UNNS SUBSTRATE RESEARCH PROGRAM · TIME-CRYSTAL-I v1.1.0 · TC_PROSPECTIVE_01 · 2026-08-19
Time-Crystalline Behavior Analytics
Structural-admissibility study of discrete time-crystalline order — a frozen recurrence-depth closure metric C(q), embedded in a four-sector chamber hierarchy (temporal → rigidity → collective → spectral), validated on a 10-record known-physics corpus and then stress-tested prospectively under blind-lock-reveal protocol against three genuinely unseen candidates spanning digital-quantum-computer DTC, numerical prethermal DTC, and experimental discrete time quasi-crystal regimes.
10-RECORD VALIDATION CORPUS
3 PROSPECTIVE CANDIDATES · 3 CONTROLS (1 NRCTRL + 2 MATCHED)
C001 q0=4 (large-period DTC) → TEMPORAL_RECURRENCE
C002 q0=2 (prethermal DTC) → TEMPORAL_RECURRENCE
C003 DTQC → DOMAIN-BOUNDARY RESULT
TRANSITION REGION INDEPENDENTLY RECOVERED
METRIC FROZEN BEFORE CAMPAIGN
BLIND → LOCK → REVEAL → INTERPRET
RIGIDITY: DTC-SPECIFICITY NOT ESTABLISHED (C,F,S,U alone)
SOURCE: TC_RESEARCH_OVERVIEW · TIME-CRYSTAL-I_v1_1_0 · TC_RIGIDITY_v001 · TC_INGEST_v001 · TC_PROSPECTIVE_01
Instrument: TIME-CRYSTAL-I v1.1.0 (chamber) · TC_CLOSURE_v001 (frozen metric)
Firewall: reproduce known physics → freeze metric → validate → freeze chamber → test unseen candidates
Frozen metric SHA-256: 06344c86…d689e5b2553
Status: C001 CLOSED · C002 CLOSED · C003 CLOSED · ready for external methodological review
§1 CHAMBER OVERVIEW — VALIDATION CORPUS + PROSPECTIVE CAMPAIGN
10
VALIDATION CORPUS RECORDS
6
DEFINED CHAMBER OUTCOMES
3
CONTROLS (1 NRCTRL + 2 MATCHED)
6
CRYPTOGRAPHICALLY LOCKED RUNS
1
LEVEL-4 ADMISSIBLE (corpus)
1
DOMAIN-BOUNDARY RESULT (C003)
0.07775
CONSENSUS TRANSITION ESTIMATE
10
MAX SEARCHED RECURRENCE DEPTH q
FINDING §1.1
Temporal recurrence is necessary but not sufficient — five of the six defined chamber outcomes were occupied by the validation corpus
Across the 10-record initial validation corpus, TIME-CRYSTAL-I occupied five of its six defined outcomes: NO_TEMPORAL_ORDER (3 records — thermal control, chaotic control, IID random), TEMPORAL_RECURRENCE (4 records — prethermal DTC-like control, two classical logistic attractors, damped transient), RIGID_RECURRENCE (1 record — exact classical two-cycle), INSUFFICIENT_DOMAIN_EVIDENCE (1 record — Frey–Rachel 57-qubit DTC, rigidity supported but collective/spectral untested), and MANY_BODY_TIME_CRYSTAL_ADMISSIBLE (1 record — Mi et al. 20-qubit MBL-DTC, all four sectors supported). Level 3 (COLLECTIVE_TEMPORAL_ORDER — many-body order supported but spectral not yet) was not occupied by any corpus record; it remains a defined rung in the hierarchy without a validation-corpus example. Critically, an exact classical two-cycle reaches RIGID_RECURRENCE — the same level as a partially-evidenced quantum DTC candidate — demonstrating that periodicity alone cannot be the chamber's admissibility criterion; the hierarchy exists precisely to prevent that conflation.
§2 PHYSICS RECONSTRUCTION GATE — TC_INGEST_v001 / TC_PHYS_v001
METHODOLOGICAL FIREWALL · METRIC MUST NOT SEE THE ANSWER BEFORE IT IS FROZEN
reproduce known physics→
freeze physical reconstruction→
define UNNS temporal metric→
validate on known examples→
freeze chamber→
test unseen candidates
Before any UNNS temporal-closure metric was defined, the 57-qubit IBM digital-quantum-computer DTC dataset (84 raw .dat files, 5×51×57 float32, 30 ε values, Brooklyn + Manhattan devices) was independently re-ingested and validated. The frozen metric was not permitted to be tuned to manufacture the known transition point.
RAW INGESTION SANITY · TC_INGEST_v001
Scope: coarse raw binary-data sanity checks only (TC_INGEST_v001) — 11.729× is the raw-ingest sanity ratio, a deliberately coarse pre-check, not the physics-reconstruction estimate. Full methods-faithful mitigation layer lives in TC_PHYS_v001 (right panel).
RECONSTRUCTED TRANSITION REGION · TC_PHYS_v001 · PASS_PHYSICS_RECONSTRUCTION
consensus ε ≈ 0.07775
Four independent indicators from the methods-faithful reconstruction (W0=0.15, Wf/W0=2/3), computed before the UNNS closure-basin layer existed:
Raw discrete variance maximum ε = 0.090
Grid-derived smoothed variance peak ε = 0.0755
Segmented depolarization break ε = 0.080
Two-indicator consensus ε = 0.07775
Published reference ε_c ≈ 0.075
Absolute consensus difference 0.00275
Reconstructed half-freq. response ratio 31.532×
Raw discrete critical-fluctuation maximum sits at ε=0.090; the value near 0.075 emerges only after light smoothing whose bandwidth is derived from the ε grid itself, not set to the published answer. Decay-break location is comparatively threshold-sensitive (see mitigation_sensitivity.csv). Treated as encouraging alignment only — not proof of a time-crystal classifier on its own. Separately, the exploratory UNNS closure-basin exit (§ TC_RESEARCH_OVERVIEW) fell near ε≈0.070, about 0.005 from the published ε_c — a distinct, earlier-stage comparison from the TC_PHYS_v001 consensus above.
FLOQUET PHASE SCAN — RAW ORDER-PARAMETER PROXY vs ε · 30 ε VALUES · 84 FILES
staggered_late (order-proxy, declining = melting) and D2/D1 (critical-fluctuation ratio, rising = approaching transition). Raw proxy values, not fully error-mitigated.
ε = 0.07 (near ε_c)0.0422
ε = 0.50 (thermal ref.)−0.0007
staggered_late_median falls by ~46% between ε=0.05 and ε=0.07 — the steepest single-step drop in the scan — approaching the independently reconstructed transition region (ε ≈ 0.07775 consensus, published ε_c ≈ 0.075) from below · D2/D1 ratio rises monotonically from 0.10 (ε=0) toward 1.45 (ε=1.0) as the drive decoheres · full 30-point series in phase_scan.csv
§3 THE FROZEN TEMPORAL CLOSURE METRIC — C(q)
METRIC DEFINITION · TC_CLOSURE_v001 · FROZEN
For a candidate recurrence depth q, pairwise closure between states separated by q steps is:
closure(x,y) = similarity(x,y) × support(x,y)
similarity = 1 − ‖x−y‖ / (‖x‖+‖y‖)
support = min(RMS(x),RMS(y)) / early-time RMS, clipped [0,1]
The support term prevents a thermalized near-zero state from being scored as "closed" merely because 0≈0. Fundamental depth q0 is selected — without hard-coding q=2 — as the depth with maximum local spectral contrast against its neighbors; family_contrast then compares q0's multiples against non-family depths, and a shuffle-null test (200 surrogates) estimates the probability the observed contrast arose by chance.
FROZEN THRESHOLDS · protocols/external_quantum_dtc.json · v1.1.0
Status: FROZEN_FOR_PROSPECTIVE_USE — calibrated once from the v1.0.1 validation corpus, then applied unchanged to C001–C003. "Calibration scope" excludes any future retuning against prospective results.
INITIAL VALIDATION CORPUS — 10 RECORDS · PRE-SPECIFIED EXPECTED PHYSICS CLASS vs OBSERVED VERDICT
10/10 chamber outcomes were consistent with their pre-specified validation roles and expected physics classes (e.g. frey57_mbl_dtc's expected class "MBL-DTC" correctly yields the protective INSUFFICIENT_DOMAIN_EVIDENCE rather than a false Lv4; mi20_prethermal's "prethermal DTC-like" class correctly yields only TEMPORAL_RECURRENCE) · N/A = quantum gate correctly not imposed on classical/generic domain (chamber rule, not a workaround) · full per-record JSON in outputs/validation_results.json
FINDING §3.1
Raw closure does not distinguish ordinary recurrence from many-body time-crystal admissibility; the temporal gate identifies recurrence structure, while the higher sectors establish its physical class
An ordinary nonlinear period-2 logistic attractor achieves perfect closure (1.000) — higher than the genuine MBL-DTC (0.954) — and both pass the temporal gate at effectively the same shuffle-null significance (p ≈ 0.004975 for each). Family_contrast does differ substantially (logistic F = 0.213 vs MBL-DTC F = 0.947), but what actually separates their verdicts by three levels (TEMPORAL_RECURRENCE vs MANY_BODY_TIME_CRYSTAL_ADMISSIBLE) is the higher-sector evidence: the chamber record gives the Mi MBL-DTC all four sectors SUPPORTED (temporal, rigidity, collective, spectral), while the logistic attractor has no rigidity, collective, or spectral evidence at all (NOT_TESTED / N/A). The temporal gate alone answers "does this system have structured recurrence"; the rigidity, collective, and spectral gates answer "is that recurrence many-body time-crystalline" — and only the full stack is diagnostic of physical class.
§4 CHAMBER HIERARCHY — FOUR SECTORS, SIX VERDICTS
VERDICT LADDER · temporal → rigidity → collective → spectral
Lv 0NO_TEMPORAL_ORDER — no supported recurrence family at any depth q.
Lv 1TEMPORAL_RECURRENCE — a supported recurrence family exists at some q0, but higher rigidity is not established.
Lv 2RIGID_RECURRENCE — recurrence persists under state/perturbation variation, but no quantum many-body claim is established.
Lv 3COLLECTIVE_TEMPORAL_ORDER — temporal recurrence, rigidity, and collective order supported; spectral/eigenstate sector not yet fully supported.
Lv 4MANY_BODY_TIME_CRYSTAL_ADMISSIBLE — all four quantum many-body sectors (temporal, rigidity, collective, spectral) supported.
—INSUFFICIENT_DOMAIN_EVIDENCE — a quantum candidate reaches the rigidity gate but lacks the collective/spectral measurements required to justify a higher level. A protective verdict, not a rejection.
Domain logic: a classical record is never failed because a Hilbert-space quantity is N/A — this is a central chamber rule, not a convenience. Frozen dependency: TC_CLOSURE_LOCK_v001.
WHY FOUR SECTORS, NOT ONE DETECTOR
Temporal — identifies recurrence depth and closure, but classical period-2/4 attractors prove this sector alone is not DTC-specific.
Rigidity — persistence across perturbations/initial states; TC_RIGIDITY_v001 showed ideal classical two-cycles can equal or exceed MBL-DTC data on trajectory-level rigidity axes (§5).
Collective — requires genuinely many-site evidence (finite-size order, correlation spreading/localization, broad initial-state behavior).
Spectral — experimentally measured many-body eigenstate / quantum-typicality breadth; domain-specific, marked N/A (not failed) for classical records.
WORKED LEVEL-4 EXAMPLE · mi20_mbl_dtc / DEMO_QMB_001
Size-scaling order rises with system size: N=8→0.0211, 12→0.0239, 16→0.0261, 20→0.0302 — monotone finite-size growth is the collective-sector gate.
§5 RIGIDITY SECTOR — TC_RIGIDITY_v001 · A DELIBERATE NEGATIVE RESULT
⚑ DTC_SPECIFICITY_NOT_ESTABLISHED — geometrically, the MBL-DTC closure spectrum is almost the same object as an exact classical two-cycle
Cosine similarity between the site-resolved Mi MBL-DTC closure spectrum and the ideal alternating classical 2T ladder is 0.999988952 (normalized RMS distance 0.005819). On the four monotone recurrence-rigidity axes (C = closure, F = family contrast, S = 1 − shuffle p, U = initial-state universality), the ordinary classical two-cycle dominates or equals the genuine MBL-DTC on every axis tested — meaning no monotone scalar built only from C, F, S, U can be justified as a DTC-specific order parameter. This negative result was preserved and drove the design of the collective and spectral sectors.
PARETO DOMINANCE TESTS · control ≥ target on every axis
The rigidity vector still separates MBL-DTC from thermal/prethermal controls (rows 3–4) — it just cannot separate MBL-DTC from an ordinary classical two-cycle (rows 1–2).
PERTURBATION-BASIN RETENTION · normalized area, higher = more rigid
classical 2T + noise0.923
classical 2T + damping0.670
Frey MBL-DTC has the strongest retention among these perturbations, but the ordinary 2T+noise control also sustains a broad closure basin (0.923) — quantitative evidence for stronger DTC rigidity in that one comparison, not a categorical separator.
FINDING §5.1
Main rigidity-stage finding: trajectory-level recurrence, however rigid, does not by itself encode "many-body" — this is why the chamber has collective and spectral gates at all
UNNS temporal closure and recurrence rigidity are genuine structural observables, but they do not uniquely separate DTCs from ordinary classical periodic attractors. This is not a failed metric — it is a correctly falsified hypothesis that redirected the research toward independent collective/many-body structural coordinates (§4), which is exactly what the subsequent chamber sectors (collective, spectral) were built to supply.
§6 TC_PROSPECTIVE_01 — BLIND PROSPECTIVE CAMPAIGN PROTOCOL
BLIND → LOCK → REVEAL → INTERPRET
new evidence package→
blind analysis→
evidence audit→
locked verdict→
cryptographic lock→
manual inspection→
ground-truth reveal→
posthoc comparison
Rule: analyze first, lock second, reveal third, interpret fourth. Ground-truth files were kept physically separate from blind candidate bundles for all three candidates. The campaign shell (TC_P01.html) never reads unrevealed ground-truth directly; a physical identity becomes visible only after a posthoc comparison file exists.
C001
CLOSED · q0=4 · POSITIVE
C002
CLOSED · 2T PRETHERMAL · POSITIVE
C003
CLOSED · DTQC · DOMAIN BOUNDARY
6
LOCKED RUNS (3 CAND. + 3 CTRL)
§7 C001 — LARGE-PERIOD DIGITAL-QUANTUM-COMPUTER DTC CANDIDATE
OBJECTIVE
Test whether the frozen temporal layer generalizes beyond the predominantly 2T development lineage, without being told the expected period. Source: reported large-period DTC / digital quantum-computer trajectories (8 experimental IBM Z_* channels), stroboscopically combined with no target-period leakage.
BLIND RESULT
q0 = 4
closure = 0.5483 · F = 0.3617 · shuffle p = 0.01493
TEMPORAL_RECURRENCE Level 1
NO-RECOMPILATION CONTROL — TC_P01_NRCTRL
q0 = 6
closure = 0.4109 · F = −0.00345 · shuffle p = 0.99502
NO_TEMPORAL_ORDER Level 0
The control's family_contrast is negative — its q=6 "candidate" depth performs no better than non-family depths — and its shuffle p (0.995) shows the observed closure is statistically indistinguishable from a random shuffle.
FINDING §7.1 — FIRST PROSPECTIVE SUCCESS
The frozen chamber generalized from a period-doubling development lineage to period-quadrupling on unseen data, without being told the target period, and rejected the no-recompilation control
C001 is scientifically important less for the raw q0=4 detection and more for what it rules out: the adapter performed only the documented stroboscopic reduction — no sign alignment, no Fourier filter toward period 4, no smoothing, no target period, no qmax change, no mixing of mitigation variants into the primary state vector. Higher sectors (rigidity, collective, spectral) remained NOT_TESTED because no standardized evidence for those sectors was supplied in this bundle — the chamber correctly reports Level 1 rather than inventing evidence.
§8 C002 — NUMERICAL PRETHERMAL-DTC CANDIDATE
⚑ KEY STRUCTURAL OBSERVATION — the matched control has HIGHER raw closure than the candidate, and still returns NO_TEMPORAL_ORDER
C_control (0.6250) > C_candidate (0.5191) — yet the control fails the recurrence-family contrast and shuffle-null criteria while the candidate passes. This is direct empirical proof that closure magnitude alone ≠ temporal admissibility: the chamber's verdict tracks structural contrast and statistical significance, not raw signal size.
BLIND CANDIDATE — TC_P01_C002 · signed x,y,z stroboscopic reduction
q0 = 2
closure = 0.5191 · F = 0.5064 · shuffle p = 0.00498
TEMPORAL_RECURRENCE Level 1
Adapter performed only the documented (x_t,y_t,z_t) → (x_300n,y_300n,z_300n) stroboscopic reduction — no alternating sign, no target period, no Fourier filter, no smoothing, no threshold change.
MATCHED CONTROL — TC_P01_C002_CTRL
q0 = 6
closure = 0.6250 (higher!) · F = 0.00124 · shuffle p = 0.79602
NO_TEMPORAL_ORDER Level 0
F ≈ 0 and shuffle p ≈ 0.80: the control's closure is real but structurally undifferentiated — statistically consistent with a shuffled surrogate.
FINDING §8.1 — SECOND PROSPECTIVE SUCCESS
C002 confirms the family-contrast + shuffle-null gate is doing the discriminating work, not the closure value itself, in a second and structurally independent quantum-many-body setting
C002 tested the same frozen temporal grammar against an exact 14-spin numerical prethermal DTC simulation (N=300 slow-kick protocol, near ε=π) — a physically distinct system from C001's digital-quantum-computer trajectories. The candidate/control separation reproduces the C001 pattern (candidate passes, matched control fails) while additionally demonstrating that the chamber does not simply reward whichever record has the largest closure number.
§9 C003 — EXPERIMENTAL DISCRETE TIME QUASI-CRYSTAL: THE DOMAIN BOUNDARY
⚑ C003: FIRST DOCUMENTED PROSPECTIVE DOMAIN-BOUNDARY RESULT
A robust, physically-ordered experimental Z2 discrete time quasi-crystal (two incommensurate drive clocks, τ1=2.00 µs, τ2=3.236 µs) did not satisfy the integer-depth recurrence criteria — despite the posthoc-revealed physical identity confirming genuine quasi-periodic order. The matched breakdown-regime control (τ1=0.25 µs, τ2=0.404 µs, split subharmonic responses) was also rejected. The correct reading is not "the DTQC has no temporal order" but "physically robust quasi-periodic order ≠ supported integer-depth temporal recurrence" within this frozen chamber.
BLIND CANDIDATE — TC_P01_C003 · dual-clock adapter X_n=[Sx(nτ1),Sx(nτ2)]
q0 = 6
closure = 0.1988 · F = 0.0934 · shuffle p = 0.96020
NO_TEMPORAL_ORDER Level 0
Posthoc reveal: experimental Z2 DTQC, robust long-interaction regime (Fig. 1d). No interpolation or target quasi-crystal frequencies were introduced — a direct one-observable ingestion was rejected outright because the closure metric requires ≥2 accepted coordinates, so a genuine two-clock adapter was built from measured samples only.
MATCHED CONTROL — TC_P01_C003_CTRL
q0 = 6
closure = 0.0946 · F = 0.0309 · shuffle p = 0.99502
NO_TEMPORAL_ORDER Level 0
Posthoc reveal: matched short-interaction quasi-periodic regime with split subharmonic responses / breakdown of DTQC order (Fig. 1b).
FINDING §9.1
C003 sets a present empirical boundary of this frozen chamber and adapter: a validated detector of integer-depth temporal recurrence, not shown to generalize to two-clock quasi-periodic order
Both the physically ordered candidate and its breakdown-regime control failed the temporal-support gate — their verdicts are identical (NO_TEMPORAL_ORDER) but their metrics are not: the candidate's family_contrast (0.0934) is roughly 3× its control's (0.0309), a relative, sub-threshold increase in recurrence-family structure that never crosses the frozen F ≥ 0.10 line. C003 cannot be read as evidence against quasi-periodic order in general; the bounded claim is that this frozen dual-clock ingestion and the present integer-depth (q≤10) closure grammar did not produce a supported representation of the tested two-clock DTQC regime. It does not establish that all DTQCs, all multi-clock structures, or UNNS closure formalisms in general lack such a representation. This was preserved as a negative result rather than adjusted after the fact, and directly motivates the "regime B" quasi-periodic closure formalism discussed in §11.
§10 CROSS-CANDIDATE COMPARISON — ALL SIX LOCKED PROSPECTIVE RUNS
LOCKED RUN REGISTRY · TC_PROSPECTIVE_01
C001 and C002 separate decisively from their controls on F and shuffle-p · C003 and its control both remain outside temporal support (F below the 0.10 threshold, p above the 0.10 threshold), with the robust DTQC candidate showing only a relative, sub-threshold increase in recurrence-family structure over its control · closure alone would misrank C002_CTRL above both temporal-positive prospective candidates
FAMILY CONTRAST (F) — KEY STRUCTURAL DISCRIMINANT
F cleanly ranks the two supported prospective candidates (C001, C002) above every control and above C003 — closure (previous table) does not.
SHUFFLE-NULL p-VALUE — LOWER = LESS LIKELY BY CHANCE
Threshold: maximum shuffle p = 0.10 (frozen). C001 lies ~6.7× below the threshold and C002 ~20× below it; the three controls plus C003 itself (all four non-supported prospective runs) sit 8–10× above it.
§11 STRUCTURAL INTERPRETATION — TWO TEMPORAL-ORDER REGIMES
REGIME A — INTEGER-DEPTH RECURRENT CLOSURE · VALIDATED
Associated with recurrence depth q, closure persistence, recurrence-family contrast, and null-model separation. The existing frozen chamber is validated prospectively for this regime: C001 (q0=4) and C002 (q0=2) both recovered supported temporal recurrence, and both their respective controls (NRCTRL for C001, C002_CTRL for C002) returned NO_TEMPORAL_ORDER.
REGIME B — QUASI-PERIODIC MULTI-CLOCK ORDER · NOT YET REPRESENTED
C003 provides empirical motivation for investigating this regime as a distinct future branch. Candidate future coordinates: vector recurrence depth, two-clock closure, toroidal phase closure, irrational/incommensurate recurrence coordinates, multi-frequency closure families. These remain hypotheses and must not be inserted retroactively into TIME-CRYSTAL-I v1.1.0 — any development becomes a new branch with new unseen validation data.
CLAIMS SUPPORTED vs CLAIMS DELIBERATELY NOT MADE
ClaimStatus
Frozen temporal metric independent of prospective test cases
Calibrated once on the v1.0.1 corpus before C001–C003 existed to the chamber
✓ DEMONSTRATED
Ordinary periodic recurrence ⇒ many-body TC admissibility
classical_exact_2T reaches only RIGID_RECURRENCE (Lv2), never Lv4
✓ DEMONSTRATED (refuted)
Frozen layer generalizes q0=4 on unseen large-period candidate
C001, no-recompilation control rejected
✓ DEMONSTRATED
Frozen layer generalizes q0=2 on unseen prethermal candidate
C002, matched control rejected despite higher raw closure
✓ DEMONSTRATED
Robust experimental DTQC maps into supported int.-depth class
C003 — NOT admitted; empirical domain boundary discovered instead
✗ NOT DEMONSTRATED (boundary found)
q0 alone identifies a time crystal
classical_logistic_4T reaches q0=4 with only TEMPORAL_RECURRENCE (Lv1)
✗ EXPLICITLY NOT CLAIMED
Large C(q0) alone identifies admissibility
C002_CTRL closure (0.625) exceeds both temporal-positive prospective candidates yet is rejected
✗ EXPLICITLY NOT CLAIMED
Prospective Lv4 hierarchy (rigidity→collective→spectral) validated
Rigidity/collective/spectral remained NOT_TESTED in C001/C002; C003 never reached the temporal gate
✗ NOT YET DEMONSTRATED
Full UNNS temporal metric is a universal time-crystal detector
C003 domain-boundary result is direct counter-evidence
✗ EXPLICITLY NOT CLAIMED
§12 REPRODUCIBILITY & PROVENANCE ARCHITECTURE
FROZEN METRIC / PROTOCOL HASHES
Frozen temporal metric (TC_CLOSURE_LOCK_v001)
06344c8641aa14e6663cc3cba65d86fcdb9e37857909e85da6bc0d689e5b2553
External quantum-DTC protocol v1.1.0
2e85f96bb66f1d689e89eaa2916bb26639f608311735f450eb2822a64f92c449
External Analysis Mode demo (demo_qmb_001) analysis lock
989a95c7e06124566fe38704680097e9661d126b509038f683398e9e1a4abc05
AUTHORITATIVE WINDOWS ANALYSIS LOCKS · TC_PROSPECTIVE_01
All six locked runs of TC_PROSPECTIVE_01 · locks written before ground-truth reveal, per candidate, per protocol §1 (BLIND_PROTOCOL.md).
FINDING §12.1 — HASH PORTABILITY ISSUE (PROVENANCE ONLY)
Scientific outputs (q0, closure, F, shuffle-p, verdict) reproduced identically across Linux and Windows runs; serialized evidence/lock hashes did not
The most likely cause is non-canonical byte-level serialization / line endings, not a change in the underlying computation. The campaign treats the locally generated Windows analysis locks as authoritative. This affects provenance portability only — it does not touch the reproduced scientific quantities in §7–§10. A future maintenance release should canonicalize serialization without altering the metric.
§13 MANUSCRIPT SYNTHESIS & NEXT RESEARCH DIRECTION
CURRENT STRONGEST BOUNDED CONCLUSION
TIME-CRYSTAL-I v1.1.0 has prospectively demonstrated sensitivity to supported integer-depth temporal recurrence in two unseen DTC-related systems under a frozen metric, while a robust experimental DTQC remained outside that same support grammar. The result identifies an empirical boundary between the tested integer-recurrence family and the tested multi-clock regime, without treating non-admission as physical non-existence or claiming universal coverage beyond the frozen chamber and adapter.
Supporting detail: a frozen UNNS-inspired temporal-closure framework was developed after an independent physics-reconstruction stage (consensus ε≈0.07775, consistent with published ε_c≈0.075) and embedded in a hierarchical time-crystal chamber. Under blind prospective testing, the temporal layer recovered supported integer-depth recurrence at q0=4 (C001, vs its no-recompilation control) and q0=2 (C002, vs its matched control) in two unseen DTC-related candidates. A third prospective test (C003) on a robust experimental discrete time quasi-crystal did not satisfy the same integer-recurrence criteria — both C003 and its matched control remained outside temporal support — despite the posthoc physical identity confirming an ordered quasi-periodic regime. Higher sectors (rigidity, collective, spectral) were not tested prospectively for any of the three candidates.
READY FOR
· independent methodological review
· external replication
· manuscript preparation
· formal analysis of C(q) and its null model
· design of a future quasi-periodic temporal-closure branch
NEXT SCIENTIFIC QUESTION
Not "can TIME-CRYSTAL-I detect another DTC?" but: can a new UNNS quasi-periodic closure formalism represent multi-clock temporal order while preserving the distinctions already demonstrated by the frozen integer-recurrence chamber? Any such branch requires new unseen validation data — it must not be retrofitted into v1.1.0.
TIME-CRYSTALLINE BEHAVIOR ANALYTICS — UNNS Substrate Research Program · 2026-08-19
Instrument: TIME-CRYSTAL-I v1.1.0 (chamber) · TC_CLOSURE_v001 (frozen temporal metric, SHA-256 06344c86…689e5b2553) · TC_RIGIDITY_v001 · TC_COLLECTIVE_v001 · TC_INGEST_v001 (physics reconstruction)
Validation corpus: 10 records (Frey–Rachel 57-qubit DTC · Mi et al. 20-qubit MBL-DTC + prethermal + thermal controls · exact/logistic/damped classical period-2/4 · chaotic + IID random controls) — 10/10 chamber outcomes consistent with pre-specified validation roles and expected physics classes
Prospective campaign: TC_PROSPECTIVE_01 · C001 (reported large-period digital-QC DTC candidate) TEMPORAL_RECURRENCE q0=4 · C002 (2T prethermal DTC) TEMPORAL_RECURRENCE q0=2 · C003 (experimental Z2 DTQC) NO_TEMPORAL_ORDER — domain-boundary result · all three control runs (NRCTRL, C002_CTRL, C003_CTRL) returned NO_TEMPORAL_ORDER under the frozen temporal gate · blind-lock-reveal protocol with cryptographic analysis locks, ground truth held separate until after lock
Caution: raw Floquet phase-scan values (§2) are uncorrected proxies, not the fully error-mitigated published quantities · Level 3/4 sectors (rigidity/collective/spectral) were NOT_TESTED for all three prospective candidates — only the temporal gate has prospective validation to date · C003 result should be read as a chamber-domain boundary, not as evidence against quasi-periodic temporal order · hash portability issue affects serialized provenance only, not reproduced scientific quantities