Arcidiacono, Giuseppe On the hyperspherical universes, the conformal group and Newton’s gravitational field. (Italian. English summary) Zbl 0606.70018 Collect. Math. 36, 119-135 (1985). 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 Keywords:hyperspherical universes; rotations group; special projective relativity; conformal relativity; unified theory of matter and electricity PDFBibTeX XMLCite \textit{G. Arcidiacono}, Collect. Math. 36, 119--135 (1985; Zbl 0606.70018) Full Text: EuDML