Maxwell equations and the properties of spatial-temporary continuum

Stepanova T.R., Vahhi E.N.

Peter the Great St.Petersburg Polytechnic University, St.Petersburg, Russia.;

E-mail: Stepanova

This work is an investigation of the properties of space-time continuum. The phase velocity of the wave is a characteristic of the medium in which the wave propagates. Velocity of the electromagnetic wave is an invariant in all inertial frames of reference. This postulate of the relativistic theory is a characteristic of space-time.

Diffraction phenomenon is one of the fundamental features of the wave process. Formal (mathematical) theory of diffraction uses vector algebra and Fourier - transform. Real diffraction pattern exists in the dual (conjugate) space. Therefore: 1) Discrete space is a limited space, and continuity of space is infinity. 2) Vector of space-time and momentum-energy are mutually conjugate vectors. Conjugation of vectors of coordinates and momentum, and also time and energy appears as Heisenberg’s uncertainty principle.

Keywords: Space, time, Maxwell equations, conjugate vectors, Fourier – transform, Fraunhofer diffraction.

DOI: 10.18698/2309-7604-2015-1-502-510

Article file: Stepanova.pdf