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Mass, Impetus and Force by Symplectic Realizations of the Static Group
Joachim Nzotungicimpaye
We show by symplectic realizations of the one dimensional Static group that the maximal -elementary system is a a massive particle under an invariant force participating…
On a Two-Dimensional Symplectic Space-Time
Joachim Nzotungicimpaye
We realize the hamiltonian action of the one spatial Poincare group G, analogous to the projective unitary representation, on a coadjoint orbit of G whic we interpret as a symplect…
Gravitational potential energy group theoretically
Joachim Nzotungicimpaye
We show by symplectically realizing the one spatial Aristotle Lie group that the hamiltonian of the associated elementary system consist of a gravitational energy only. No kinetic…
Yank and Hooke's constant group theoretically
Joachim Nzotungicimpaye
We study the second central extension of the (1+1) Aristotle Lie.We find that the first central extension admit four orbits on the dual of second central extension of the (1+1) Ari…