Journal of Cosmology and Astroparticle Physics, 2022
The present work is devoted to studying the dynamical evolution of galaxies in scalar-Gauss-Bonne... more The present work is devoted to studying the dynamical evolution of galaxies in scalar-Gauss-Bonnet gravity and its relationship with the MOND paradigm. This study is useful for giving meaning to the presence of a new gravitational constant. The stability of dark matter is strongly dependent on matter density. We are interested in calculating the maximum rotational velocity of galaxies. We show that rotating galaxies can be described by a new parameter that depends both on the minimum value of scalar fields and on the effective mass of this field. According to observational data, we have shown that this parameter is a constant.
In this paper, we present a technique to unify the Reissner–Nordstr¨om metric and the Kerr–Newman... more In this paper, we present a technique to unify the Reissner–Nordstr¨om metric and the Kerr–Newman metric. We construct a specifific model and calculate the entanglement entropy of black horizon. We are interested in the entangled particle and antiparticle spinning on the black hole horizon. The two Reissner-Nordstr¨om horizons r±, are the results of the rotation of several entangled particle-antiparticle on the real horizon. The energy absorbed by a black hole is transformed into a kinetic energy of the entangled particle-antiparticles. This study provides a new type of black hole metric. We show that the rotation of an entangled system of a particle and an antiparticle can create a extremal black hole. We also explore some of the implications of this point of view for the black hole entanglement.
In this work, we explore a the different forms of a new type of modified gravity, namely f(φ) gra... more In this work, we explore a the different forms of a new type of modified gravity, namely f(φ) gravity. We construct the Big Rip type for the energy density and the curvature of the universe. We show that dark energy is a result of the transformation of the field φ mass (dark matter) to energy. In addition, we provide that Ω_{m}≈0,050, Ω_{DM}≈0,2, Ω_{DE}≈0,746, is in excellent agreement with observation data. We explore a generalized formalism of braneworld modified gravity. We also construct a new field equations, which generalize the Einstein field equations. We provide a relation between the extra dimension in 3-brane with the vacuum energy density. We show that the energy density of matter depends directly on the number of dimensions. We manage to find the value of the Gauss-Bonnet coupling α=1/4 which is a good agreement with the results in the literature, this correspondence creates a passage between f(R) gravity and Gauss-Bonnet gravity, this comparison leads to a number of bu...
In this letter, instead of choosing the Einstein Rosen bridge between two black holes as in ER=EP... more In this letter, instead of choosing the Einstein Rosen bridge between two black holes as in ER=EPR, we consider a wormhole between a black hole and a closed edge of the wormhole. We assume that information in a black hole travels through a wormhole, turns to mass (dark matter) in the closed region. This study is in contradiction with the existence of the white hole in our Universe. We replace the notion of the white hole with the massive closed region. We prove the metric of the closed region by the Hopf fibration, this new metric generalizes the $AdS_{5}$\ metric.
The present work is devoted to studying the dynamical evolution of galaxies in scalar-Gauss-Bonne... more The present work is devoted to studying the dynamical evolution of galaxies in scalar-Gauss-Bonnet gravity and its relationship with the MOND paradigm. This study is useful for giving meaning to the presence of a new gravitational constant. The stability of dark matter is strongly dependent on matter density. We are interested in calculating the maximum rotational velocity of galaxies. We show that rotating galaxies can be described by a new parameter that depends both on the minimum value of scalar fields and on the effective mass of this field. According to observational data, we have shown that this parameter is a constant.
International Journal of Geometric Methods in Modern Physics
We propose a new unified model that describes dark energy and dark matter in the context of [Form... more We propose a new unified model that describes dark energy and dark matter in the context of [Formula: see text] gravity using a massive scalar field in five dimensions. The scalar field is considered in the bulk that surrounds the 3-brane in branworld model. We show that for a specific choice of the [Formula: see text] function, we can describe the Einstein gravitation in 4-dimensional space-time. We obtain a relationship between the speed of the Universe’s expansion and the speed of the bulk’s expansion. We also propose that the dark matter is represented by the scalar field mass and that the dark energy is a kinetic energy of this field. Finally, we show that, according to conditions, one can obtain the percentages of density of dark matter and the density of ordinary matter.
In this paper, we study the symmetry between the supersingular prime number according to smallest... more In this paper, we study the symmetry between the supersingular prime number according to smallest sphenic number. With this symmetry, we show that the elements of sporadic group generates all prime numbers with the order by a simple application.
In this paper, we present a technique to unify the Reissner-Nordström metric and the Kerr-Newman ... more In this paper, we present a technique to unify the Reissner-Nordström metric and the Kerr-Newman metric. We construct a specific model and calculate the entanglement entropy of black horizon. We are interested in the entangled particle and antiparticle spinning on the black hole horizon. The two Reissner-Nordström horizons r ± , are the results of the rotation of several entangled particle-antiparticle on the real horizon. The energy absorbed by a black hole is transformed into a kinetic energy of the entangled particle-antiparticles. This study provides a new type of black hole metric. We show that the rotation of an entangled system of a particle and an antiparticle can create a extremal black hole. We also explore some of the implications of this point of view for the black hole entanglement.
L’objective première de ce cours est d’introduire les notions de la géométrie différentielle à fi... more L’objective première de ce cours est d’introduire les notions de la géométrie différentielle à fin d’attaquer les mathématiques de la relativité générale. La géométrie différentielle est une grande partie dans les mathématiques et aussi plus riche par des outilles mathématique et c’est elle qui nous permet de relier l’Algèbre par la géométrie en une géométrie algébrique, calcul différentiel avec topologie générale et la géométrie avec la physique et plusieurs d’autres choses. La géométrie différentielle est l'application des outils du calcul différentiel pour étudier la géométrie. Les objets d'étude de base sont les variétés différentielles, La géométrie différentielle trouve sa principale application dans la physique surtout dans la relativité générale où elle permet de modéliser des courbures de l'espace-temps causent par la présence d’une masse énorme. L’objectif deuxième ce de ce cours est d’introduire le cadre mathématique de la relativité générale. On privilégie une approche géométrique et picturale basée sur l’algèbre linéaire à une approche basée sur les systèmes de coordonnées.
Nous allons traiter quatre grandes parties de la géométrie : 1. Variétés différentiables : 2. Les espaces tangents et cotangent 3. Les formes différentielles 4. La géométrie riemannienne C’est 4 parties sont parfaitement relier,
Journal of Cosmology and Astroparticle Physics, 2022
The present work is devoted to studying the dynamical evolution of galaxies in scalar-Gauss-Bonne... more The present work is devoted to studying the dynamical evolution of galaxies in scalar-Gauss-Bonnet gravity and its relationship with the MOND paradigm. This study is useful for giving meaning to the presence of a new gravitational constant. The stability of dark matter is strongly dependent on matter density. We are interested in calculating the maximum rotational velocity of galaxies. We show that rotating galaxies can be described by a new parameter that depends both on the minimum value of scalar fields and on the effective mass of this field. According to observational data, we have shown that this parameter is a constant.
In this paper, we present a technique to unify the Reissner–Nordstr¨om metric and the Kerr–Newman... more In this paper, we present a technique to unify the Reissner–Nordstr¨om metric and the Kerr–Newman metric. We construct a specifific model and calculate the entanglement entropy of black horizon. We are interested in the entangled particle and antiparticle spinning on the black hole horizon. The two Reissner-Nordstr¨om horizons r±, are the results of the rotation of several entangled particle-antiparticle on the real horizon. The energy absorbed by a black hole is transformed into a kinetic energy of the entangled particle-antiparticles. This study provides a new type of black hole metric. We show that the rotation of an entangled system of a particle and an antiparticle can create a extremal black hole. We also explore some of the implications of this point of view for the black hole entanglement.
In this work, we explore a the different forms of a new type of modified gravity, namely f(φ) gra... more In this work, we explore a the different forms of a new type of modified gravity, namely f(φ) gravity. We construct the Big Rip type for the energy density and the curvature of the universe. We show that dark energy is a result of the transformation of the field φ mass (dark matter) to energy. In addition, we provide that Ω_{m}≈0,050, Ω_{DM}≈0,2, Ω_{DE}≈0,746, is in excellent agreement with observation data. We explore a generalized formalism of braneworld modified gravity. We also construct a new field equations, which generalize the Einstein field equations. We provide a relation between the extra dimension in 3-brane with the vacuum energy density. We show that the energy density of matter depends directly on the number of dimensions. We manage to find the value of the Gauss-Bonnet coupling α=1/4 which is a good agreement with the results in the literature, this correspondence creates a passage between f(R) gravity and Gauss-Bonnet gravity, this comparison leads to a number of bu...
In this letter, instead of choosing the Einstein Rosen bridge between two black holes as in ER=EP... more In this letter, instead of choosing the Einstein Rosen bridge between two black holes as in ER=EPR, we consider a wormhole between a black hole and a closed edge of the wormhole. We assume that information in a black hole travels through a wormhole, turns to mass (dark matter) in the closed region. This study is in contradiction with the existence of the white hole in our Universe. We replace the notion of the white hole with the massive closed region. We prove the metric of the closed region by the Hopf fibration, this new metric generalizes the $AdS_{5}$\ metric.
The present work is devoted to studying the dynamical evolution of galaxies in scalar-Gauss-Bonne... more The present work is devoted to studying the dynamical evolution of galaxies in scalar-Gauss-Bonnet gravity and its relationship with the MOND paradigm. This study is useful for giving meaning to the presence of a new gravitational constant. The stability of dark matter is strongly dependent on matter density. We are interested in calculating the maximum rotational velocity of galaxies. We show that rotating galaxies can be described by a new parameter that depends both on the minimum value of scalar fields and on the effective mass of this field. According to observational data, we have shown that this parameter is a constant.
International Journal of Geometric Methods in Modern Physics
We propose a new unified model that describes dark energy and dark matter in the context of [Form... more We propose a new unified model that describes dark energy and dark matter in the context of [Formula: see text] gravity using a massive scalar field in five dimensions. The scalar field is considered in the bulk that surrounds the 3-brane in branworld model. We show that for a specific choice of the [Formula: see text] function, we can describe the Einstein gravitation in 4-dimensional space-time. We obtain a relationship between the speed of the Universe’s expansion and the speed of the bulk’s expansion. We also propose that the dark matter is represented by the scalar field mass and that the dark energy is a kinetic energy of this field. Finally, we show that, according to conditions, one can obtain the percentages of density of dark matter and the density of ordinary matter.
In this paper, we study the symmetry between the supersingular prime number according to smallest... more In this paper, we study the symmetry between the supersingular prime number according to smallest sphenic number. With this symmetry, we show that the elements of sporadic group generates all prime numbers with the order by a simple application.
In this paper, we present a technique to unify the Reissner-Nordström metric and the Kerr-Newman ... more In this paper, we present a technique to unify the Reissner-Nordström metric and the Kerr-Newman metric. We construct a specific model and calculate the entanglement entropy of black horizon. We are interested in the entangled particle and antiparticle spinning on the black hole horizon. The two Reissner-Nordström horizons r ± , are the results of the rotation of several entangled particle-antiparticle on the real horizon. The energy absorbed by a black hole is transformed into a kinetic energy of the entangled particle-antiparticles. This study provides a new type of black hole metric. We show that the rotation of an entangled system of a particle and an antiparticle can create a extremal black hole. We also explore some of the implications of this point of view for the black hole entanglement.
L’objective première de ce cours est d’introduire les notions de la géométrie différentielle à fi... more L’objective première de ce cours est d’introduire les notions de la géométrie différentielle à fin d’attaquer les mathématiques de la relativité générale. La géométrie différentielle est une grande partie dans les mathématiques et aussi plus riche par des outilles mathématique et c’est elle qui nous permet de relier l’Algèbre par la géométrie en une géométrie algébrique, calcul différentiel avec topologie générale et la géométrie avec la physique et plusieurs d’autres choses. La géométrie différentielle est l'application des outils du calcul différentiel pour étudier la géométrie. Les objets d'étude de base sont les variétés différentielles, La géométrie différentielle trouve sa principale application dans la physique surtout dans la relativité générale où elle permet de modéliser des courbures de l'espace-temps causent par la présence d’une masse énorme. L’objectif deuxième ce de ce cours est d’introduire le cadre mathématique de la relativité générale. On privilégie une approche géométrique et picturale basée sur l’algèbre linéaire à une approche basée sur les systèmes de coordonnées.
Nous allons traiter quatre grandes parties de la géométrie : 1. Variétés différentiables : 2. Les espaces tangents et cotangent 3. Les formes différentielles 4. La géométrie riemannienne C’est 4 parties sont parfaitement relier,
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La géométrie différentielle est une grande partie dans les mathématiques et aussi plus riche par des outilles mathématique et c’est elle qui nous permet de relier l’Algèbre par la géométrie en une géométrie algébrique, calcul différentiel avec topologie générale et la géométrie avec la physique et plusieurs d’autres choses.
La géométrie différentielle est l'application des outils du calcul différentiel pour étudier la géométrie. Les objets d'étude de base sont les variétés différentielles,
La géométrie différentielle trouve sa principale application dans la physique surtout dans la relativité générale où elle permet de modéliser des courbures de l'espace-temps causent par la présence d’une masse énorme.
L’objectif deuxième ce de ce cours est d’introduire le cadre mathématique de la relativité générale. On privilégie une approche géométrique et picturale basée sur l’algèbre linéaire à une approche basée sur les systèmes de coordonnées.
Nous allons traiter quatre grandes parties de la géométrie :
1. Variétés différentiables :
2. Les espaces tangents et cotangent
3. Les formes différentielles
4. La géométrie riemannienne
C’est 4 parties sont parfaitement relier,
Conference Presentations
Teaching Documents
La géométrie différentielle est une grande partie dans les mathématiques et aussi plus riche par des outilles mathématique et c’est elle qui nous permet de relier l’Algèbre par la géométrie en une géométrie algébrique, calcul différentiel avec topologie générale et la géométrie avec la physique et plusieurs d’autres choses.
La géométrie différentielle est l'application des outils du calcul différentiel pour étudier la géométrie. Les objets d'étude de base sont les variétés différentielles,
La géométrie différentielle trouve sa principale application dans la physique surtout dans la relativité générale où elle permet de modéliser des courbures de l'espace-temps causent par la présence d’une masse énorme.
L’objectif deuxième ce de ce cours est d’introduire le cadre mathématique de la relativité générale. On privilégie une approche géométrique et picturale basée sur l’algèbre linéaire à une approche basée sur les systèmes de coordonnées.
Nous allons traiter quatre grandes parties de la géométrie :
1. Variétés différentiables :
2. Les espaces tangents et cotangent
3. Les formes différentielles
4. La géométrie riemannienne
C’est 4 parties sont parfaitement relier,