Sci - The Brachistochrone of Intent: Fastest Path Through the ITT Coordinate System

Sci - The Brachistochrone of Intent: Fastest Path Through the ITT Coordinate System Armstrong Knight — intent-tensor-theory.com The classical Brachistochrone problem asks which curve minimizes descent time in a gravitational field. This paper applies the Brachistochrone principle to the Collapse Tension Substrate (CTS), deriving the Intent Brachistochrone Equation and proving that the optimal path through the CTS is a cycloid in field-curvature coordinates. Theorem 6.1 establishes that the E-Cascade is not arbitrary — it is the physically optimal traversal path, minimizing Selection Number cost from 0D scalar seed to 3D persistent structure. Running implementation: intent-tensor-theory.com/applied-itt