QUANTUM GEOMETRY AND WILD EMBEDDINGS AS QUANTUM STATES

被引：5

作者：

Asselmeyer-Maluga, Torsten ^{[1
]}

Krol, Jerzy ^{[2
]}

机构：

[1] German Aerospacectr, D-12489 Berlin, Germany

[2] Univ Silesia, Inst Phys, PL-40007 Katowice, Poland

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 10期

关键词：

Wild embeddings; Alexanders horned sphere; C*-algebras; deformation quantization; SURFACES;

D O I：

10.1142/S0219887813500552

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we discuss wild embeddings like Alexanders horned ball and relate them to fractal spaces. We build a C*-algebra corresponding to a wild embedding. We argue that a wild embedding is the result of a quantization process applied to a tame embedding. Therefore, quantum states are directly the wild embeddings. Then we give an example of a wild embedding in the four-dimensional spacetime. We discuss the consequences for cosmology.

引用

页数：15

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