The Metric State Equation (The "Top-Hat" Solution)
Academic Concept
Modified Alcubierre Metric (WEC Compliant)
Traditional warp theory requires "Exotic Matter" with negative mass. Our STR-01 system abandons this requirement, utilizing the Rodal/White 2025 shift-vector flows to satisfy the Weak Energy Condition (WEC). By creating a extreme positive toroidal energy density (Tââ) using the MD-01 Z-Pinch, we generate a "soliton" wave in spacetime entirely out of positive energy.
The Geometry: Top-Hat vs Sphere
We do not use a standard Alcubierre "sphere" of distortion. A spherical warp puts immense tidal shear on the vessel. Instead, we use a Top-Hat Function.
This creates a sharp metric boundary (the "Cliff") where the gravity gradient is extreme, but leaves a "Flat-Space Interior" where the ship physically resides.
Scientific Result: The geometry ensures the crew experiences exactly 1g (Earth gravity) and zero relativistic time dilation relative to the destination.