2 research outputs found
Hamiltonian Formalism of the de-Sitter Invariant Special Relativity
Lagrangian of the Einstein's special relativity with universal parameter
() is invariant under Poincar\'e transformation which preserves
Lorentz metric . The has been extended to be
one which is invariant under de Sitter transformation that preserves so called
Beltrami metric . There are two universal parameters and in
this Special Relativity (denote it as ). The
Lagrangian-Hamiltonian formulism of is formulated in this
paper. The canonic energy, canonic momenta, and 10 Noether charges
corresponding to the space-time's de Sitter symmetry are derived. The canonical
quantization of the mechanics for -free particle is
performed. The physics related to it is discussed.Comment: 24 pages, no figur
On Principle of Inertia in Closed Universe
If our universe is asymptotic to a de Sitter space, it should be closed with
curvature in in view of dS special relativity. Conversely, its
evolution can fix on Beltrami systems of inertia in the dS-space without
Einstein's `argument in a circle'. Gravity should be local dS-invariant based
on localization of the principle of inertia.Comment: 13 page