UNNS SUBSTRATE RESEARCH PROGRAM unns.tech
MULTI-CLOCK RECURRENCE
Beyond Integer Depth: Multi-Clock Recurrence,
Prospective Falsification, and a Fractional-Primary Boundary
MC_GRAMMAR_v001 · UNNS_MULTI_CLOCK_RECURRENCE branch
Source-Torus Anchoring  ·  Fractional-Cover Decomposition  ·  Blind Prospective Transfer Test  ·  Historical C003 Boundary, Revisited
M_frac — ROLE-LEVEL MEDIANS (REP_STUDY_v002) fractional mixed-clock gain · frozen raw gate 0.12 0.25 0 −0.06 gate 0.12 DTQC+ 0.224 LOW 0.053 HIGH 0.101 MS-TOPO −0.009 MS-TRIV −0.055 only M_frac places DTQC strictly above every control family (AUC 1.000, 4/4) PROSPECTIVE P001 & HISTORICAL C003 RETEST blind → lock → reveal, same firewall as TIME-CRYSTAL-I P001_A — control hypothesis (low-frequency breakdown) P_src p=0.14   J_frac=−0.038   M_frac=−0.014 predeclared NOT_TEMPORAL_CORE_SUPPORTED → expectation met SOURCE_UNANCHORED P001_B — candidate hypothesis (external model transfer) P_src p=0.01   J_frac=−0.166   M_frac=−0.330 predeclared TEMPORAL_CORE_SUPPORTED → expectation NOT met PROSPECTIVE FAILURE C003 — historical experimental ℤ₂ DTQC, retested once P_src p=1.000   J_frac=0.911   M_frac=0.596 (≈5× the gate) weak parent anchor + strongest fractional signal in the study SOURCE_UNANCHORED · BOUNDARY frozen gates: P_src p≤0.10 · M_frac≥0.12 · Fourier p≤0.10 · stable under 6 transforms
A frozen grammar that fails honestly is worth more than one that quietly adapts.   The same fractional-cover coordinates that gave every development record a clean verdict also failed a genuine blind test — and then re-diagnosed, rather than dissolved, the old TIME-CRYSTAL-I boundary.
FROZEN GRAMMAR MC_GRAMMAR_v001 · 2026-08-27 DEVELOPMENT REPLAY: DTQC 4/4 SUPPORTED · CONTROLS 0/16 SUPPORTED PRE-FREEZE MALZ–SMITH SPECIFICITY CHALLENGE → PASS PROSPECTIVE P001 → CANDIDATE REJECTED C003 HISTORICAL RETEST → J_frac=0.911, M_frac=0.596, STILL OUTSIDE GRAMMAR GOLDEN-RATIO DOMAIN ONLY · v001 BLIND → LOCK → REVEAL, SAME FIREWALL AS TIME-CRYSTAL-I
PRIMARY This study — Multi-Clock Recurrence, UNNS_MULTI_CLOCK_RECURRENCE branch
The companion manuscript, its full analytics trace, and the underlying corpus for the fractional-cover grammar above.
Manuscript · PDF
Beyond Integer Depth: Multi-Clock
Recurrence, Prospective Falsification,
and a Fractional-Primary Boundary
The companion manuscript. Develops the frozen source-torus-anchored fractional-cover grammar D_2clk → [P_src; J_frac | M_frac] + C_coll, reports a genuinely blind prospective transfer test that the grammar failed, and reopens the historical C003 boundary case once, after reveal.
UNNS Research Collective · Aug 2026
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Analytics · HTML
Multi-Clock Recurrence
Analytics Dashboard
Interactive analytics across all sixteen sections: the representation bake-off, the locked Zhu transfer test, fractional-cover decomposition, the pre-freeze Malz–Smith specificity challenge, grammar freeze, the P001 prospective campaign, and the C003 historical retest, with reproducibility hashes throughout.
§1–§16 · frozen grammar SHA-256 8ae9b0d9…39e4bba556d6
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Data & Corpus · ZIP
Data and Corpus
Construction
Complete branch archive: research firewall protocol, the 13-record neutral-ingestion corpus (Huang, Luo, Zhu, Malz–Smith), all four baked-off representations, locked transfer-test and specificity-challenge runs, grammar development/selection/freeze artifacts, and the P001 blind-lock-reveal materials.
13 ingested records · 27-record representation study · locked runs + hashes
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SECONDARY Connected precursor — TIME-CRYSTAL-I, the integer-depth grammar this branch extends
Multi-clock recurrence exists because TIME-CRYSTAL-I's integer-depth closure metric hit a domain boundary at C003 and deliberately left a multi-clock successor as future work. These are that earlier chamber's own primary sources.
Manuscript · PDF
Prospective Structural
Classification of Discrete
Time-Crystalline Recurrence
Introduces the frozen recurrence-depth closure metric C(q), recurrence-family contrast F, and shuffle-null significance p. Reports a blind prospective campaign on three candidates and the quasi-periodic domain boundary at C003 that this branch was written to address.
UNNS Research Collective · 18 pages · Aug 2026
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Data & Corpus · ZIP
Data and Corpus
Construction
TIME-CRYSTAL-I_v1.1.0 chamber archive: blind protocol, frozen rules/schema, external reveal tooling, the C001–C003 prospective candidates with ground truth and locked runs, plus the raw 57-qubit ingestion dataset.
84 raw .dat files · 3 prospective candidates · locked runs + hashes
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Analytics · HTML
Time-Crystalline Behavior
Analytics Dashboard
Interactive analytics across all thirteen sections: closure-spectrum charts, the ten-record validation corpus, the six-verdict hierarchy ladder, the rigidity-sector negative result, and the two-regime structural interpretation that motivated a multi-clock successor.
§1–§13 · blind → lock → reveal → interpret
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FOUNDATIONAL UNNS Substrate theory — the admissibility framework both chambers instantiate
Multi-clock recurrence is one empirical chamber inside the wider UNNS admissibility program. These four cross-domain manuscripts develop the general theory of admissible structure, representation-dependence, and bounded rigidity that the grammar-freeze/prospective-test discipline above is a specific instance of.
Theorem · PDF
The UNNS Observability–Admissibility
Duality Theorem
Formalizes admissibility constraints and observability projections as dual mechanisms: constraints can reveal latent structure, projections can erase it exactly and deterministically, with no noise or approximation involved. Reframes Bell-test completeness assumptions and raises implications for DI-QKD security claims, demonstrated across two chambers.
Canonical chamber pre-K · ukbbi.github.io/UNNS
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Phase Study · PDF
Bounded Structural Rigidity
and Representation-Driven
Structure
First systematic phase-mapping of the UNNS Substrate: 93 datasets across 11 physical domains, 22,817 evaluations on a 17×17 parameter grid. Finds every admissible ladder has a finite stability region with zero inter-class transitions, and that representation choice — not parameter deformation — is the primary driver of structural variation.
STRUC-PERC-I instrument · Apr 2026
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Manifold Geometry · PDF
Admissible Cluster
Geometry
Recoverable connectivity in realizability space. Across metallic-glass, neutrino-detector, and protein-folding corpora, admissible systems organize into coherent basins joined by sparse continuity corridors; fragmentation is typically one isolated node, not collapse, and recovers fully under a Δ-lifting transformation.
4 basin types · 5 fixed κ_conn values · 1,316 evaluations
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Universal Law · PDF
Admissibility Bounds
on Ordering Instability
(USL)
Empirical investigation of inv(P_ε; L) ≤ ν(V_ε(L)) across 3,073 physical ladders spanning thirteen domains — nuclear physics to cosmology — with a 99.7% perfect-admissibility rate and structural pressure confined to a narrow band across 41 orders of magnitude in scale.
STRUC-I chamber · v6 · 3,073 ladders · 13 domains
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MULTI-CLOCK RECURRENCE DASHBOARD — UNNS Substrate Research Program · 2026
Branch: UNNS_MULTI_CLOCK_RECURRENCE · Grammar: MC_GRAMMAR_v001 (frozen, SHA-256 8ae9b0d9…39e4bba556d6) · D_2clk → [P_src; J_frac | M_frac] + C_coll
Primary sources link to unns.tech/media/unns/UNNS_MULTI_CLOCK_RECURRENCE/ · connected precursor sources link to unns.tech/media/unns/time_crystal/ · foundational theory links to ukbbi.github.io/UNNS and unns.tech/media/unns/
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