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On the hyperspherical universes, the conformal group and Newton’s gravitational field. (Italian. English summary) Zbl 0606.70018

The theory of the hyperspherical universes \(S_ n\), based on the rotations group \(R_{n+1}\), for \(n=4\) gives the ”special projective relativity” and the equations of magnetohydrodynamics. Instead, for \(n=5\) we obtain a generalization of the ”conformal relativity” and an unified theory of matter and electricity based on group theory.

MSC:

70H40 Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
70C20 Statics
70F99 Dynamics of a system of particles, including celestial mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
83E05 Geometrodynamics and the holographic principle
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
20G45 Applications of linear algebraic groups to the sciences
22E70 Applications of Lie groups to the sciences; explicit representations
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