Maxwell's equations and quantum entanglement from the topology of spacetime

Internal spacetime was recently introduced with the aim of modeling quantum phenomena using metrics that are degenerate along particle worldlines. We show that cohomology sees these degenerate worldlines as holes in spacetime, and from this Maxwell's equations naturally appear. We also derive Malus's law and the quantum correlations of entangled pairs of electrons and photons from the spacetime topology. In particular, electromagnetism and spin entanglement have the same topological origin. Moreover, the spacelike correlations central to entanglement result from the new source of time dilation inherent in the geometry.