Mathematics · Code · Delivery
Brigitte Coles
I build at the intersection of systems, intelligence, and value. My work spans consulting operating realism, knowledge architecture, agentic systems design, human and institutional intelligence, and finance-linked value creation.
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Constraint Surface Governance
Patent PendingThe only governance architecture that catches novel agent actions by boundary geometry rather than rule enumeration — making incompleteness a solved problem.
Restorative Governance
Patent PendingThe only multi-agent governance protocol where nobody decides — topology governs, trajectories reshape, and utility survives enforcement.
Proof over Inspection
Patent PendingAgents prove their own compliance cryptographically — verification cost stays constant while inspection cost scales linearly with agent count.
Failures as Theorems
Patent PendingSome multi-agent failures are not bugs but cohomological obstructions — mathematical theorems that no amount of debugging resolves.
10x10 Domain Intelligence
Patent PendingTen mathematical operations discover what organizations must become — not inventory what exists, but surface the Becoming layer no EA framework addresses.
Fractal Design
Patent PendingSame I/O contract at every scale — single agent, cluster, value stream all expose the Brick Contract, eliminating architectural refactoring at each composition level.
Void Topology
Patent PendingDiagnoses what is absent, not what is present — cohomological obstructions in structured absence map deterministically to corrections at t=0.
Harmonic Alignment
Patent PendingAI alignment on a substrate where the mathematics itself distinguishes safe from unsafe — syntonic comma bounds replace arbitrary hyperparameters.
Exploit-Proofing Triad
Patent PendingThree control architectures that change equilibrium violation rates — not monitoring costs — validated against $5B+ in governance failures.
AgentOS + Governance Engine
Patent PendingConstitutional agent OS where governance is structural, not bolted on -- 76 tests, 8 packages, patent-protected.
Simiya (Platform + SimiyaID + Discovery Hub)
Patent PendingOntological discovery platform that finds what must exist, not what already does -- 264 tests, 3 products, swarm architecture.
FORGE
Pipeline app builder that makes AI workflows repeatable, not artisanal -- Glyph Design System, Next.js, Vercel-deployed.
Proforma Intelligence
Patent PendingHybrid financial diagnostic where deterministic computation constrains what AI can say -- Steps 2-3 zero AI calls.
ATLAS
Methodology delivery wizard where consulting IP is the application, not a slide deck -- 6 stages, Fractal Canvas, PDF export.
Practice OS
MCP server that makes consulting knowledge compound instead of evaporate -- 38+ tools, 253-entity graph, 112 tests.
Self-Learning Agent
Patent PendingFour-loop autonomous learning architecture where agents grow capabilities without modifying core axioms -- Python, soul seed governance.
Companion Daemon
Always-on background agent that detects drift when it happens, not when you ask -- continuous practice intelligence.
Intent Architecture Studio
Memory-native content architecture tool that starts from business structure, not keywords -- 7-step analysis, Supabase-backed.
AgentOS MCP Bridge
Scope multiplexer that presents 13 internal servers as one endpoint -- the architectural prerequisite for AgentOS distribution.
The Revolution Will Not Be Prompted
Cognitive means of production relocated from firm to worker. Process Intelligence Graph is the new defensible asset. SSRN-5851725.
The Cost of Rationality in Agentic Systems
95% AI failure rate is Nash equilibrium, not engineering gap. Three-layer multiplicative model predicts it from game theory first principles.
Trust and Risk Asymmetry
Penalty severity cannot reduce violation rates — only audit frequency. Formal proof: m = 1/(1+x), compliance p = k/b regardless.
Resonant Multi-Graph Agentic System
Enterprise as six interconnected graphs. AI agents as validated graph transformations inside a deterministic structural envelope.
Balancing Intelligence
AI paradox formalized as strategic equilibrium. AI Strategic Balance Frontier maps efficiency vs. productivity with contextual moderators.
The Financial Impact of Change Climate
Change climate indicators as leading financial signals. Many-to-many causal mapping with 2-3 quarter predictive lead time over P&L.
WTP Regression / Computing Intent
1,820 opportunities, R² = 0.850. Engagement type and buyer persona drive pricing; practice ownership does not. Empirical proof.
Brachistochrone-Optimal Steering
Patent PendingConfiguration spaces have Riemannian geometry induced by Trust Ledger history. Brachistochrone path beats batch re-optimization. Patent-protected.
Put-Call Parity as Knowledge Consistency
Patent PendingParity invariant R_A(f) - R_B(f) = S(f) - K(f)·δ(t) replaces consensus rounds with continuous violation monitoring. Patent-protected.
Coordination Failure in Multi-Agent AI
5-10% AI success rate is predicted Nash equilibrium. Three mechanism design interventions with formal parameter thresholds shift it.
The Private Equity AI Thesis
Patent PendingCoG methodology for PE mid-market ($50M-$500M). EBITDA attribution at decision-density nodes within 100-day operating review. Patent-protected.
The Leadership Imperative in the Age of AI
Davis's inquiry-ensemble model extended with three structural layers for AI-era leadership. Operating system, not disposition.
Knowledge Architecture & Ontology
Patent PendingFull-stack knowledge systems: formal ontology + computable entity graph + mathematical discovery + research pipeline — 253 entities, 248 links, 3 deployed products.
Agentic System of Systems
Patent Pending9 imperatives, 9 papers, 17 products — the only enterprise AI architecture with mathematical formalization for governance, composition, verification, and alignment.
Intelligent Operating Models
Patent PendingOperating models where AI agents are structural participants, not tools — CoG-level EBITDA attribution within 100-day PE review windows. 12 client engagements.
Financial Value Creation & Capture
Patent PendingAI value attributed at CoG level with causal mechanism chains, not aggregate ROI — R²=0.850 WTP regression, $5B+ failure analysis, PE-grade financial modeling.
Ma'at Gate Protocol
Patent PendingFractal governance operator: identical at every scale, restorative not punitive, ZK-attested at each evaluation.
Constitutional Governance Engine
Patent PendingRuntime enforcement of 8 axioms, boot state machine, manifold, and cryptographic seal. Governance as structure, not policy.
Trajectory Reshaping Architecture
Patent PendingRestorative correction mechanism: computes corrections from obstructions and curves trajectories back within bounds.
Fractal Attestation Network
Patent PendingRecursive ZK proof aggregation via Merkle tree structure. O(1) verification regardless of agent count.
ZK Trust Ledger
Patent PendingDistributed proof chain carrying ZK attestations. No central registry, no single point of compromise. Dual-role: verification and geometric optimization.
Operadic Configuration Analysis
Patent PendingOperad theory + sheaf cohomology to detect permanent, non-patchable failure modes in composed agent systems.
Simiya Methodology (Being/Doing/Becoming)
Patent Pending10 operations x 10 invariants x Being/Doing/Becoming. Generative ontological discovery, not inventory mapping.
Brick Contract
Patent PendingFlat, semantically typed, scale-invariant interface contract. Same I/O at single agent, cluster, and value stream.
CoG Hierarchy Pattern
Patent PendingComputational identification of decision density nodes. 6-10 CoGs in mid-market vs 20+ in enterprise. PE-native scope.
Void Topology Heartbeat Protocol
Patent PendingStructured absence detection via void geometry. The shape of what is missing encodes causal information positive-space tools cannot.
Negative Observability Framework
Patent PendingSheaf-theoretic observability for structured absence. Instruments what is not happening with the rigor applied to what is.
Harmonic Soul Architecture
Patent Pending12 governance dimensions on musical frequency ratios. Syntonic comma (21.5 cents) formalizes irreducible misalignment bounds.
Runtime Temperament Engine
Patent PendingDynamic tuning across 12 governance dimensions. Distributes comma budgets, detects wolf intervals, adapts to operational conditions.
Exploit-Proofing Frameworks
Patent PendingThree control architectures replacing penalty-based governance. Stochastic enforcement, commitment crystallization, safety predicates.
Proforma Engine
7-tab PE financial diagnostic workbook. Compute-first-write-values discipline eliminates formula fragility in AI-generated models.
Agentic Operating Model
Organizational redesign around AI agents. Agent PODs at Centers of Gravity, 23 canon schemas, task contracts, lifecycle registries.
Content Engine Pipeline
5-stage research-to-distribution pipeline with stage-gate governance, velocity metrics, and bottleneck detection via 12 MCP tools.