The hypercomplex medium as storage of physical equations

被引：0
|
作者：
Yefremov, Alexander P. [1 ]
机构：
[1] RUDN Univ, Inst Gravitat & Cosmol, 6 Miklukho Maklay St, Moscow 117198, Russia
来源：
SIXTEENTH MARCEL GROSSMANN MEETING | 2023年
关键词：
Hypercomplex numbers; Quaternions; Fundamental equations; QUATERNION MODEL; RELATIVITY;
D O I：
暂无
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Using the quaternion framework (Q-math), we show that the specific mathematical equations born in "quaternion medium" in physical units become known physical laws. In particular, it is shown how one can discover immanently hidden "geometric physical laws": Cartesian frames, equations of electrodynamics, Q-vector formulation of the relativity theory. One can also find the linked logical chain between laws of quantum, classical, and relativistic mechanics.
引用
收藏
页码：605 / 618
页数：14
相关论文
共 50 条
  • [11] TWO-DIMENSIONAL SINGULAR INTEGRAL EQUATIONS OF THE HYPERCOMPLEX FUNCTIONS
    刘春根
    Acta Mathematica Scientia, 1996, (01) : 44 - 50
  • [12] Two-dimensional singular integral equations of the hypercomplex functions
    Liu, CG
    ACTA MATHEMATICA SCIENTIA, 1996, 16 (01) : 44 - 50
  • [13] A block forward substitution method for solving the hypercomplex finite element system of equations
    Aguirre-Mesa, Andres M.
    Garcia, Manuel J.
    Aristizabal, Mauricio
    Wagner, David
    Ramirez-Tamayo, Daniel
    Montoya, Arturo
    Millwater, Harry
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 387
  • [14] AN INFINITESIMAL OBJECT OF THE HYPERCOMPLEX SYSTEM, GENERATED BY DOUBLE COSETS, AND NONLINEAR DIFFERENTIAL-EQUATIONS
    PODKOLZIN, GB
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1991, 25 (01) : 78 - 80
  • [15] Physical equations
    Lecture Notes in Mathematics, 1991, 1489
  • [16] DAT as a storage medium
    MacNevin, B
    COMPUTER MUSIC JOURNAL, 1996, 20 (04) : 5 - 6
  • [17] Carbon storage and physical and chemical properties of a medium-textured soil in agricultural systems in Brazil
    Ozorio, Jefferson Matheus Barros
    Rosset, Jean Sergio
    de Carvalho, Laercio Alves
    Oliveira, Naelmo de Souza
    Monteiro, Felipe das Neves
    Panachuki, Eloi
    Schiavo, Jolimar Antonio
    REVISTA DE AGRICULTURA NEOTROPICAL, 2024, 11 (03):
  • [18] Provable Storage Medium for Data Storage Outsourcing
    Guarino, Stefano
    Canlar, Eyuep S.
    Conti, Mauro
    Di Pietro, Roberto
    Solanas, Agusti
    IEEE TRANSACTIONS ON SERVICES COMPUTING, 2015, 8 (06) : 985 - 997
  • [19] System of porous medium equations
    Kim, Sunghoon
    Lee, Ki-Ahm
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 272 : 433 - 472
  • [20] Quenching for Porous Medium Equations
    Selcuk, Burhan
    TAMKANG JOURNAL OF MATHEMATICS, 2022, 53 (02): : 175 - 185
12345