Conformal triality of the Kepler problem
Copyright policy )Conformal triality of the Kepler problem
We show that the Kepler problem is projectively equivalent to null geodesic motion on the conformal compactification of Minkowski-4 space. This space realises the conformal triality of Minkwoski, dS and AdS spaces.
4 pages, no figures. Some modifications
High Energy Physics - Theory, Geometric methods in ordinary differential equations, Applications of local differential geometry to the sciences, Projective connections, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), Weyl geometry, General Relativity and Quantum Cosmology, integrable Hamiltonian systems, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, High Energy Physics - Theory (hep-th), projective dynamics, null lifts, Non-Euclidean differential geometry, Mathematical Physics
High Energy Physics - Theory, Geometric methods in ordinary differential equations, Applications of local differential geometry to the sciences, Projective connections, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), Weyl geometry, General Relativity and Quantum Cosmology, integrable Hamiltonian systems, Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics, High Energy Physics - Theory (hep-th), projective dynamics, null lifts, Non-Euclidean differential geometry, Mathematical Physics
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