QUANTUM METRIC-SPACES AS A MODEL FOR PREGEOMETRY

被引：10

作者：

ALVAREZ, E ^{[1
]}

CESPEDES, J ^{[1
]}

VERDAGUER, E ^{[1
]}

机构：

[1] UNIV AUTONOMA BARCELONA,FIS TEOR GRP,E-08193 BARCELONA,SPAIN

来源：

PHYSICAL REVIEW D | 1992年 / 45卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.45.2033

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A new arena for the dynamics of spacetime is proposed, in which the basic quantum variable is the two-point distance on a metric space. The scaling dimension (that is, the Kolmogorov capacity) in the neighborhood of each point then defines in a natural way a local concept of dimension. We study our model in the region of parameter space in which the resulting spacetime is not too different from a smooth manifold.

引用

页码：2033 / 2043

页数：11

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