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A photon-like wavepacket with quantised properties based on classical Maxwell's equations

John E. Carroll
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Abstract

A photon-like wavepacket based on novel solutions of Maxwell's equations is proposed. It is believed to be the first 'classical' model that contains so many of the accepted quantum features. In this new work, novel solutions to Maxwell's classical equations in dispersive guides are considered where local helical twists with an arbitrary angular frequency W modulate a classical mode (angular frequency w, group velocity vg). The modal field patterns are unchanged, apart from the twist, provided that the helical velocity vh equals vg. Pairs of resonating retarded and advanced waves with modal and helical frequencies (w,W) and (w,-W)respectively, trap one temporal period of the underlying classical mode forming a photon-like packet provided W = (M+1/2)w: 'Schrodinger' frequencies. This theory supports experimental evidence that the photon velocity does not change with M in dispersive systems. Promotion and demotion increase or decrease the helical frequencies in units of w. An energy of interaction between retarded and advanced waves in the wave-packet is also proportional to these helical frequencies W = (M+1/2)w similar to Planck's law. Group velocity and polarisation are unaffected by the value of M. Advanced waves enable phase and polarisation to be predicted along all future paths and may help to explain the outcomes of experiments on delayed-choice interference and entanglement, without causality being violated.

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John E. Carroll. 2006-09-20. A photon-like wavepacket with quantised properties based on classical Maxwell's equations. https://arxiv.org/abs/quant-ph/0609156

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