Abstract
After a four-dimensional Lorentzian Hodge arena and the classical Maxwell gauge platform have been supplied, how much of radiation, photon helicity, quantization, matter, and quantum electrodynamics follows from Complementarity-First structure? This paper gives an assumption-controlled answer. A nonzero source-free null Maxwell plane wave has exact electric/magnetic relationality for its real instantaneous observer fields wherever the field is nonzero: they are transverse, orthogonal, equal in magnitude, and jointly determine the null energy-flow direction. The associated complex phasors obey separately typed Hermitian-norm and time-averaged-flux identities; they are not treated as real vectors. Maxwell superposition nevertheless permits events with nonzero electric field and vanishing magnetic field, so modewise relationality is not a universal pointwise mutual-necessity law. Complex Hodge chirality, frequency sign, and helicity are kept distinct; with fixed conventions, h = σ sgn(ω). Reality reverses chirality and frequency together while preserving helicity, parity reverses helicity, and duality phases the two Hodge sectors without exchanging them. Consequently, parity can close a theory under both helicities, but real classical fields and free-photon Fock space contain pure-helicity states. After the Gauss constraint and gauge quotient, Maxwell Cauchy data carry a nondegenerate cross-symplectic form that structurally realizes the paired Complementarity-First core. Supplying ℏ and a quantization rule yields the CCR/Weyl central extension. The classical pairing does not select ℏ, an operator representation, a vacuum, or a quantization functor. In particular, the electromagnetic Hodge operator J_H acts on two-forms, whereas the positive-frequency complex structure J_PF acts on reduced real phase space and must satisfy symplectic compatibility and positivity; J_H ≠ J_PF. Full symplectic naturality selects no such positive complex structure, and Bogoliubov transformations preserve the CCR while changing state selection. On a supplied stationary Minkowski platform, the one-particle space and bosonic Fock space split into independent h = ±1 sectors. A genuinely quantum complementarity does occur conditionally in compact global sectors: when a nondegenerate torsion/linking pairing is supplied, electric and magnetic flux translations form a finite Heisenberg group and cannot be simultaneously diagonalized. This does not derive compact U(1), a charge lattice, local sources, or a monopole spectrum. Likewise, after matter representations are supplied, gauge covariance constructs scalar and spinor QED classes, while power counting and anomaly cancellation constrain but do not select species, charges, or the electron. A controlled soft-cloud scaling certificate finally shows why a local perturbative action does not by itself furnish physical charged Fock particles. Primitive complementarity therefore organizes several exact classical and quantum correspondences but does not derive ℏ, the vacuum, matter, renormalization, infrared dressing, or full QED.
Where it sits in the release
CEM-P3 closes the electromagnetism arc at the QED boundary. Radiation, chirality, frequency, helicity and quantization are analysed on the supplied platform; the vacuum, matter, renormalization, infrared dressing and full QED are marked as beyond it.
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