Independent Quantitative Research Institute

Non-Linear Dynamics, Phase-Space Attractors & Behavioral Microstructure

Advancing the frontiers of chaotic dynamic systems, empirical market physics, and algorithmic behavioral governance. Home of the Sepaul Phase-Space Attractor Model and the Retail Self-Destruction Index (Ω).

Download Inaugural Working Paper (PDF) Explore Applied Technology (SunriseRMGR)

Inaugural Research Publication

WP-2026-01 SSRN eLibrary ORCID: 0009-0005-9817-2488 JEL: C58, C61, D81, G41 AMS: 37D45

Sistemas Dinâmicos Não-Lineares, Atratores em Espaço de Fase e a Mecânica Adversarial de Liquidez em Mercados Financeiros

By Mikael Bradford S. R. Sepaul · Sepaul Research & SunriseMGR Governance · September 2026

Este artigo introduz uma formulação quantitativa original que conecta a teoria dos sistemas dinâmicos caóticos, o espaço de fase reconstruído de séries temporais financeiras e a microestrutura de mercado adversarial. Demonstra-se matematicamente que a linha Tenkan-sen (Tt) atua como um atrator determinístico estrutural de curto prazo retroalimentado pela ineficiência e viés cognitivo do fluxo de varejo (efeito disposição e aversão à perda assimétrica). Apresenta-se a dedução formal da deformação elástica (Δt), a fita harmônica WMA 14/35/137, a parametrização de regimes via Expoente de Hurst (H50) e a formulação do Índice de Autodestruição Varejista (Ωt).

Elastic Strain Metric
Δt = |Pt - Tt| / σt
Hurst Exponent Window
H50 (Rescaled Range R/S)
Retail Destruction Index
Ωt = Δt × (SL/TP) × Ψ
Harmonic Ribbon
WMA14 × WMA35 × WMA137

Core Research Pillars

01 / DYNAMICS

Phase-Space Attractors

Reconstruction of financial phase spaces via Takens' Embedding Theorem. We mathematically model technical benchmarks not as static filters, but as energetic equilibria acting as thermodynamic vortices.

02 / BEHAVIORAL

Adversarial Microstructure

Formal mathematical modeling of retail order flow biases—Disposition Effect, Asymmetric Loss Aversion, and late momentum chasing—as the entropic biomass feeding institutional liquidity pools.

03 / INERTIA

Harmonic Resonance Ribbons

Triple-tier linearly weighted moving average manifolds (WMA 14, 35, 137) calibrated to microstructural order flow velocities, isolating true trend expansion from stochastic range compression.

04 / GOVERNANCE

Forensic Cognitive Brakes

The Non-Prescriptive Risk Doctrine: eliminating predictive signals to prevent dopamine-fueled overtrading. The engine serves strictly as a real-time behavioral mirror with automated cognitive quarantines.

Applied Technology: SunriseRMGR

Institutional Production Engine

The Real-World Incarnation of Sepaul Dynamics

SunriseRMGR is a high-performance, low-latency execution and forensic auditing cockpit built in native Rust. It operates as an impenetrable black box, computing all non-linear dynamics, Hurst exponents, and Ωt metrics server-side in under 10 milliseconds.

  • Sub-10ms Native Rust Truth Engine (Zero GC overhead)
  • MetaTrader 5 Zero-Overhead Telemetry (AuditorSentinela v1.07)
  • 5-Tab Integrated Cockpit (Live HUD, Position Radar, Confluence, Post-Trade, Ledger)
  • Tamper-Evident SHA-256 Ledger with AES-256 encrypted storage
// Sepaul Dynamics · Forensic Runtime Architecture
$ cargo test --workspace --release
✓ 34/34 benchmarks passing [0.42ms latency]
[STREAM] MT5 Zero-Overhead IPC · Synced
[KERNEL] Phase-Space Embedding: Takens Manifold
[METRICS] Entropy & Order Flow Manifolds Evaluated
[LEDGER] SHA-256 Merkle Block Sealed: 0x7f4a...e9b1
[GOVERNANCE] Behavioral Breach -> Handbrake Engaged
[STATUS] Cognitive Quarantine Active (Cool-down)

About the Founder

MS

Mikael Bradford S. R. Sepaul सेतपाल

Founder & Lead Quantitative Researcher

Independent researcher specializing in non-linear dynamical systems, chaotic attractors in financial microstructures, and behavioral risk engineering. Creator of the Sepaul Phase-Space Attractor Model, the Retail Self-Destruction Index (Ω), and the SunriseRMGR institutional governance framework.