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RequiemLaw. Market Topology & Phase Space Analyzer

This module is part of the Requiem Finance ecosystem. It transforms market noise into mathematical topography, allowing traders to visualize hidden attractors and market memory.

Traditional technical analysis is limited by its linear nature—observing price as a simple function of time. Requiem Topology breaks this limitation by embedding time-series data into a high-dimensional Phase Space.Manifold Reconstruction: By utilizing a delayed-coordinate embedding, we reconstruct the underlying market manifold, revealing the dynamical system's "attractors" that are invisible on standard OHLC charts.

📊 Dynamic Visualization

3D Structural Motion

RequiemVisualizer.mp4

Static Topographical Render
Market Topology Image


🧠 Core Concept: Phase Space Embedding

Distance Matrix Computation: We compute a global distance matrix using the Euclidean metric, $D_{i,j} = || \vec{X}_i - \vec{X}_j ||$, comparing every historical price vector against every other.Topological Interpretation:Deep Blue Basins: These represent Recurrence Plot "valleys" where the current market regime mirrors a historical pattern with high fidelity, indicating strong market memory.Crimson Peaks: These signify unique topographical shifts or "phase transitions," often occurring during black swan events or regime-breaking volatility where the market enters an unexplored state. ##🚀 Key Features & Quantitative Capabilities

  • Non-Linear Feature Extraction: Processes time-series data into high-dimensional phase space vectors to extract non-linear structural features that standard indicators miss.

  • High-Resolution 3D Topographical Rendering: Leverages an optimized Matplotlib 3D engine with spectral colormaps to provide a tactile sense of market density and resistance.

  • Market Memory Detection: Identifies hidden recursive patterns and "attractors" in the price action that are completely invisible to the naked eye on 2D charts.

  • Regime Shift Visualization: Provides a visual early-warning system for regime shifts; when the terrain becomes jagged, it signals that historical correlations are breaking down.

  • Adaptive Normalization: Implements min-max scaling to ensure structural patterns are detected regardless of the asset's nominal price level or historical timeframe.

  • Quant-Ready Architecture: Designed as a modular component for the Requiem Terminal ecosystem, facilitating integration with automated trading systems.

🛠️ Installation & Usage

  1. Clone the repository and install dependencies:
pip install yfinance
pip install numpy
pip install matplotlib
pip install scipy

License

Copyright © 2026 RequiemLaw. All rights reserved.

About

An advanced quantitative finance tool that transforms market noise into mathematical topography. By mapping BTC-USD price vectors into a 3D distance matrix, this module reveals hidden attractors and repetitive geometries within the market's phase space.

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