Authors: Rommel Nana Dutchou
This work presents a formalism of the notions of space and of time which contains that of the special relativity, which is compatible with the quantum theories, and which distinguishes itself from the general relativity by the fact that it allows us to define the possible states of motion between two observers arbitrarily chosen in the nature. Before calculating the advance of the perihelion of an orbit, it is necessary to define the existence of a perihelion and its possible movement. In other words, it is necessary to express the use of a physical space which is a set of spatial positions, a set of world lines constantly at rest according to a unique observer. This document defines all the physical spaces of the nature (some compared with the others) by noting that to choose a temporal variable in one of these spaces, it is enough to choose a particular parametrization along each of its points. If the world lines of a family of observers are not elements of a unique physical space, then even in classical physics, how can they manage to put end to end their rulers to determine the measure of a segment of curve of their reference frame (each will have to ask to his neighbor: a little seriousness please, do not move until the measurement is ended) ? This question is the basis of the solution which will be proposed to paradox of Ehrenfest. A notion of expansion of the universe is established as being a structural reality and a rigorous theoretical formulation of the Hubble's experimental law is proposed. We shall highlight the fact that a relative motion occurs only along specific trajectories and this notion of authorized trajectories is not a novelty in physics as it is stated in the Bohr atomic model. We shall also highlight the fact that a non-uniform rectilinear motion possesses a horizon having the structure of a plan.
Comments: 22 Pages.
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