The Holographic Phase Selection Principle: Deriving the Born Rule and Weinberg Angle from 4-Bit Boundary Geometry

Key Points

• To derive the Born Rule and the Weinberg angle from a novel geometric principle related to boundary geometry.
• Derived the Born Rule from the boundary-area fraction using Hooke's law.
• Calculated the Weinberg angle using the consistency condition with a specific Poisson ratio.
• Demonstrated the Born Rule as a boundary-area fraction from elastic Planck-tile membrane principles.
• Established the Weinberg angle as sin²θ_W = 3/13 through the derived Poisson ratio condition.