Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Recurso digital |
| Lenguaje: | |
| Publicado: |
Zenodo
2026
|
| Materias: | |
| Acceso en línea: | https://doi.org/10.5281/zenodo.18154545 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Tabla de Contenidos:
- <p><br>The Crystalline Axiverse program posits a single, non-negotiable discretization constraint on macroscopic superconducting phase dynamics: a fixed Z24 “governance rule”. The claim is intentionally narrow and falsifiable. If a Z24 invariant is physical (rather than a geometric coincidence or an instrument artifact), then it must generate reproducible, device-independent signatures in superconducting circuits that survive adversarial controls, pre-registered statistics, and sensitivity demonstrations. Conversely, robust non-observation under qualified regimes and controls is a scientifically valuable falsification that constrains the hypothesis space.</p> <p>We specify three binary (PASS/FAIL) laboratory protocols implementable using standard Josephson technology (SQUID loops, Josephson junction arrays, flux-tunable metamaterials, and driven junctions):</p> <p>Protocol A (Phase-State Multistability) tests whether repeated phase inference reveals 24 preferred phase classes. The protocol is hardened against digitizer and acquisition artifacts via a mandatory “kill switch”: dual-digitizer recording (independent digitization chains), flux-ramp rotation (a physical structure must rotate in phase space under a controlled ramp), and analog dither robustness (instrument binning should smear or pin to codes). Model selection is performed against continuous and non-24 mixture alternatives under pre-registered windows.</p> <p>Protocol B (Triadic Spectral Clustering, 24 → 8×3) tests whether 24 collective modes organize into eight triads (three modes per triad) with coherence exceeding random partitions across a parameter sweep. Avoided crossings are expected, so the protocol requires eigenvector-overlap (fidelity) mode tracking through crossings using minimum-cost assignment. To reject geometric trivialities, the protocol requires common-mode rejection (PC residualization; PC_REMOVE=2) before scoring. The decision rule is a permutation p-value on a coherence score (within-triad minus between-triad correlation), with Nperm ≥ 1000 and α = 0.01 pre-registered.</p> <p>Protocol C (Denominator-24 Locking) tests whether driven phase-locking shows an anomalous enhancement at denominator q = 24 relative to baseline decay in the rational locking hierarchy. The protocol constructs a denominator-width profile W(q) over a pre-registered sweep window and declares PASS only if W(24) is a statistically significant positive outlier robust to drive-frequency sweeping and control exclusions (cavity resonances, small-denominator harmonics, and wiring artifacts).</p> <p>To prevent false positives (pareidolia, geometric tautologies, ADC quantization) and false negatives (thermal washout, insufficient stiffness), we impose explicit regime and reporting requirements, including: stiff/classical-phase operation, mandatory non-24 geometric controls, pre-registered analysis windows, raw-data release, and adversarial control reporting. We additionally provide an R^8 Trust Kit v1.0 (null generators, signal injection harness, and overlap-based mode tracker) that certifies false-positive rates and power curves before any experimental data is touched. A null claim is considered valid only if the pipeline demonstrates ≥ 80% power at α = 0.01 on a reference injection under the same windows and noise floor.</p> <p>This document is an open call for independent verification. A confirmed PASS under hardened controls would establish a new discrete invariant in macroscopic quantum dynamics; a robust FAIL is an equally valuable falsification that constrains the Crystalline Axiverse hypothesis space.</p>