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 \u2014 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.
\nIf 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.
\nThe empirical Thomson/Fibonacci hybrid spiral that v11/v12 use has the following characteristic values:
\n| Property | \nEmpirical value | \nTolerance | \n
|---|---|---|
| Bulge position (max radius / mean radius) | \n1.29 | \n\u00b10.02 | \n
| Floor frequency (lowest stable seat) | \n0.207 c (where c = 1) | \n\u00b10.005 | \n
| First seat / second seat angular spacing | \n137.51\u00b0 | \n\u00b10.2\u00b0 | \n
| Spiral pitch ratio (Z-axis advance per turn) | \n0.143 | \n\u00b10.005 | \n
| Decoherence ceiling | \n0.500 | \n\u00b10.003 | \n
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.
\nFully confirmed if:
\n[1.27, 1.31].
\nALL five values must match within tolerance for full confirmation.
\nPartially confirmed if:
\nFalsified if:
\nconfiguration.
\nPaper 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 \u2014 no fit-shaped hole in the most consequential paper.
\nIf 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.
\nThe 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.
\nThis 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 \u2014 exactly what the framework's discipline forbids.
\ncurrently running on Hetzner. As of 2026-05-12, ~36 hours into a ~96-hour run; global_r tracking ~0.487 (trending toward 0.5).
\nshould complete and the five pre-registered values will land somewhere on the confirmed / partially confirmed / falsified scale.
\nPre-registered prediction for the spiral coordinate self-derivation that would unblock Paper 3 release.
\nBackground: the cipher's spiral coordinate is currently set empirically via Thomson/Fibonacci hybrid. v11/v12 produce 91/107 with the empirical spiral \u2014 but the spiral itself isn't derived from the framework's axioms. Paper 3 (Cipher) is HELD pending spiral self-derivation.
\nThe 5 empirical spiral values pre-registered:
\n| Property | \nEmpirical value | \nTolerance | \n
|---|---|---|
| Bulge position | \n1.29 | \n\u00b10.02 | \n
| Floor frequency | \n0.207 c | \n\u00b10.005 | \n
| First\u2192second seat angle | \n137.51\u00b0 | \n\u00b10.2\u00b0 | \n
| Spiral pitch | \n0.143 | \n\u00b10.005 | \n
| Decoherence ceiling | \n0.500 | \n\u00b10.003 | \n
Confirmation: all 5 match within tolerance. Partial: 3-4 of 5 within tolerance. Falsified: <3 within tolerance, OR any off by >5\u00d7 tolerance.
\nTest: SIM-003 v6c cone-cascade simulation should derive these five values from the framework's three axioms plus cone-cascade geometry. Currently running on Hetzner.
\nWhat this unblocks:
\nreleased within 2-3 weeks. Cipher derivation chain complete.
\n(bulge/floor approach) explored next.
\nWhy pre-registration: prevents circularity. The empirical spiral values are locked *before* SIM-003 results land. Post-hoc tuning of SIM-003 parameters to match the empirical spiral would be a false derivation; pre-registration forecloses this.
\nStatus: open. SIM-003 v6c convergence is the gating event. Result lands wherever it lands.
", "see_also": [ "sim-003-v6c-cone-cascade", "cipher-v11-complete-self-derivation", "paper-3-status-2026-05" ], "cited_by": [], "attachments": [], "schema_version": "1.0", "generated_at": "2026-05-12T03:27:18.533879Z" }