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Hyperbolic Lagrangian functions
Authors:Yu Xuegang
Affiliation:Department of Physics, Tonghua Teachers’ College, Tonghua 134002, P.R.China
Abstract:Hyperbolic complex numbers correspond with Minkowski geometry. The hyperbolic Lagrangian equation and the Hamilton-Jacobi equation will be derived from the invariants of four-dimensional space-time intervals and hyperbolic Lorentz transformations.
Keywords:hyperbolic quaternion numbers  Lagrangian functions  generalized inertia forces
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