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A GENERAL NO-CLONING THEOREM FOR AN INFINITE MULTIVERSE
被引:3
|作者:
Gauthier, Yvon
[1
]
机构:
[1] Univ Montreal, Fac Arts & Sci, Montreal, PQ H3C 3J7, Canada
关键词:
topological invariance;
combinatorial set-theoretic foundations;
free will theorem;
quantum mechanics;
multiverse cosmology;
INVARIANCE;
D O I:
10.1016/S0034-4877(14)60013-6
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
In this paper, I formulate a general no-cloning theorem which covers the quantum-mechanical and the theoretical quantum information cases as well as the cosmological multiverse theory. However, the main argument is topological and does not involve the peculiar copier devices of the quantum-mechanical and information-theoretic approaches to the no-cloning thesis. It is shown that a combinatorial set-theoretic treatment of the mathematical and physical spacetime continuum in cosmological or quantum-mechanical terms forbids an infinite (countable or uncountable) number of exact copies of finite elements (states) in the uncountable multiverse cosmology. The historical background draws on ideas from Weyl to Conway and Kochen on the free will theorem in quantum mechanics.
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页码:191 / 199
页数:9
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