Miroslav Pardy. Experimental trajectories in Euclidean and hyperbolic geometry
Natural Sciences / Physics / Mathematical Physics
Submitted on: Aug 16, 2023, 05:48:22
Description: The Euler tetrahedron volume formula is used to define dimensionality of space and the Euclidean straight line and area. The double disk modul (DDM) is used to define trajectories on the metrical surfaces. The geodetical paths on the planet Mars can be realized by the Mars double disk modul (MDDM). The relations of generalized Lobachevskii geometry are derived and related to the Einstein equations. It is considered spherical and pseudospherical geometry, Riemann geometry, Lobachevskii and generalized Lobachevskii geometry, Poincare model, Beltrami model, gravity as deformation of space and Schwinger theory of gravity.