The Universe Geometry of a Deformed 3D Space Lattice
Shlomo Barak · HAL (Le Centre pour la Communication Scientifique Directe) · 2024
Euclidean geometry is the geometry of homogenous and isotropic continuous spaces. Riemannian geometry is the geometry of n dimensional homogenous and continuous but non-isotropic curved manifolds in more than n dimensional hyper-spaces. The geometry, presented here, is the geometry of n dimensional Space Lattices that are non-homogenous and non-isotropic namely Deformed. This geometry, for the 3D case, is the only one geometry isomorphic to real space (Appendix A) and General Relativity (GR). It enables a realistic understanding of GR, its solutions and the resolution of long-standing issues like the flatness of the universe (Appendix C), the nature of dark matter and a new axiomatic non-linear electromagnetic theory that at low strength fields approximates the Maxwell theory.In this geometry we use terms and concepts of differential geometry, but define and use the term deformation instead of the conventional term of curvature.