Quantization Without Postulates: Deriving ℏ from Phase Winding

Planck’s constant is usually introduced as a fundamental postulate of quantum theory. In this work, we derive analytically from a topological action principle, showing that it emerges as the minimal quantized action required to stabilize a coherent spinor phase configuration. We model the field as Ψ(x) = ρ(x) eiΘ(x), where Θ(x) is a compact scalar valued on S¹. Within this framework, we define the class of minimal winding configurations C1/2, characterized by half-integer topological charge ∮_γ ∂_μ Θ\, dx^μ = π. We demonstrate that the least non-vanishing action over this class is finite, topologically invariant, and equal to . This implies that is not a postulate, but a phase-ontological consequence of topological fixation. We further analyze connections with Aharonov–Bohm phenomena, persistent phase currents, and quantized interference effects as physical manifestations of discrete winding. Our results open a new perspective on quantization grounded in global phase topology.