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
  • [41] EQUATIONS OF TRANSVERSE ELECTROMAGNETIC FIELD IN A MEDIUM
    KORSUNSKY, AA
    SOVIET PHYSICS JETP-USSR, 1970, 31 (02): : 300 - +
  • [42] Convection equations in a strongly nonhomogeneous medium
    V. P. Zhukov
    High Temperature, 2012, 50 : 273 - 277
  • [43] Convection equations in a strongly nonhomogeneous medium
    Zhukov, V. P.
    HIGH TEMPERATURE, 2012, 50 (02) : 273 - 277
  • [44] MAXWELL EQUATIONS IN A NONLINEAR KERR MEDIUM
    BRUNO, OP
    REITICH, F
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1994, 447 (1929): : 65 - 76
  • [45] THE RELATIVISTIC ELECTROMAGNETIC EQUATIONS IN A MATERIAL MEDIUM
    TAYLOR, NW
    AUSTRALIAN JOURNAL OF PHYSICS, 1953, 6 (01): : 1 - 9
  • [46] THE EQUATIONS OF COMPRESSIBLE PLASTIC MEDIUM DYNAMICS
    ESTRIN, MI
    DOKLADY AKADEMII NAUK SSSR, 1960, 135 (01): : 36 - 39
  • [47] On gravity as a medium property in Maxwell equations
    Jai-chan Hwang
    Hyerim Noh
    General Relativity and Gravitation, 2024, 56
  • [48] MAXWELLS EQUATIONS IN A ROTATING MEDIUM - IS THERE A PROBLEM
    PELLEGRINI, GN
    SWIFT, AR
    AMERICAN JOURNAL OF PHYSICS, 1995, 63 (08) : 694 - 705
  • [49] The solution of Maxwells equations for a ferromagnetic medium
    Nabiev, M.A.
    Guliev, Z.A.
    Gadzhibalaev, N.M.
    Elektrichestvo, 2002, (03): : 54 - 57
  • [50] EQUATIONS OF STEADY MOTION OF A STRENGTHENING MEDIUM
    DRUIANOV, BA
    DOKLADY AKADEMII NAUK SSSR, 1977, 237 (05): : 1041 - 1043
12345