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

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 \[ ∂[λFμν]=0, ∂_μ Fμν=μ_0 j^ν, q=Ne_0, N∈ Z. \] 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: \[ Sγ,bulk⁽⁴⁾ = -κ_γ/4 ∫ fμνfμν\,d^4x. \] The absolute coefficient is supplied before comparison by a finite five-rail source theorem: \[ ρ=2πcosπ/8, λ_γ=D_λ\!TG_λ D_λ, κ_γ=8+ρ/2+λ_γ, \] \[ { αQTT⁻¹ =4πκ_γ =137.035999165998 } \] which lies at \(-0.524σ\) 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