Every treatise Eigenia has published, grouped by the working group that produced it. Start from a discipline, follow the findings, or search the whole library.
The work, by group
The work is organized as working groups. Each one publishes into the same wiki: papers, theories, proposals, methodologies and applications.
Copula tail-risk models, Lloyd's Y5381 catastrophic power benchmarks, and non-Gaussian loss reserves for multi-region synchronized grid collapse.
Open in wiki7-layer computational ontology coupling 3.2M-node GGNN directed multigraphs with real-time SCADA telemetry and air-gapped physical state mirrors.
Open in wikiCognitive saturation under alarm floods measured with dynamic Bayesian networks, and a write-access trust boundary that keeps optimization algorithms out of direct command of valves and switchgear.
Open in wikiMcKenney-Lacanian tensor algebra and a gated graph neural network mapping operator cognitive dissonance thresholds and threat actor discourse under stress conditions.
Open in wikiHigh-voltage grid death wobble, BESS thermal runaway, and synthetic inertia decay boundary conditions in inverter-dominant modern power systems.
Open in wikiBinding equipment topology (ISO 15926-4) with OWASP CycloneDX 1.6+ bills of materials into the computable graph schema G_CPDT.
Open in wikiEU Cyber Resilience Act Article 14 reporting written as a verifiable 24-hour CSIRT pipeline, VEX and VDR falsification bound to CycloneDX, and firmware provenance carried back to a hardware root of trust.
Open in wikiSpectral decomposition of 77,279 critical infrastructure threat data points and the 12-factor Adversary Threat Quotient formula for OT networks.
Open in wikiA psychological state held as nine numbers, and a stated mapping from that state to mode, tempo, dynamics, orchestration density and harmonic movement, published with a blinded listening pack so the mapping can be contested.
Open in wikiKramers potential escape rates, sheaf cohomology for topological fault localization, and Monte Carlo sampling with Ising annealing for optimal grid islanding schedules.
Open in wikiIs this real
Each line is the result a treatise reaches, not the subject it covers. Open any one to read the paper it comes from.
The most dangerous item in the set had the lowest service impact. Availability triage ranks it last.
Four ways to read the same choice
The same decision looks different through different disciplines. These are the lenses, not endorsements: how each kind of decision-maker weighs auditable mathematics against software no one is allowed to inspect.
I do not need to forecast the breach. I need the loss capped when it arrives. A bounded evaluation with a hard stop is a position I can hold: a small, defined downside, against an advantage no competitor has priced. I will not put a reputation built over decades behind software I am not allowed to audit.
Start from the physics, not the vendor's diagram. If a model cannot be traced to the equation that generates it, it is a brochure, not a model. Delete every layer that cannot say what it does. The part you remove is the part that never fails.
A hundred true things, and the reader remembers none. The work is deciding what to leave out. One number that changes a decision beats a dashboard that reports fifty. Say the hardest thing first, in the fewest words, and cut whatever survived only because it was hard to build.
Measure what matters, then fund the thing that compounds. Open mathematics is infrastructure: paid for once, and every operator after inherits it. The real test is whether it still holds when you are not in the room, and whether the one who comes next can read it without asking permission.
Go deeper
Search by title, reference code or working group, sort the table, and open what you want. Everything here is published in full and free to read.
Our model is uncompromising. If an Eigenia working group, pilot project, or research track does not reveal non-obvious material dependencies within its bounded evaluation window, or if it fails to accelerate defensible decisions for the leadership responsible, we trigger the stop gate without hesitation.
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Treatise Title & Abstract | Working Group | Access |
|---|---|---|
Kramers ModelApril 20, 2026 Kramers Escape Model: Topological Risk TheoryFokker-Planck potential barriers and stochastic escape rates in critical infrastructure | MP-MATH Mathematical Foundations | |
40 FormulasApril 6, 2026 CDT Mathematical Models — Complete Formula ReferenceComprehensive mathematical formulas across layers L0 through L7 | MP-MATH Mathematical Foundations | |
SHEAF COHOMOLOGYSeptember 13, 2026 Sheaf Cohomology & Topological Fault Localization in Cyber-Physical Distribution GraphsByzantine fault detection as cohomological obstructions, Čech cochain complexes, and Borromean tri-register stability in critical infrastructure networks | MP-MATH Mathematical Foundations | |
THERMODYNAMICSSeptember 13, 2026 Thermodynamic Entropy Production & Irreversible Dissipation in Cascading Grid FailuresNon-equilibrium thermodynamics, Onsager reciprocal relations, Kramers escape dynamics, and critical phase transitions under cyber-physical stress | MP-MATH Mathematical Foundations | |
GAUGE SYMMETRYSeptember 13, 2026 Non-Abelian Gauge Symmetries & Conserved Topological Currents in Interconnected OT MicrogridsDiscrete Lie group connections, covariant difference operators, cycle holonomy curvature, and sub-cycle Aurora reclosure detection on IEC 61850 process buses | MP-MATH Mathematical Foundations | |
FLOER HOMOLOGYSeptember 14, 2026 Symplectic Cohomology & Floer Homology in Cyber-Physical Invariant ManifoldsHamiltonian action functionals, pseudo-holomorphic curves, and topological obstruction theory against cyber-induced microgrid resonance | MP-MATH Mathematical Foundations | |
Stratified LHSSeptember 13, 2026 Graph-Structured Latin Hypercube Sampling: Accelerated Monte Carlo Convergence on Industrial Attack GraphsANOVA orthogonal stratification, dynamic Pareto tail index tracking, and deterministic upper-quantile guarantees in 100,000-node topologies | MP-MATH Mathematical Foundations | |
QUANTUM ISLANDINGSeptember 14, 2026 Quantum-Accelerated Annealing & Ising Hamiltonians for Optimal Grid Islanding SchedulesQuadratic Unconstrained Binary Optimization (QUBO), transverse-field Ising formulations, and sub-cycle graph partitioning during catastrophic grid blackout cascades | MP-MATH Mathematical Foundations | |
THERMODYNAMIC ANNEALINGSeptember 14, 2026 Thermodynamic Simulated Annealing with Levy Flights for Global Grid Islanding ResilienceFinite-time thermodynamic speed cooling schedules, Mantegna heavy-tailed jump diffusions, and graph Laplacian Fiedler spectral stability gating during blackout cascades | MP-MATH Mathematical Foundations | |
Monte CarloApril 13, 2026 Eigenia CDT Monte Carlo Engine: Technical InvestigationImportance sampling, Markov chain random walks, and financial loss distributions | MP-MATH Mathematical Foundations | |
OPERATOR ERGONOMICSSeptember 14, 2026 Operator Cognitive Workload & Real-time Ergonomics in Cyber-Physical Operations CentresInformation-theoretic channel capacity under alarm floods, Yerkes-Dodson arousal dynamics, and actuarial loss mitigations for human-in-the-loop cyber defense | WG-01-UI Cyber Risk Underwriting | |
EXTREME VALUE COPULASSeptember 14, 2026 Extreme Value Copula Distributions for Correlated Kinetic-Cyber Catastrophic SolvencyPeaks-over-threshold GPD marginals, asymmetric nested Gumbel-Hougaard copulas, Solvency II SCR 99.5% capital modeling, and Rule 144A cat bond dual-key parametric triggers, coupon pricing and threshold-signature telemetry oracles | WG-01-UI Cyber Risk Underwriting |
105 more are in the research wiki. Open Research Wiki