2D topological photon representation and coherent ordering

Astronomy and Astrophysics – Astrophysics

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Scientific paper

Quasi-(2+1) dimensional space-time configuration is presented as a photon model. The configuration is governed by the ultimate relativistic condition [1] in its critical central point as a prerequisite for the configuration' stability under Lorentz transformaitons. In the frames of the model, a photon is represented as a localized quasi-two-dimensional spatio-temporal topological object, leading to the Doppler effect behaviour in the case it propagates with light velocity only. Overall topological charge of the configuration is zero because of the two-dimensionality. The photon spin is represented as configuration' rotation around the propagation direction; the only permissible rotation period corresponding to the photon wavelength. The ordered one-dimensional superposition of single-photon configurations along propagation direction is considered. It is shown to compose a restricted stable coherent harmonic-type packet which wavelength equals to the constitutive photon configurations' wavelength. The minimum photon packet width in the frames of the model corresponds to the photon wavelength as the characteristic size. Two- and three-dimensional coherent superpositions of single-photon configurations are shown to form some types of photons ordering symmetry inside the coherent packet: flat, inclined, spiral, which correspond to the photon packet polarization type. Photons ordering density in transversal directions is shown to be unlimited due to its quasi-two-dimensional nature. 1. A.Khodin. Hierarchical model of elementary symmetries in configurational approach. EPS-11: Trends in Physics. 11th Gen. Conf. of Eur. Phys. Soc. London, UK, 6-10 Sept.1999.

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