9 citations · 14 across the 5 of their papers we have counts for
5 papers
Infinity of Geodesics in an Homogeneous and Isotropic Expanding Space-Time
Faycal Ben Adda, Helene Porchon
In this paper we construct a discrete simulation of an expanding homogeneous and isotropic space-time that expands via expansion of its basic elements to figure out properties and…
Topological Expansion, Study and Applications
Helene Porchon
In this paper, we introduce the notion of expanding topological space. We define the topological expansion of a topological space via local multi-homeomorphism over coproduct topol…
Deterministic Elaboration of Heisenberg's Uncertainty Relation and the Nowhere Differentiability
Faycal Ben Adda, Helene Porchon
In this paper the uncertainty principle is found via characteristics of continuous and nowhere differentiable functions. We prove that any physical system that has a continuous and…
Fractal Topology Foundations
Helene Porchon
In this paper, we introduce the foundation of a fractal topological space constructed via a family of nested topological spaces endowed with subspace topologies, where the number o…
Variable Topology on Fractal Manifold
Helene Porchon
In this paper, we study the topology associated to the fractal manifold model. It turns out that this topology is actually a family of topologies that gives to the fractal manifold…