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10 September 2015 Absolute relativity in classical electromagnetism: the quantisation of light
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Abstract
A rigorous introduction of the underlying nature of space and time, through a sharpening of the principle of relativity, forces qualitatively new kinds of solutions in the classical theory of electromagnetism. A class of relativistic wave-functions are derived which are solutions to the first-order, free-space Maxwell equation, These describe all photons from radio to gamma waves and are governed by a single parameter: the exchange frequency. Though the theory remains that of classical, continuous electromagnetism, allowed travelling-wave solutions are quantised in that they come in “lumps” and their characteristic energy is proportional to frequency.
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J. G. Williamson and S. J. Leary "Absolute relativity in classical electromagnetism: the quantisation of light", Proc. SPIE 9570, The Nature of Light: What are Photons? VI, 957016 (10 September 2015); https://doi.org/10.1117/12.2188363
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