QUANTUM NORM THEORY AND THE QUANTIZATION OF METRIC TOPOLOGY

被引：12

作者：

ISHAM, CJ

KUBYSHIN, Y

RENTELN, P

机构：

[1] Blackett Laboratory, Imperial College of Science and Technology, South Kensington

[2] High Energy Physics Laboratory, Nuclear Physics Institute, Moscow State University

[3] Department of Physics, University of Southern California, Los Angeles

来源：

CLASSICAL AND QUANTUM GRAVITY | 1990年 / 7卷 / 06期

关键词：

D O I：

10.1088/0264-9381/7/6/013

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

One approach to building a genuine theory of quantum topology would be to construct a quantum theory on the set M(X) of all metrics on a set X. The authors move towards this goal by showing that, for a finite set X, almost all such metrics can be obtained by embedding X into a vector space V and then varying the norm on V. This leads to the subject of 'quantum norm theory' and they give an explicit Fock space representation of such a system. They discuss a model Hamiltonian which can produce a change in metric topology by changing the effective number of points in X.

引用

页码：1053 / 1074

页数：22

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