The mechanical properties of a binary photon can be described by transverse and longitudinal wave functions that give the positions and velocities of the semiphotons that make up a binary photon. The electromagnetic properties of the binary photon can be determined with the aid of Gauss's law of electricity by assuming that the two semiphotons have equal and opposite electrical charge, and consequently, they act as sources and sinks to produce electric and magnetic fields. The binary photon has a large transverse polarized electric field and a smaller longitudinal electric field. Magnetic fields are associated with the two electric fields. The associated electric and magnetic fields are a quarter of a wavelength out-of-phase, which is consistent with Faraday's law and the Ampere-Maxwell law. By assuming that light was electrically neutral due to the absence of charge, Maxwell proposed that the electric and magnetic fields produced by electrically-neutral light were orthogonal and in-phase. By contrast, the out-of-phase electric and magnetic fields found within the binary photon are a consequence of assuming that the electrical neutrality of light is due to the possession of equal and opposite charges. The strengths of the electric and magnetic fields are related to the wavelength of the binary photon. The transverse electric field (E-y) of the monochromatic binary photon is linearly polarized, the longitudinal electric field (z) is unpolarized, and the magnetic fields (B-xz, B-xy) are best represented by circulations or curls. The quantized three-dimensional electric and magnetic fields of a binary photon are able to interact with the quantized three-dimensional electric and magnetic fields of another binary photon as observed interference phenomena demand. However, complete destructive interference is only attainable if a given beam contains equal numbers of binary photons with oppositely-directed angular momenta. In retrospect, this makes sense since randomly arranged emitters will emit binary photons with opposite angular momenta with equal numbers. This suggests that the direction of angular momentum may be a hidden variable of light. The binary photon interprets the wave-particle duality of quantum mechanics in a way that makes it possible to visualize simultaneously the wave and particle properties of light as waves and two particles, where the electromagnetic waves are produced by two electrically-charged particles. This differs from the standard model where light is visualized as a wave or a particle. The visualizability of the semiphotons and the electromagnetic fields they generate within the binary photon makes Born and Heisenberg's claim that the microscopic quantum mechanical world must be fundamentally indeterminate, acausal, and unpicturable unwarranted.