Maxwell Dynamics from the Monadic Real-J Address Dial: A QTT Axiom-to-Field Theorem with Source-Derived Photon Stiffness

Abstract

From a compact internal dial to Maxwell's equations and a frozen photon stiffness The paper asks a precise foundations question: once a local compact phase dial, finite per-address capacity, and local Lorentz readout are fixed, how much of electrodynamics remains free? The resulting leading infrared field system is \[ \partial_{[\lambda}F_{\mu\nu]}=0, \qquad \partial_\mu F^{\mu\nu}=\mu_0 j^\nu, \qquad q=Ne_0, \quad N\in\mathbb Z. \] The homogeneous pair follows from the curvature identity of the required connection. The inhomogeneous pair follows from the unique propagating dimension-four bulk operator, while the constant parity-odd term remains a boundary/topological functional: \[ S_{\gamma,\mathrm{bulk}}^{(4)} = -\frac{\hbar\bar\kappa_\gamma}{4} \int f_{\mu\nu}f^{\mu\nu}\,d^4x. \] The absolute coefficient is supplied before comparison by a finite five-rail source theorem: \[ \rho=2\pi\cos\frac{\pi}{8}, \qquad \lambda_\gamma=D_\lambda^{\!T}G_\lambda D_\lambda, \qquad \bar\kappa_\gamma=8+\frac{\rho}{2}+\lambda_\gamma, \] \[ \boxed{ \alpha_{\rm QTT}^{-1} =4\pi\bar\kappa_\gamma =137.035999165998 } \] which lies at \(-0.524\sigma\) from the CODATA 2022 inverse fine-structure constant. The observed value is excluded from the constructor and enters only after the source result is frozen. The paper includes the complete dimension-four operator enumeration, the photon-edge-to-kinetic-coefficient placement theorem, the charge/winding and visible-mass firewall, the Coulomb and Lorentz-force derivations, eleven falsifiers, a dimensional appendix, and an 80-decimal numerical certificate. Scientific status MAXWELL-LEADING-INFRARED-DERIVATION-CLOSED PHOTON-STIFFNESS-SOURCE-CONSTRUCTOR-CLOSED STANDARD-ELECTRODYNAMICS-RECOVERED INVERSE-ALPHA-CODATA-CORRIDOR-GREEN ULTRAVIOLET-COMPLETION-NOT-CLAIMED Concept DOI: 10.5281/zenodo.20060666 Main book: Quantum Traction Theory, v10.01 Website: quantumtraction.org | Lexicon | Derivation Atlas | Two Universes