Pseudo-Linear Mechanics with Pseudo-Translation Symmetry

作     者：Wonsang Chung Yeounju Kim Seohyeon Kim Jeongmin Kwon Wonsang Chung;Yeounju Kim;Seohyeon Kim;Jeongmin Kwon

作者机构：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 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2021年第9卷第4期

页      面：648-660页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Pseudo-Multiplication Pseudo-Addition Pseudo-Translation Symmetry Pseudo-Linear 

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.