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
  • [21] SOME THEOREMS FROM GEOMETRIC FUNCTION THEORY - APPLICATIONS
    NOVINGER, WP
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (05): : 507 - 510
  • [22] Using geometric algebra to represent curvature in shell theory with applications to Starling resistors
    Gregory, A. L.
    Agarwal, A.
    Lasenby, J.
    [J]. ROYAL SOCIETY OPEN SCIENCE, 2017, 4 (11):
  • [23] Automated Geometric Reasoning with Geometric Algebra: Theory and Practice
    Li, Hongbo
    [J]. PROCEEDINGS OF THE 2017 ACM INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION (ISSAC'17), 2017, : 7 - 8
  • [24] Geometric scalar theory of gravity
    Novello, M.
    Bittencourt, E.
    Moschella, U.
    Goulart, E.
    Salim, J. M.
    Toniato, J. D.
    [J]. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2013, (06):
  • [25] Applications of Clifford's Geometric Algebra
    Hitzer, Eckhard
    Nitta, Tohru
    Kuroe, Yasuaki
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2013, 23 (02) : 377 - 404
  • [26] Survey of new applications of geometric algebra
    Hitzer, Eckhard
    Kamarianakis, Manos
    Papagiannakis, George
    Vasik, Petr
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (14) : 11368 - 11384
  • [27] Some results concerning the representation theory of the algebra underlying loop quantum gravity
    Sahlmann, Hanno
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (01)
  • [28] Applications of geometric algebra in robot vision
    Sommer, G
    [J]. COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS, 2005, 3519 : 258 - 277
  • [29] Recent applications of conformal geometric algebra
    Lasenby, A
    [J]. COMPUTER ALGEBRA AND GEOMETRIC ALGEBRA WITH APPLICATIONS, 2005, 3519 : 298 - 328
  • [30] Applications of Clifford’s Geometric Algebra
    Eckhard Hitzer
    Tohru Nitta
    Yasuaki Kuroe
    [J]. Advances in Applied Clifford Algebras, 2013, 23 : 377 - 404