The Science Behind the System

Peer into the mathematical foundations. These papers explain how we transform finance into navigable topology.

Showing 6 of 6 articles

Featured
Case Study
Topological Analysis of Market Volatility
Dec 15, 202412 min read

Topological Analysis of Market Volatility

Examining how topological data analysis reveals hidden patterns in market volatility during crisis periods

TDAVolatilityCrisis Analysis
Featured
Technical Analysis
Kinematic Momentum Tracking in High-Frequency Data
Nov 28, 202415 min read

Kinematic Momentum Tracking in High-Frequency Data

A novel approach to momentum analysis using forward kinematics principles applied to microsecond-level market data

KinematicsHFTMomentum
Featured
Mathematical Framework
Quaternion State Encoding for Financial Time Series
Oct 15, 202418 min read

Quaternion State Encoding for Financial Time Series

Mathematical framework for encoding OHLC data as quaternions to enable advanced geometric analysis of market states

QuaternionsState EncodingGeometry
Case Study
Persistent Homology in Cryptocurrency Markets
Oct 1, 202410 min read

Persistent Homology in Cryptocurrency Markets

Applying topological methods to identify regime changes in highly volatile digital asset markets

CryptocurrencyRegime ChangeTDA
Technical Analysis
Forward Kinematics for Trend Prediction
Sep 15, 202414 min read

Forward Kinematics for Trend Prediction

Using kinematic chains to model and predict momentum propagation through market structures

Trend PredictionKinematicsMomentum
Pattern Recognition
Shape-Based Pattern Recognition in Markets
Aug 20, 20249 min read

Shape-Based Pattern Recognition in Markets

Moving beyond traditional technical analysis to identify patterns in data topology

Pattern RecognitionShape AnalysisTopology