We extend the Relativistic Field Theory of Primes by identifying the motivic object at thecentral cusp of the adelic upper half-plane — the non-orientable homology cycle γ pairedwith its divergence-free cohomology current JAudit, under the M¨obius twist correspondenceτ : γ 7→ −γ — as the intrinsic adelic Planck constant ℏA. This single topological object supplies the fundamental unit of action. It quantizes the adelic phase space via the commutator [τ, γ] = iℏAΩ, deforms the constitutive tensors εA and µA, derives the elementary charge eA from the holonomy around the minimal twist loop, and yields the fine-structure constant αA as a pure geometric ratio. Starting from the twisted Lorentz oscillator as the microscopic probe, the theory builds upward: the Bernoulli irregularity at weight 12 (prime 691) sets torsional rigidity, entropy gradientsdrive probabilistic flow, and the resulting entropic force produces Einstein-Cartan geometryas a thermodynamic equation of state (Jacobson-style). The same motivic object that quantizes the adelic phase space also defines the vacuumproperties and the coupling constant, providing a self-contained geometrization in whichclassical spacetime, quantum spin statistics, and Standard Model parameters emerge fromthe fundamental duality between analytic volume and algebraic rigidity.