MATHEMATICAL FINANCE · RESEARCH

The Causal Transfer Algebra. A Discrete SL(2, ℝ) Operator Framework for Market Microstructure.

2026 · 10.5281/zenodo.20707773 · Open Access


I reject the noise of discretionary consensus. My architecture is built on non-Markovian fractional modeling, identifying non-linear memory patterns across fragmented global markets. By isolating microscopic latency disparities and executing via fractional forecasting algorithms, I enforce multi-jurisdictional liquidity capture with mathematical certainty. Execution isn't an objective. It is a fundamental law.

01

CAUSAL TRANSFER

Information causality across regimes.

02

SL(2, ℝ)

Lie group symmetry structure.

03

DISCRETE OPERATORS

Zero-allocation execution logic.

04

MICROSTRUCTURE

Market physics application layer.

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DOI 10.5281/zenodo.20707773