Author(s)

Wonsang Chung^1*, Yeounju Kim¹, Seohyeon Kim¹, Jeongmin Kwon²

¹Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, Korea.
²Department of Mathematics, College of Natural Science, Gyeongsang National University, Jinju, Korea.

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.

Pseudo-Multiplication, Pseudo-Addition, Pseudo-Translation Symmetry, Pseudo-Linear

Chung, W. , Kim, Y. , Kim, S. and Kwon, J. (2021) Pseudo-Linear Mechanics with Pseudo-Translation Symmetry. Journal of Applied Mathematics and Physics, 9, 648-660. doi: 10.4236/jamp.2021.94047.