De Broglie’s Wave in Space and Time

Jonáš Kulhánek

Tony Lyons

Volodymyr Bezverkhniy, Vitaliy Bezverkhniy

Bezverkhniy Volodymyr Dmytrovych, Bezverkhniy Vitaliy Volodymyrovich.

Using de Broglie waves of elementary particles it is shown how is formed in the Universe. The definitions of the concepts time and space are given. Time is a simple duration of the process of oscillation of microparticles, which is fixed at a certain point in space. Therefore, is a scalar and there is no arrow of time. It is also shown how de Broglie waves transfer information between microparticles at a speed exceeding the speed of light in a vacuum.

M. Surdin

Murray Gerstenhaber

De Broglie waves may be a reflection of a deformation inherent in the path algebra of phase space. On a Riemannian manifold equipped with a suitable 2-form, the product of paths, which is ordinarily their concatenation, can be deformed by multiplication by a scalar weight giving rise to a function on paths. In flat phase space the associated function is periodic with period the de Broglie wave length. The de Broglie description may only be approximate in curved space.