Causality and time-space evolution of physical systems

Abstract

All physical process are subject to some laws which determine with math accurately its time-space evolution. These laws are described, in the last analysis for the principle of causality. The physical space can be homogeneous or heterogeneous in function of the distribution of the physical magnitudes. Applying the principle of causality to the homogeneous space we observe that its more important qualities are: their metric does not depend of the 4coordeninate where it is measured and the light speed constancy [1]. However, to apply the principle of causality in the heterogeneous space is very much fruitful. Thanks to the presence of physical magnitudes that vary in the 4space we can find the equations that this magnitudes should verify so that it takes place their space and time evolution. Working on the principle of causality like axiom for describe our physical systems, we will obtain the most basic expression of evolution of the magnitudes of the physical system. This expression coincides with the principle of action expressed for a tensorial action [2]. The scalar form of this principle coincides, in its turn, with the traditional relativistic and quantum expression, of the principle of action or principle of least action according to other authors.