A Rotational Geometric Foundation for α and μ

A single postulate — that physical reality is fundamentally rotational, such that no displacement exists independently of rotation from a center — forces π as the unique and only admissible unit of the resulting space. From this postulate alone, and without importing any physical assumptions, we derive a geometric correction factor J and demonstrate that both the fine structure constant α and the proton-to-electron mass ratio μ emerge from the same J with opposite dimensional orientations. Numerical agreement with experimental values is achieved to 17 parts per billion for α⁻¹ and to 10 decimal places for μ. The relationship between α and μ through J is structural rather than coincidental, representing the first proposed geometric mechanism connecting these two previously unrelated fundamental constants. U(1) gauge symmetry and the geometric structure of general relativity follow as natural consequences of the rotational postulate.