摘要
In this paper, we will consider the simplest pseudo-addition where pseudo-multiplication and pseudo-division are the same as the ordinary ones and distributivity hold. Using this we consider a special type of the non-uniform discrete times with the pseudo-translation symmetry. Besides, we demand that the displacement should be invariant under the pseudo-translation. From these, we obtain the new definition of the instantaneous velocity which is pseudo-translation symmetry in both time and position and formulate the mechanics which are pseudo-linear and pseudo-translation invariant.
In this paper, we will consider the simplest pseudo-addition where pseudo-multiplication and pseudo-division are the same as the ordinary ones and distributivity hold. Using this we consider a special type of the non-uniform discrete times with the pseudo-translation symmetry. Besides, we demand that the displacement should be invariant under the pseudo-translation. From these, we obtain the new definition of the instantaneous velocity which is pseudo-translation symmetry in both time and position and formulate the mechanics which are pseudo-linear and pseudo-translation invariant.
作者
Wonsang Chung
Yeounju Kim
Seohyeon Kim
Jeongmin Kwon
Wonsang Chung;Yeounju Kim;Seohyeon Kim;Jeongmin Kwon(Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, Korea;Department of Mathematics, College of Natural Science, Gyeongsang National University, Jinju, Korea)
