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.
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页数：15
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