Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 1994

Идентификатор DOI: 10.1007/BF00559217

Ключевые слова: phase transition, Euclidean space, complex number, gravitational field, complex variable

Аннотация: The algebraic classification of locally Euclidean four-dimensional spaces (having positive-definite metric) is considered in terms of dual complex variables, which, like ordinary complex numbers, are a type of hypercomplex numbers. It is shown that only four space subtypes exist: 1, 1a, D, 0 and there are no wave types. Transition between space subtypes is described by a CUSP catastrophe analogous to a second-order phase transition in a solid. Introducing an imaginary coordinate, we obtain the usual four-dimensional space—time, and our classification reduces to the well-known Petrov—Penrose algebraic classification of gravitational fields.

Журнал: Russian Physics Journal

Выпуск журнала: Т. 37, № 11

Номера страниц: 1087-1091

ISSN журнала: 10648887

Место издания: Томск

Издатель: Springer New York Consultants Bureau

• Baranov A.M. (Krasnoyarsk State University)

• Ядро РИНЦ (eLIBRARY.RU)
• Список ВАК