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

[21] Geometry of perturbed Gaussian states and quantum estimation
Genoni, Marco G.
Giorda, Paolo
Paris, Matteo G. A.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (15)
[22] Geometry of quantum systems: density states and entanglement
Grabowski, J
Kus, M
Marmo, G
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (47): : 10217 - 10244
[23] An elementary introduction to the geometry of quantum states with pictures
Avron, J.
Kenneth, O.
REVIEWS IN MATHEMATICAL PHYSICS, 2020, 32 (02)
[24] Extracting Entanglement Geometry from Quantum States
Hyatt, Katharine
Garrison, James R.
Bauer, Bela
PHYSICAL REVIEW LETTERS, 2017, 119 (14)
[25] Remarks on the GNS Representation and the Geometry of Quantum States
Chruscinski, Dariusz
Marmo, Giuseppe
OPEN SYSTEMS & INFORMATION DYNAMICS, 2009, 16 (2-3): : 157 - 177
[26] Quantum walks on embeddings
Zhan, Hanmeng
JOURNAL OF ALGEBRAIC COMBINATORICS, 2021, 53 (04) : 1187 - 1213
[27] ON EMBEDDINGS OF QUANTUM GROUPS
BRAVERMAN, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (02): : 111 - 115
[28] Quantum walks on embeddings
Hanmeng Zhan
Journal of Algebraic Combinatorics, 2021, 53 : 1187 - 1213
[29] Direct probe of topology and geometry of quantum states on the IBM Q quantum processor
Chen, Tianqi
Ding, Hai-Tao
Shen, Ruizhe
Zhu, Shi-Liang
Gong, Jiangbin
PHYSICAL REVIEW B, 2024, 110 (20)
[30] Quantum geometry and quantum gravity
Fernando Barbero, J.
GEOMETRY AND PHYSICS XVI INTERNATIONAL FALL WORKSHOP, 2008, 1023 : 3 - 33

← 1 2 3 4 5 →