Hamilton's Principle, Feynman's Path Integral, and the Action Quantum h = 2πℏ as Capacity-Rotor Theorems: A Parameter-Free Derivation from QTT Axioms A1--A7U

Why the path-integral phase is a real action-rotor ledger Version: 2.02 First public release: 9 May 2026 Current release: 26 June 2026 Concept DOI: 10.5281/zenodo.20098143 Author: Ali Attar Website: quantumtraction.org Main book anchor: Quantum Traction Theory: Main Book v10.01 The standard path integral weights histories by a phase, and the classical path is recovered by stationary action. This paper asks whether those two familiar facts are separate postulates or one source-side rotor rule. The QTT action dial begins with \[ d\theta={dS\over\hbar}, \] so the laboratory complex phase is the readout of a real source rotor, \[ R_J(\theta)=\cos\theta\,I+\sin\theta\,J, \qquad J^2=-I, \qquad J^T=-J. \] The…