Many people assume that quantum mechanics cannot emerge from classical phenomena, because no-one has so far been able to think of a classical model of light that is consistent with Maxwell’s equations and reproduces the Bell test results quantitatively.

Today Robert Brady and I unveil just such a model. It turns out that the solution was almost in plain sight, in James Clerk Maxwell’s 1861 paper On Phyiscal Lines of Force in which he derived Maxwell’s equations, on the assumption that magnetic lines of force were vortices in a fluid. Updating this with modern knowledge of quantised magnetic flux, we show that if you model a flux tube as a phase vortex in an inviscid compressible fluid, then wavepackets sent down this vortex obey Maxwell’s equations to first order; that they can have linear or circular polarisation; and that the correlation measured between the polarisation of two cogenerated wavepackets is exactly the same as is predicted by quantum mechanics and measured in the Bell tests.

This follows work last year in which we explained Yves Couder’s beautiful bouncing-droplet experiments. There, a completely classical system is able to exhibit quantum-mechanical behaviour as the wavefunction ψ appears as a modulation on the driving oscillation, which provides coherence across the system. Similarly, in the phase vortex model, the magnetic field provides the long-range order and the photon is a modulation of it.

We presented this work yesterday at the 2015 Symposium of the Trinity Mathematical Society. Our talk slides are here and there is an audio recording here.

If our sums add up, the consequences could be profound. First, it will explain why quantum computers don’t work, and blow away the security ‘proofs’ for entanglement-based quantum cryptosystems (we already wrote about that here and here). Second, if the fundamental particles are just quasiparticles in a superfluid quantum vacuum, there is real hope that we can eventually work out where all the mysterious constants in the Standard Model come from. And third, there is no longer any reason to believe in multiple universes, or effects that propagate faster than light or backward in time – indeed the whole ‘spooky action at a distance’ to which Einstein took such exception. He believed that action in physics was local and causal, as most people do; our paper shows that the main empirical argument against classical models of reality is unsound.