RSH⁸ · SEPARATELY VERSIONED NUMERICAL RESEARCH

Full Frenet–Serret Path on WebGPU

A 1,025-point f64 Rust/WASM Lie-midpoint reference is compared with a complete f32 WGSL path recurrence: position, tangent, normal, binormal, curvature, torsion, frame projection, and midpoint centering.

Correctness milestone, not a speedup claim. The current GPU kernel uses one invocation because the path is recurrent. It never creates the canonical geometry receipt.
f64 RUST/WASM PATH LOADING
f32 WEBGPU PATH NOT RUN

f64 reference f32 GPU readback drag the view · midpoint frame shows T / N / B

Path-level residual evidence

Position component
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Frame component
—
κ / τ schedule
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Frame norm
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Frame orthogonality
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Adapter: detecting…

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Declared integration policy

  1. Evaluate bounded κ and τ at each interval midpoint.
  2. Advance the orthonormal frame with the SO(3) exponential map.
  3. Advance position using the midpoint tangent.
  4. Apply modified Gram–Schmidt after each full frame step.
  5. Translate the exact discrete midpoint to the origin.
  6. Read the entire GPU path back and compare every stored component.