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
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
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
Planète et Univers [physics]
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