Derived from a single axiom
Markets Are Gases. Portfolios Are Circuits.
A computational framework grounded in bounded phase space, from which the complete thermodynamic, information-theoretic, and circuit-theoretic description of financial markets follows by mathematical necessity. One axiom. Zero adjustable parameters. Every prediction validated.
Bounded phase space. Everything else follows.
No curve fitting. No adjustable constants. Pure mathematics.
Every testable prediction confirmed experimentally.
CTN, STN, GCF, Representations, Portfolio, DTI, Temporal Arbitrage.
The Chain of Implications
From a single empirical fact, the entire framework follows by mathematical necessity.
Seven Core Systems
Unified by the fourth-stomach architecture: circulatory processing with bidirectional flow.
Circulation Transaction Networks
Batch settlement via graph reduction. Kirchhoff's current law enforces conservation. O(n log n) complexity.
Shadow Transaction Networks
FFT harmonic coincidence detection transforms transaction trees into correlation graphs revealing hidden market structure.
Graph Completion Finance
Shadow network reveals missing flows. Directed loans complete the graph. The loan IS the flow.
Multi-Modal Transformations
Circuit, sequence, gas molecular, and shadow representations. >95% information preservation across round-trips.
Fuzzy Oscillatory Circuit Graphs
Contraction mapping on fuzzy state tuples converges to time-invariant optimal allocation via Banach fixed-point theorem.
Distributed Thermodynamic Index
The partition function of the market gas. Every observable is a derivative. Phase transitions predict crashes.
Temporal Arbitrage
Intraday capital optimisation. Settlement certainty >99%. Capital reuse multiplier ~3-4x per trading day.