SUR L'ESPACE-TEMPS D'EINSTEIN

Jean Louis Jonot (1)

1 Chercheur indépendant

We suggest giving some mathematical methods for representing the universe. We begin with a representation based on the chronological …fields. This representation is satisfactory locally, but insufficient if we want to describe the universe in its entirety. We model the universe by measuring its states. By using the theory of surgery, we can describe the universe in its entirety. The fundamental problem of this representation is that we can only make local measurements on these states. Even by using the analytical hypothesis, we cannot describe states far away from the events where the measurements are made. To overcome this difficulty, we bring in a (G,ℝ⁴)-structure. Since the property of analytical extension is not generalised, we cannot have a total description of our universe. The last representation uses complex dimensions, in other words on dimensional systems, which are connected by a “ space fi…eld". There are two advantages for this presentation approach, the …rst is that we forget the fundamental role of time and the asymmetry of the dimensions. The second avantange is the existence of an interaction between the dimensions through the existence of a “space fi…eld". We left this description of the universe, because we believe that by improving this model, we can produce an interesting representation of the universe.

Mots clés: section dimensionnelle; Champ chronologique; Chirurgie; section de Dirac; connexion; section dimensionnelle.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Mathématiques [math]; Physique [physics]

Jean Louis Jonot. SUR L'ESPACE-TEMPS D'EINSTEIN. [Rapport de recherche] Académie de Versailles. 2014. ⟨hal-01063803v3⟩