Janus Cosmological Model Mathematically & Physically Consistent
Résumé
In this article, we introduce a new bimetric model designed to describe a universe in which positive and negative masses coexist. This model is based on a M4 manifold, equipped with two Lorentzian metrics, solutions to a system of coupled eld equations that we have constructed by Lagrangian derivation from an action speci cally designed for this geometric context. Our approach unveils new insights into the interactions between masses of opposite signs, proposing a new paradigm in which our model becomes a geometric extension of General Relativity in regions dominated by negative masses, such as the vicinity of the "Dipole Repeller". Moreover, our model converges to the Einstein eld equation in the limit of weak elds, as is the case near the Sun, making it a natural and elegant generalization of the classical theory. We have also developed a non-stationary, homogeneous, and isotropic exact solution, which explains the acceleration and expansion of the universe without resorting to a cosmological constant. The Janus model provides an explanation for the lacunar structure observed in the mass distribution in the universe, a phenomenon illustrated by the discovery of the "Dipole Repeller". The implications of our theory, which suggests concrete predictions such as the dimming of brightness around vast negative mass structures, are veri able through observation and represent a potential advance in our understanding of the universe.
Mots clés
- Observational Predictions
- Expansion of the Universe
- Homogeneity
- Isotropy
- Symmetry
- Stationarity
- Coupled Field Equations
- Lagrangian Derivation
- General Relativity
- Dark Energy
- Dark Matter
- Dipole Repeller
- Tolman-Oppenheimer-Volko Equation
- Schwarzschild Solution
- Mutual Attraction and Repulsion
- Numerical Simulations
- Interaction Tensors
- Cosmological Constants
- Field Equations
- Ricci Scalars
- Ricci Tensors
- Lorentzian Metrics
- Geodesics
- Positive and Negative Masses
- Bimetric Model
- Janus Model
- Janus Model Bimetric Model Positive and Negative Masses Geodesics Lorentzian Metrics Ricci Tensors Ricci Scalars Field Equations Cosmological Constants Interaction Tensors Numerical Simulations Mutual Attraction and Repulsion Schwarzschild Solution Tolman-Oppenheimer-Volko Equation Dipole Repeller Dark Matter Dark Energy General Relativity Lagrangian Derivation Coupled Field Equations Stationarity Symmetry Isotropy Homogeneity Expansion of the Universe Observational Predictions
Domaines
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