The Geometric Origin of Planck’s Constant

We show that Planck’s constant \( \hbar \) arises as an intrinsic curvature invariant of spacetime rather than a fundamental postulate of quantization. Within Chronon Field Theory (CFT), a pre-geometric framework based on a microscopic temporal field \( \Phi^{\mu} \), quantization, spin, and statistics emerge from the symplectic geometry that defines causal order and phase coherence. The same curvature dynamics that stabilize Lorentzian structure also quantize the action and establish the topological origin of intrinsic angular momentum and exchange phases.In this formulation, \( \hbar \) is a universal curvature modulus—the minimal symplectic flux of the chronon manifold—governing commutation, spin quantization, and photon polarization alike. Spacetime and matter arise as successive phases of a single geometric order: (i) a disordered pre-geometric vacuum; (ii) a Planck phase where solitons condense and fix the invariant \( \hbar_{\mathrm{geom}} \); (iii) a quantum phase supporting canonical commutation and gauge symmetry; and (iv) a macroscopic decohered regime.In CFT, \( \hbar \) is identified with the invariant symplectic area of the chronon curvature manifold, linking causal structure, matter formation, and quantum coherence within a unified geometry.We demonstrate that, in a case study of the analytically solvable 1+1D CFT, numerical simulations confirm that the plateau value of the effective action \( \hbar_{\mathrm{eff}}^{(\mathrm{plateau})} \) equals the analytic soliton minimum \( S_{\min}^{(1+1)\mathrm{D}}=8\mu \), validating the geometric origin of the Planck constant.