The Equation Tranche MOIRÉ
The Equation
Integrated complexity dynamics
C(t) = Φ(t) × R(t) × D(t)

A system's integrated complexity at time t is the product of three independent quantities: how much irreducible information it integrates, how well it discriminates its own models from external reality, and how dynamically structured its information flow is. All three must be non-trivially present. If any one collapses, so does C.

ComponentRangeRole
Φ (Phi)[0, ∞)Integrated information. Irreducible causal structure above and beyond its parts.
R[0, 1]Reality discrimination. System's ability to distinguish internal models from external states.
D[0, 1]Dynamic complexity. Temporal structure of information flow — neither frozen nor random.
C[0, ∞)Integrated complexity. The multiplicative product — what the system is doing as a whole.

The multiplicative structure is the claim. Integration without discrimination is a thermostat. Discrimination without dynamics is a photograph. The equation says: you need all three, simultaneously, and their contributions compound.


HIRM — Application to Consciousness

The Hierarchical Information-Reality Model applies this framework to the problem of subjective experience. The hypothesis: consciousness emerges when C crosses a critical threshold.

Ccritical = 8.3 ± 0.6 bits

Below this value: information processing without experience. Above: subjective experience emerges. The transition is sharp, not gradual.


Theory Mapping

Existing TheoryComponentRelationship
IIT (Tononi)ΦΦ as necessary but not sufficient
GNWT (Dehaene)ignition → RGlobal ignition as reality-discrimination mechanism
FEP (Friston)dynamicsFree energy minimization drives D toward critical range
SOC (Bak)DSelf-organized criticality as substrate for dynamic complexity
HOT (Lau)RHigher-order representations enable reality discrimination

Simulation Results

Phase transition at Ccriticalpassed
Component independence (Φ, R, D orthogonal)passed
Sleep-wake cycle replicationpassed
Anesthesia response curvespending

Empirical Validation

Sleep-EDF dataset (polysomnography)ready
Cambridge consciousness corpuspending access

Predictions

22 falsifiable predictions derived from the model. Full list in repo documentation.


Papers

HIRM: A Hierarchical Information-Reality Model of Consciousness
In progress
Simulation and Computational Validation of HIRM Phase Transitions
In progress
Empirical Predictions and Testing Framework for HIRM
Planned

Corpus

193-paper research corpus spanning integrated information theory, global workspace theory, free energy principle, higher-order theories, and criticality. Full corpus in HIRM repo.

Tranche
Collaborative investigative intelligence platform

A platform for mapping global corruption by connecting leaked corpora, public records, and researcher findings into a single evidence-backed graph. The graph is not built by extraction. It is built by investigation. Thousands of researchers, each pulling threads from the corpora they know best, each contributing verified connections back to a shared record. The platform provides access to corpora, tools for verification, and a quality pipeline that ensures only defensible claims enter the graph.

Six prior iterations hit the same wall: visualization on top of garbage data. The visualization was never the problem. The data pipeline was. Specifically, the assumption that automated NER extraction could replace human investigative judgment. Tranche inverts that assumption. The system provides the corpora and the verification infrastructure. Humans do the investigating.

The Five Layers

LayerFunctionImplementation
Local ResearcherPrivate workspace. Investigation state, draft connections, local notes. Encrypted at rest.Tauri 2, SQLCipher
Corpus FederationFederated search across global leak databases and public records. No local storage of source corpora.Oktyv adapters for ICIJ, SEC, FOIA, court records
Quality PipelineEvery submitted connection passes through multi-stage verification, adversarial challenge, and epistemic calibration before entering the graph.Consensus 13-stage, WHETSTONE, TREG
Autonomous ResearchOvernight pattern detection. Watches new filings, detects structural anomalies, suggests investigation threads to human researchers.NIGHTSHIFT, LANTERN
Public GraphRead-only exploration. Search entities, trace connections, read evidence chains. No login required.Supabase, D3

Resolution Tiers

TierScaleWhat Emerges
L0Macro topologyCluster shapes across the full graph. Structure before labels.
L1Sector clustersOwnership groups, industry sectors. Leiden community detection.
L2Entity networksCompanies, funds, individuals. Hubs emerge from data via ForceAtlas2.
L3Relationship detailOwnership percentages, trading patterns, capital flows between entities.
L4Document evidenceSource filings, dates, provenance chain. Every edge traces back to paper.
L5Claim validationTESSRYX confidence scoring, dependency blast radius, supersession tracking.

Architecture

Cosmos GL — WebGL GPU-accelerated graph rendering1M+ nodes
Neo4j — relationship storage and traversalgraph
PostgreSQL — entity and document storagerelational
Apache Arrow Flight — columnar data transportpipeline
TESSRYX — dependency intelligence, provenance, confidencevalidation
STORM — synthetic test corpus with planted patternsground truth
IPFS — signed data exports, Ed25519 attestationpersistence
Federation mesh — independent mirror nodes, no central registryresilience

Anti-Patterns

Six constraints locked from six failed iterations. No bulk NER (automated entity extraction produces noise, not intelligence). No co-occurrence relationships (appearing in the same document is not a relationship). No visualization before data quality (the graph cannot be better than the data underneath it). No multiple pipelines (one path from corpus to graph, or the data diverges). No architecture paralysis (build the pipeline, then the graph, then the interface). No localhost monolith (federated from day one).


Methodology

Zero-Assumption Law. Patterns emerge from data, never from named entities. The graph is not told who matters. Density, centrality, and bridging structure surface organically. STORM generates synthetic datasets with planted dark network patterns and ground truth catalogs. The detection pipeline is validated against known structure before it touches real data.

A platform that maps corruption will be pressured to stop mapping corruption. Every architectural decision is evaluated against a single question: does this create a single point of failure? Contributor identities are never stored on the server. Private notes never leave the local device. Data exports are cryptographically signed and distributed to IPFS. The federation protocol means any mirror operator can resurrect the full graph independently. The number of people who could rebuild Tranche at any given moment is architecturally unknowable. A privacy policy is a promise. Architecture is a fact.

145+ source documents. Architected for 100K–1M entities from day one. All open-source infrastructure, $0/month operational cost, running locally and outside institutional control.

MOIRÉ
Cryptographic deception through format-preserving data distortion

Most security systems try to keep attackers out. Some detect them when they get in. This one lets them in on purpose - into a version of reality that's cryptographically wrong in every specific detail, structurally identical in every pattern, and mathematically traceable back to the exact breach that let them through.

Instead of building a fake environment with synthetic data (which any insider will recognize as fake), run the real system against the real database, but pass every data point through a keyed distortion layer before it hits the screen. The attacker sees real patterns, real activity volumes, real statistical distributions. Every specific value - every name, every coordinate, every identifier - is wrong. Named after the moiré pattern - the interference effect when two regular patterns overlap at slightly different angles, producing a third pattern that looks structured but doesn't exist in either original.

The distortion is format-preserving encryption (NIST SP 800-38G, FF1/FF3-1). Already used in PCI-DSS payment tokenization. Nobody's applied it as a deception layer. The contribution is not any single primitive - FPE, deception technology, and intelligence tradecraft all predate this work - but their composition into a coherent operational doctrine with explicit security bounds and failure modes.

Distortion by Data Type

Data TypeMethodPreservedChanged
GPS coordinatesRigid-body rotation + translationRelative distances, clustering, corridor shapesAbsolute locations
IdentifiersFPE (FF1 mode), keyed bijectionFormat, consistency across viewsEvery specific value
TimestampsUniform offset from keySequence, gaps, temporal clusteringAbsolute dates and times
CategoricalsKeyed substitution within equivalence classCategory structureSpecific values
AggregatesPass-throughEverythingNothing - real numbers

Adversarial Meta-Game

The paper analyzes what happens when sophisticated adversaries know deception systems exist and actively probe for them. Seven detection techniques are identified - from self-verification (submit a test record, check if it renders correctly) to statistical fingerprinting (test coordinate clustering against road grid alignment) - with specific countermeasures for each. The self-verification attack is the most dangerous and simplest: an insider submits a record they control and checks whether it comes back correctly. This is MOIRÉ's most fundamental limitation.


Graduated Deception Architecture

TierTriggerDistortion
0: WatchAnomalous behaviorNone. Real data. Behavioral telemetry only.
1: Tracer insertionElevated suspicion5-10 marked records planted. All other data real.
2: PartialConfirmed compromiseHigh-value records distorted. Most data real.
3: Full MOIRÉActive exfiltrationEverything distorted except insider's own submissions.
4: ContainDetected or exhaustedAccess silently restricted. No deception.

Against sufficiently sophisticated adversaries, full-environment distortion will eventually be detected. The stable equilibrium converges on selective distortion with tracers - overwhelmingly real data with a small number of strategically placed marked records. This is where intelligence tradecraft has always settled. The deception is thin but invisible.


Turned-Asset Doctrine

When a legitimate insider is confirmed compromised, the standard response is to revoke access. This alerts the adversary. The alternative: silently route the compromised insider's session through the distortion layer. Every query reveals their handler's priorities. Every exfiltrated record becomes a uniquely keyed tracer. MITRE Engage acknowledges this gap. No vendor, framework, or academic paper currently formalizes this as a named doctrine. The primitives exist in patented work (Rapid7 US 11,303,675; SentinelOne US 11,038,658). The strategic composition does not.


Prior Art

Bellare, Rogaway, Spies (2009) - FPE formalizationfoundation
NIST SP 800-38G - FF1/FF3-1 standardizationstandard
MITRE Engage (2022) - adversary engagement frameworkframework
Kahlhofer & Rass (2024) - application-layer deceptiongap identified
FPE as deception middlewareno prior art
Turned-asset doctrine formalized in softwareno prior art
Graduated deception depth architectureno prior art

Status

Construction and threat modelcomplete
Security analysis (known-plaintext, self-verification)complete
Adversarial meta-game (7 detection techniques)complete
Graduated deception architecture (5 tiers)complete
Convergence analysiscomplete
Prototype implementationplanned
Human distinguishability evaluationplanned

Papers

May 2026 - 9 pages, 26 references
Security Analysis of Structure-Preserving Data Distortion for Active Defense
Planned