Nonassociative geometry: Towards discrete structure of spacetime

In the framework of nonassociative geometry a unified description of continuum and discrete spacetime is proposed. In our approach at the Planck scales the spacetime is described as a so-called diodular discrete structure which at large spacetime scales "looks like" a differentiable manifold. After a brief review of foundations of nonassociative geometry, we discuss the nonassociative smooth and discrete de Sitter spacetimes. ©2000 The American Physical Society.

Авторы
Nesterov A.I.1, 2 , Sabinin L.V.3, 4
Редакторы
-
Журнал
Издательство
-
Номер выпуска
8
Язык
Английский
Страницы
1-5
Статус
Опубликовано
Подразделение
-
DOI
-
Номер
081501
Том
62
Год
2000
Организации
  • 1 Department of Physics, C.U.C.E.I., Guadalajara University, Guadalajara, Jalisco, Mexico
  • 2 Institute of Physics, Siberian Branch, Russian Academy of Science, Krasnoyarsk, Russian Federation
  • 3 Department of Mathematics, Quintana Roo University, Chetumal, Mexico
  • 4 Russian Friendship University, Moscow, Russian Federation
Ключевые слова
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Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/426/