Systèmes vivants : Lois locales et globales, invariance d'échelle

Abstract

To survive that is 'to eat and not to be eaten', to live on [9, 11]. Any living system [10], to survive and live on [9], whatever is its spatial [28] and temporal [23, 29, 35] level of organization, owns 7 invariant qualitative characteristics (degrees of freedom) [19]. Any alive system is formed by embedding and juxtapositions [17] of pre-existing systems [22]. How are the local quantitative laws, of their spatial-temporal structuring and functioning, associated with these qualitative characteristics independently from the dimensional scales? How are they independent/dependent from the new global level of organization and the local situations of emergence? How do the local actors become mutually integrated into their global whole? And reversely (systemic constructal law [4]), why and how is the global whole reciprocally integrating the local parceners [18, 20]? At every level of organization, the evolution of the living systems obeys 5 organizing principles of emergence [33] and the space (the volume of the adult system VA) and the duration (time of generation tg) are linked through a power law (generalized Kepler's 3rd law like VA2 = C.tg3), a law of growth (figure 3) and exchange (figure 4). As all the sub-systems which live in it, the whole Universe is living in an ecoexotope that it can share with other Universes.