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The Projection into Phase‑Space
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The Projection into Phase‑Space
The cotangent‑bundle shadow
The Legendrian knot casts a structured shadow into **phase‑space**, the realm where position and momentum coexist.
The Cotangent Bundle
Phase‑space is modeled as a cotangent bundle: every point in space paired with its momentum vector.
The knot’s projection becomes a **phase‑shadow**, a map of its internal dynamics.
Why Projection Matters
Projection allows:
- measurement without collapse
- structure without geometry
- evolution without loss
The Shadow as Blueprint
The phase‑shadow becomes the blueprint for classical reality, a template from which electromechanical form emerges.
→ Continue to: The Electromechanical Revelation