The Navigation Framework

How our API turns raw market data into geometric intelligence. These are the building blocks you can combine and extend.

01 — State Encoding

Candlesticks → Quaternions

Every OHLC bar becomes a quaternion state in 4D space. Our API handles the transformation; you query the geometric representation. No more parsing CSV files.

See Live Encoding

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01 — State Encoding

From candlesticks to quaternions

02 — Forward Kinematics

Momentum as Motion Paths

Track price momentum like a drone tracks its trajectory. The API computes kinematic chains through data space, revealing momentum structure invisible to traditional indicators.

Visualize Paths

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02 — Forward Kinematics

Mapping momentum paths

03 — Inverse Kinematics

Optimizing for outcomes

Forward kinematics shows where momentum leads. Inverse kinematics works backwards from desired outcomes to find optimal parameters. This enables systematic backtesting and strategy optimization using kinematic principles.

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03 — Inverse Kinematics

Optimizing for outcomes

04 — TDA Precursor

Pattern Recognition in Data Shape

Topological Data Analysis finds patterns in the market's geometry. Our API computes persistent homology in real-time—you get early warning signals before price confirms.

Explore TDA Engine

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04 — TDA Precursor

Finding shape in noise

05 — Signal Dashboard

Integrated signal generation

Bringing it all together: the signal dashboard combines state encoding, forward kinematics, and topological analysis to generate actionable trading signals in real-time.

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05 — Signal Dashboard

Integrated signal generation

See it in action

Explore our research and case studies to see how these concepts apply to real market data

View research