12 citations · 21 across the 6 of their papers we have counts for
6 papers
Space-Time Geodesics and the Derivation of Schrödinger's equation
Faycal Ben Adda
Using the essence of Feynman's path integral and the space-time geodesics, an infinity of differentiable paths that follow the geometry of a continuous geodesic are constructed, an…
Paths of Least Time for Quantum Scale and a New Geometrical Interpretation of Light Diffraction
Faycal Ben Adda
In this paper, a geometrical interpretation of light diffraction is given using an infinity of fluctuating geodesics that represent paths of least time in an homogeneous space. Wit…
Special extension of the relativity of moving bodies: a case study
Faycal Ben Adda
The incorporation of an adequate discrete expansion to the formalism of the special relativity that does not allow gravitational acceleration unravels unexplored phenomena. This ex…
Mathematical model for fractal manifold
Faycal Ben Adda
We have built a new kind of manifolds which leads to an alternative new geometrical space. The study of the nowhere differentiable functions via a family of mean functions leads to…
Expansion and hidden dimensions in a new cosmological model
Faycal Ben Adda
In this paper, we present a new cosmological model using fractal manifold. We prove that a space defined by this kind of manifold is an expanding space. This model provides us with…
The nature of light in an expanding universe
Faycal Ben Adda, Helene Porchon-Ben Adda
In this paper, we prove the existence of two degrees of freedom that govern the movement of light in an expanding universe. The use of the fractal manifold model leads to reciproca…