Phylax Matrix Framework
The Four Horsemen: Foundation of Universal Detection
The Phylax Matrix establishes a domain-agnostic framework that unifies detection across all operational contexts through four time-dependent functional metrics. These metrics transform raw combinatorial data into a geometric object a risk manifold enabling universal threat characterization. While different industries observe different physical substrates (financial transactions, power grid flows, supply chain logistics), the underlying mathematics remains identical, providing a consistent analytical foundation across domains.
F(t): Flow
Quantifies how mass, charge, value, or information actually moves through the network over time. Captures the dynamic transport of conserved quantities across system topology, revealing patterns of resource distribution and transfer that may indicate anomalous behavior or emerging threats.
Q(t): Quantum State
Measures how well flows respect physical laws, constraints, policies, and mission objectives the effective superposition of allowable states. Encodes the degree to which system behavior conforms to operational boundaries and regulatory frameworks at each moment in time.
C(t): Coherence
Assesses how aligned or misaligned different system components are with each other multi-point, multi-scale coordination. Detects breakdowns in synchronization that precede systemic failures, measuring the degree of functional unity across distributed network elements.
E(t): Entropy
Tracks how rapidly uncertainty, disorder, or risk is growing and where it concentrates in state space. Identifies regions of accelerating instability and quantifies the rate at which predictability degrades, providing early warning of phase transitions in system behavior.
Key Insight: These four metrics collectively define a coordinate system on the risk manifold, enabling rigorous geometric analysis of system states and trajectories. Anomalies appear as curvature singularities or geodesic deviations in this space.