Foundations of Physics最新文献_第6页

Decoherence as a High-Dimensional Geometrical Phenomenon 退相干是一种高维几何现象

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-27 DOI: 10.1007/s10701-023-00740-8

Antoine Soulas

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A Set-Theoretic Analysis of the Black Hole Entropy Puzzle 黑洞熵之谜的集合论分析

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-21 DOI: 10.1007/s10701-023-00737-3

Gábor Etesi

{"title":"A Set-Theoretic Analysis of the Black Hole Entropy Puzzle","authors":"Gábor Etesi","doi":"10.1007/s10701-023-00737-3","DOIUrl":"10.1007/s10701-023-00737-3","url":null,"abstract":"<div><p>Motivated by the known mathematical and physical problems arising from the current mathematical formalization of the physical spatio-temporal continuum, as a substantial technical clarification of our earlier attempt (Etesi in Found Sci 25:327–340, 2020), the aim in this paper is twofold. Firstly, by interpreting Chaitin’s variant of Gödel’s first incompleteness theorem as an inherent uncertainty or fuzziness present in the set of real numbers, a set-theoretic entropy is assigned to it using the Kullback–Leibler relative entropy of a pair of Riemannian manifolds. Then exploiting the non-negativity of this relative entropy an abstract Hawking-like area theorem is derived. Secondly, by analyzing Noether’s theorem on symmetries and conserved quantities, we argue that whenever the four dimensional space-time continuum containing a single, stationary, asymptotically flat black hole is modeled by the set of real numbers in the mathematical formulation of general relativity, the hidden set-theoretic entropy of this latter structure reveals itself as the entropy of the black hole (proportional to the area of its “instantaneous” event horizon), indicating that this apparently physical quantity might have a pure set-theoretic origin, too.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-023-00737-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138953223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Modeling the Past Hypothesis: A Mechanical Cosmology 模拟过去假说：机械宇宙学

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-19 DOI: 10.1007/s10701-023-00745-3

Jordan Scharnhorst, Anthony Aguirre

引用次数: 0

Non-symmetric Transition Probability in Generalized Qubit Models 广义 Qubit 模型中的非对称过渡概率

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-19 DOI: 10.1007/s10701-023-00744-4

Gerd Niestegge

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Is the Universe in a Mixed State? 宇宙处于混合状态吗？

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-17 DOI: 10.1007/s10701-023-00742-6

Shan Gao

引用次数: 0

A Critical Analysis of ‘Relative Facts Do Not Exist: Relational Quantum Mechanics Is Incompatible with Quantum Mechanics’ by Jay Lawrence, Marcin Markiewicz and Marek Źukowski 对 Jay Lawrence、Marcin Markiewicz 和 Marek Źukowski 所著《相对事实不存在：Jay Lawrence、Marcin Markiewicz 和 Marek Źukowski 合著的《关系量子力学与量子力学不相容

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-11 DOI: 10.1007/s10701-023-00743-5

Aurélien Drezet

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Some Remarks on Recent Formalist Responses to the Hole Argument 关于近期形式主义对洞穴论证的回应的一些评论

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-11 DOI: 10.1007/s10701-023-00746-2

Tushar Menon, James Read

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An Alternative Foundation of Quantum Theory 量子理论的另一种基础

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-05 DOI: 10.1007/s10701-023-00735-5

Inge S. Helland

{"title":"An Alternative Foundation of Quantum Theory","authors":"Inge S. Helland","doi":"10.1007/s10701-023-00735-5","DOIUrl":"10.1007/s10701-023-00735-5","url":null,"abstract":"<div><p>A new approach to quantum theory is proposed in this paper. The basis is taken to be theoretical variables, variables that may be accessible or inaccessible, i.e., it may be possible or impossible for an observer to assign arbitrarily sharp numerical values to them. In an epistemic process, the accessible variables are just ideal observations connected to an observer or to some communicating observers. Group actions are defined on these variables, and group representation theory is the basis for developing the Hilbert space formalism here. Operators corresponding to accessible theoretical variables are derived, and in the discrete case, it is proved that the possible physical values are the eigenvalues of these operators. The focus of the paper is some mathematical theorems paving the ground for the proposed foundation of quantum theory. It is shown here that the groups and transformations needed in this approach can be constructed explicitly in the case where the accessible variables are finite-dimensional. This simplifies the theory considerably: To reproduce the Hilbert space formulation, it is enough to assume the existence of two complementary variables. The interpretation inferred from the proposed foundation here may be called a general epistemic interpretation of quantum theory. A special case of this interpretation is QBism; it also has a relationship to several other interpretations.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-023-00735-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138491340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the Quasi-Separability of Atoms and Molecules 论原子和分子的准分离性

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-05 DOI: 10.1007/s10701-023-00736-4

Alejandro López-Castillo

{"title":"On the Quasi-Separability of Atoms and Molecules","authors":"Alejandro López-Castillo","doi":"10.1007/s10701-023-00736-4","DOIUrl":"10.1007/s10701-023-00736-4","url":null,"abstract":"<div><p>Atoms and molecules are particular kinds of restricted n-body systems, which generally behave as quasi-separable, unlike other n-body systems, e.g., Newtonian ones. The Coulomb repulsion and the Pauli exclusion principle in atoms and molecules are responsible for that separability. Additionally, chemical bonds, especially covalent bonds, enhance the separability of molecules. Independent particle models do not describe atoms and molecules since first-order energy corrections are high. However, these corrections obtained by the first-order perturbation or mean-field strongly converge, implying a one-electron effective potential description. Consequently, stable states of atoms and molecules can be reasonably described by one-electron effective potentials, which strongly differ from other n-body problems. We discuss the peculiarities of the correlation motion of generic systems in the context of the four fundamental forces. In particular, we have shown that the two components (attraction and repulsion) of the electromagnetic force confer a relatively low correlation motion to atoms and molecules. We discuss the physical and chemical nature of atoms and molecules, comparing the degrees of separability between different systems. For example, the separability of Newtonian systems is generally possible in particular classes of restricted systems due to relative mass differences. However, for atoms and molecules, the separability is much broader.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138491266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Proposal for a New Kind of Spontaneous Collapse Model 关于新型自发坍塌模型的建议

IF 1.5 3区物理与天体物理

Foundations of Physics Pub Date : 2023-12-05 DOI: 10.1007/s10701-023-00739-1

Nicolò Piccione

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