce 91/107 with 0 misses) but the spiral itself is not *derived* from the framework's axioms — it's empirically tuned. This pre-registration locks the specific values the spiral *should* take if the SIM-003 cone-cascade derivation chain produces it from first principles.

Why pre-registration matters here

If SIM-003 converges to a spiral and the framework operator *then* checks whether it matches the cipher's empirically-set spiral, there's a circularity risk: any small adjustment of the SIM-003 parameters could be (post-hoc) tuned to match the empirical spiral, giving a false derivation. Pre-registration locks the empirical spiral values *now* so the SIM-003 outcome either matches or doesn't.

The pre-registered spiral parameters

The empirical Thomson/Fibonacci hybrid spiral that v11/v12 use has the following characteristic values:

These five numbers fully specify the spiral as v11/v12 uses it. SIM-003 v6c is the simulation that should *derive* these five numbers from the framework's three axioms (f|t pulse, r=0.5 ceiling, {2,3} organizing pair) plus the geometry of the cone- cascade architecture.

Confirmation thresholds

Fully confirmed if:

• SIM-003 v6c converges to a spiral whose bulge position is in

[1.27, 1.31].

• Floor frequency in [0.202, 0.212] (c-units).
• Angular spacing of first two seats in [137.31°, 137.71°].
• Spiral pitch in [0.138, 0.148].
• Decoherence ceiling in [0.497, 0.503].

ALL five values must match within tolerance for full confirmation.

Partially confirmed if:

• 3 or 4 of the 5 values match within tolerance.
• The 1-2 mismatching values are within 2× the tolerance.

Falsified if:

• Fewer than 3 values match within tolerance.
• ANY value is off by more than 5× the tolerance.
• SIM-003 v6c fails to converge or produces a non-spiral

configuration.

What this would unblock

Paper 3 (Cipher) is currently HELD pending spiral self-derivation. If this prediction confirms: 1. The cipher becomes a complete self-derivation chain from axioms through prediction. 2. Paper 3 is released within 2-3 weeks of confirmation. 3. The framework's intellectual-honesty discipline is satisfied — no fit-shaped hole in the most consequential paper.

If this prediction is falsified (or only partially confirmed), Paper 3 remains held until an alternative derivation path (bulge/floor approach, or others) produces the spiral.

Why the spiral is the load-bearing piece

The cipher's other components (eigenvalue spectrum from CN, snap- tunneling from percolation topology, bicone simultaneous derivation) are all *derivable* from the framework's axioms + the Z-determined shell structure. The spiral is the *one* piece that currently needs empirical input. If it derives from the cone cascade, the cipher chain is complete; if not, the chain has a gap.

This is why Paper 3 is held. Publishing with a gap in the derivation chain would be publishing a paper with a fit at its core — exactly what the framework's discipline forbids.

Status of evaluation

• SIM-003 v6c is

currently running on Hetzner. As of 2026-05-12, ~36 hours into a ~96-hour run; global_r tracking ~0.487 (trending toward 0.5).

• If SIM-003 v6c converges to r=0.5, the spiral derivation chain

should complete and the five pre-registered values will land somewhere on the confirmed / partially confirmed / falsified scale.