埃弗雷特多元宇宙中的量子坍缩和计算。

IF 2 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Entropy Pub Date : 2024-12-09 DOI:10.3390/e26121068
Fabrizio Tamburini, Ignazio Licata
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引用次数: 0

摘要

宇宙的数学表示由一系列符号、规则和运算符组成,这些运算符包含Gödel的不可判定命题:信息及其操作,也包括图灵机。经典的信息理论和数学,理想地独立于所使用的媒介,可以从它们与量子信息的对应中得到现实和客观的解释,量子信息是物理的。在任何情况下,宇宙及其演化的每一种表现形式都是宇宙的物理子集,是由局部量子测量产生的时空事件构成的观察者及其在宇宙中的补充。它们的描述成为一个语义封闭的结构,没有全局对象环境退相干的损失,就像冯·诺伊曼的通用构造器一样,具有语义抽象,其结构不能从内部观察者确定性地先验地确定。在一个语义封闭的结构中,一个写构造者语义抽象的特定事件的实现是一个问题,即从任何量子测量的特定结果中找到宇宙进化的“哪条路”,作为元结构中构造者状态的选择,就像多世界埃弗雷特场景一样,对应于一个内部观察者的Gödel不可判定命题。
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Quantum Collapse and Computation in an Everett Multiverse.

The mathematical representation of the universe consists of sequences of symbols, rules and operators containing Gödel's undecidable propositions: information and its manipulation, also with Turing Machines. Classical information theory and mathematics, ideally independent from the medium used, can be interpreted realistically and objectively from their correspondence with quantum information, which is physical. Each representation of the universe and its evolution are, in any case, physical subsets of the universe, structured sets of observers and their complements in the universe made with spacetime events generated by local quantum measurements. Their description becomes a semantically closed structure without a global object-environment loss of decoherence as a von Neumann's universal constructor with a semantical abstract whose structure cannot be decided deterministically a priori from an internal observer. In a semantically closed structure, the realization of a specific event that writes the semantical abstract of the constructor is a problem of finding "which way" for the evolution of the universe as a choice of the constructor's state in a metastructure, like the many-world Everett scenario, from a specific result of any quantum measurement, corresponding to a Gödel undecidable proposition for an internal observer.

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来源期刊
Entropy
Entropy PHYSICS, MULTIDISCIPLINARY-
CiteScore
4.90
自引率
11.10%
发文量
1580
审稿时长
21.05 days
期刊介绍: Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.
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