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

共 50 条

[41] Phase space quantum mechanics [J].

Blaszak, Maciej ;

Domanski, Ziemowit .

ANNALS OF PHYSICS, 2012, 327 (02) :167-211

[42] Noncommutative supergeometry and quantum supergroups [J].

de Goursac, Axel .

XXXTH INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (ICGTMP) (GROUP30), 2015, 597

[43] Quantum Observables of Quantized Fluxes [J].

Sati, Hisham ;

Schreiber, Urs .

ANNALES HENRI POINCARE, 2024,

[44] Scanning Quantum Dot Microscopy [J].

Wagner, Christian ;

Green, Matthew F. B. ;

Leinen, Philipp ;

Deilmann, Thorsten ;

Krueger, Peter ;

Rohlfing, Michael ;

Temirov, Ruslan ;

Tautz, F. Stefan .

PHYSICAL REVIEW LETTERS, 2015, 115 (02)

[45] Quantum dissipative Higgs model [J].

Amooghorban, Ehsan ;

Mandifar, Ali .

ANNALS OF PHYSICS, 2015, 360 :237-245

[46] Canonical transformations in quantum mechanics [J].

Blaszak, Maciej ;

Domanski, Ziemowit .

ANNALS OF PHYSICS, 2013, 331 :70-96

[47] Thermodynamics of quantum photon spheres [J].

Baldiotti, M. C. ;

Elias, Walace S. ;

Molina, C. ;

Pereira, Thiago S. .

PHYSICAL REVIEW D, 2014, 90 (10)

[48] Conformal welding of quantum disks [J].

Ang, Morris ;

Holden, Nina ;

Sun, Xin .

ELECTRONIC JOURNAL OF PROBABILITY, 2023, 28

[49] Quantum information in Riemannian spaces [J].

Camara, Pablo G. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2025, 58 (22)

[50] Quantum theory of electronic friction [J].

Martinazzo, Rocco ;

Burghardt, Irene .

PHYSICAL REVIEW A, 2022, 105 (05)

← 1 2 3 4 5 →