Some applications of geodesic loops and nonlinear geometric algebra in the theory of gravity

被引:0
|
作者
Kuusk, P
Paal, E
机构
[1] Estonian Acad Sci, Inst Phys, EE-2400 Tartu, Estonia
[2] Tallinn Univ Technol, Inst Math, EE-0026 Tallinn, Estonia
关键词
geodesic multiplication; Akivis algebras; general relativity;
D O I
10.1023/A:1005887706790
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Algebraic systems called local geodesic loops and their tangent Akivis algebras are considered. Their possible role in the theory of gravity is discussed. Quantum conditions for infinitesimal quantum events are proposed.
引用
收藏
页码:67 / 76
页数:10
相关论文
共 50 条
  • [41] New Applications of Clifford's Geometric Algebra
    Breuils, Stephane
    Tachibana, Kanta
    Hitzer, Eckhard
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2022, 32 (02)
  • [42] Gauge Theory Gravity with Geometric Calculus
    David Hestenes
    [J]. Foundations of Physics, 2005, 35 : 903 - 970
  • [43] Current survey of Clifford geometric algebra applications
    Hitzer, Eckhard
    Lavor, Carlile
    Hildenbrand, Dietmar
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (03) : 1331 - 1361
  • [44] Applications of geometric algebra in physics and links with engineering
    Lasenby, A
    Lasenby, J
    [J]. GEOMETRIC ALGEBRA WITH APPLICATIONS IN SCIENCE AND ENGINEERING, 2001, : 430 - +
  • [45] Gauge theory gravity with geometric calculus
    Hestenes, D
    [J]. FOUNDATIONS OF PHYSICS, 2005, 35 (06) : 903 - 969
  • [46] New Applications of Clifford’s Geometric Algebra
    Stephane Breuils
    Kanta Tachibana
    Eckhard Hitzer
    [J]. Advances in Applied Clifford Algebras, 2022, 32
  • [47] The elastic theory of shells using geometric algebra
    Gregory, A. L.
    Lasenby, J.
    Agarwal, A.
    [J]. ROYAL SOCIETY OPEN SCIENCE, 2017, 4 (03):
  • [48] Geometric Algebra for teaching AC Circuit Theory
    Montoya, Francisco G.
    Banos, Raul
    Alcayde, Alfredo
    Arrabal-Campos, Francisco M.
    [J]. INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2021, 49 (11) : 3473 - 3487
  • [49] The geometric algebra as a power theory analysis tool
    Castilla, Manuel
    Carlos Bravo, Juan
    Ordonez, Manuel
    Carlos Montano, Juan
    [J]. PRZEGLAD ELEKTROTECHNICZNY, 2009, 85 (01): : 202 - 207
  • [50] GEOMETRIC ALGEBRA AND M-THEORY COMPACTIFICATIONS
    Lazaroiu, Calin Iuliu
    Babalic, Elena-Mirela
    [J]. ROMANIAN JOURNAL OF PHYSICS, 2013, 58 (5-6): : 609 - 616