The Z₂₄ Challenge Three Hardened Pass Fail Superconducting Tests for a Crystalline Axiverse Governance Rule
Abstract
This note is the final-audit hardening of the Z24 experimental challenge. The hypothesis is intentionally narrow: a fixed, non-negotiable (\mathbb Z_{24}) governance rule constrains qualified macroscopic superconducting phase dynamics. The integer 24 is not a tunable denominator, phase-bin count, mixture-component count, cluster count, or post-hoc label. A robust qualified failure of 24 under the specified controls falsifies the hypothesis for the tested device class and regime. The challenge defines three laboratory protocols: Protocol A, phase-state multistability; Protocol B, triadic spectral clustering (24\to8\times3); and Protocol C, denominator-24 locking. This v3 hardening turns the challenge from “search for 24” into a goalpost-locked adversarial test. It adds a full integer scan, a fixed decoy slate of prime, near-neighbor, and divisor-rich integers, divisor-comb and harmonic-envelope controls, constrained (\mathbb Z_K) comb likelihoods, holdout clustering for Protocol B, triadic-closure statistics, primitive rational (p/q) scans for Protocol C, drive-amplitude robustness, lower-confidence-bound uniqueness, blind salted injections at random integers, physical decoy devices, finite locked red-team batteries, regime qualification cards, global trials accounting, and a formal shared-parameter cross-protocol consistency test. The central decision rule is conjunctive. A headline H24 claim requires Protocols A, B, and C to pass under the same pre-registered integer, qualified regime logic, effect-size thresholds, decoy uniqueness, regime on/off behavior, and mutually compatible physical parameter scales. A single-protocol pass is an anomaly, not a global PASS. A null is valid only if the pipeline demonstrates power (\ge 0.80) at (\alpha=0.01) on reference injections under the same analysis windows and noise floor. This document is not a discovery claim. It is a pre-registered, goalpost-proof challenge: passing it would provide strong evidence for a discrete invariant in macroscopic quantum dynamics; failing it would be a valuable falsification of the Z24 governance rule in the tested regime.
Fields of Study & Subjects
Physics of Superconductivity and Magnetism
Quantum many-body systems
Iron-based superconductors research
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 19 June 2026
- Document type
- Preprint