NEWTON'S EQUATION ON THE κ-SPACETIME AND THE KEPLER PROBLEM

DOI10.1142/S021773231003416XzbMath1202.70100arXiv1003.4603MaRDI QIDQ3065684

E. Harikumar, A. K. Kapoor

Publication date: 6 January 2011

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4603

zbMATH Keywords

noncommutative geometrypioneer anomaly\(\kappa \)-Minkowski spacetimeNewton's equations

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Methods of noncommutative geometry in general relativity (83C65) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (16)

GENERATING OF ADDITIONAL FORCE TERMS IN NEWTON EQUATION BY TWIST-DEFORMED HOPF ALGEBRAS AND CLASSICAL SYMMETRIES ⋮ Eigenvalue problem for radial potentials in space with SU(2) fuzziness ⋮ Resonance Interaction Energy in κ‐Minkowski Spacetime ⋮ Noncommutative space–time and Hausdorff dimension ⋮ Superdense star in a spacetime with minimal length ⋮ Maximal acceleration in non-commutative space-time and its implications ⋮ Time-space noncommutativity and Casimir effect ⋮ Twists, realizations and Hopf algebroid structure of κ-deformed phase space ⋮ MICZ-Kepler systems in noncommutative space and duality of force laws ⋮ Effect of non-commutativity of space-time on thermodynamics of photon gas ⋮ Central force problem in space with \(\mathrm{SU}(2)\) Poisson structure ⋮ Emergence of maximal acceleration from non-commutativity of spacetime ⋮ Regularization of Kepler problem in κ-spacetime ⋮ Possible quantum kinematics. II. Nonminimal case ⋮ κ-DEFORMED DIRAC EQUATION ⋮ Closedness of orbits in a space with SU(2) Poisson structure

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