Theoretical analysis reveals a two-dimensional zero-volume structure for free photons, indicating testable angular dependencies in two-photon annihilation experiments.
Key Points
Formulate a self-consistent ontological model of the free photon by differentiating bound electromagnetic waves from intrinsic radiation fields within Maxwell's electrodynamics.
Analyzed Maxwell's equations and the d'Alembert wave equation to evaluate self-consistent source conditions for dispersion-free propagation at the speed of light.
Modeled the photon's field-source as an equivalent charge-current density confined to a two-dimensional geometric surface with zero three-dimensional volume.
Demonstrated that free electromagnetic photons require non-zero charge-current sources restricted strictly to a two-dimensional surface where net integrated charge remains zero.
Showed that the electromagnetic field vanishes outside the photon plane, resolving theoretical bound-field contradictions in classical electrodynamics.
Predicted that the cross-section for two-photon annihilation into electron-positron pairs depends on the relative geometric angle between the photon planes, a phenomenon absent in standard quantum electrodynamics.