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Does Locality Imply Reality of the Wave Function? Hardy’s Theorem Revisited 位置性意味着波函数的现实性吗？哈代定理再探讨
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-07-02 DOI: 10.1007/s10701-024-00781-7
Shan Gao
{"title":"Does Locality Imply Reality of the Wave Function? Hardy’s Theorem Revisited","authors":"Shan Gao","doi":"10.1007/s10701-024-00781-7","DOIUrl":"10.1007/s10701-024-00781-7","url":null,"abstract":"<div><p>Hardy’s <span>(psi)</span>-ontology theorem proves the reality of the wave function under the assumption of restricted ontic indifference. It has been conjectured that restricted ontic indifference, which is a very strong assumption from the <span>(psi)</span>-epistemic view, can be derived from two weaker sub-assumptions: an ontic state assumption and a locality assumption. However, Leifer argued that this derivation cannot go through when considering the existence of the vacuum state in the second-quantized description of quantum states. In this paper, I present a new analysis of Hardy’s theorem. First, I argue that the ontic state assumption is valid in the second-quantized description of quantum states. Second, I argue that the locality assumption is a locality assumption for product states and it is weaker than the preparation independence assumption of the PBR theorem. Third, I argue that Leifer’s objection to the derivation of restricted ontic indifference is invalid. Finally, I argue that although the vacuum state is irrelevant, the existence of the tails of the wave function will block the derivation of restricted ontic indifference from the ontic state assumption and the locality assumption.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141524901","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
Comment on Aurélien Drezet’s Defense of Relational Quantum Mechanics 评论奥雷利安-德雷泽对关系量子力学的辩护
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-07-02 DOI: 10.1007/s10701-024-00784-4
Jay Lawrence, Marcin Markiewicz, Marek Żukowski
{"title":"Comment on Aurélien Drezet’s Defense of Relational Quantum Mechanics","authors":"Jay Lawrence,&nbsp;Marcin Markiewicz,&nbsp;Marek Żukowski","doi":"10.1007/s10701-024-00784-4","DOIUrl":"10.1007/s10701-024-00784-4","url":null,"abstract":"<div><p>Aurélien Drezet has attempted in Found. Phys. <b>54</b>(1), 5 (2023) to defend Relational Quantum Mechanics (RQM) against our recent critique, entitled <i>Relational Quantum Mechanics is incompatible with quantum mechanics</i>, published in Quantum <b>7</b>, 1015 (2023). Drezet not only misrepresents our work, but he also misconstructs the very theory (RQM) that he claims to defend.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-024-00784-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141531947","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
A Case Study for Leibnizian Ideas in Wolfram Model Wolfram 模型中的莱布尼茨思想案例研究
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-06-23 DOI: 10.1007/s10701-024-00777-3
Furkan Semih Dündar
{"title":"A Case Study for Leibnizian Ideas in Wolfram Model","authors":"Furkan Semih Dündar","doi":"10.1007/s10701-024-00777-3","DOIUrl":"10.1007/s10701-024-00777-3","url":null,"abstract":"<div><p>We study implications of Leibnizian ideas such as the identity of indiscernibles, and variety (due to Barbour and Smolin) in the context of Wolfram Model, which has been put forward in 2020. We have provided (at the moment) speculative interpretations for Leibnizian and non-Leibnizian hypergraphs. We introduced an action based on variety, to select paths where it is maximized. The specific universe which is of concern here is the one with name ‘wm1268’ from the Registry of Notable Universe Models, which is used as a test case in the present study.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508537","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
Has the Problem of the Motion of a Heavy Symmetric Top been Solved in Quadratures? 对称重顶的运动问题是否已用四则运算解决？
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-06-20 DOI: 10.1007/s10701-024-00771-9
Alexei A. Deriglazov
{"title":"Has the Problem of the Motion of a Heavy Symmetric Top been Solved in Quadratures?","authors":"Alexei A. Deriglazov","doi":"10.1007/s10701-024-00771-9","DOIUrl":"10.1007/s10701-024-00771-9","url":null,"abstract":"<div><p>We have revised the problem of the motion of a heavy symmetric top. When formulating equations of the Lagrange top with the diagonal inertia tensor, the potential energy has more complicated form as compared with that assumed in the literature on dynamics of a rotating body. This implies the corresponding improvements in equations of motion. Using the Liouville’s theorem, we solve the improved equations in quadratures and present the explicit expressions for the resulting elliptic integrals.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508538","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
On the Growing Universe of Causal Set Theory—An Order-Type Approach 论因果集合论的成长宇宙--一种秩序型方法
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-06-20 DOI: 10.1007/s10701-024-00767-5
Tomasz Placek, Leszek Wroński
{"title":"On the Growing Universe of Causal Set Theory—An Order-Type Approach","authors":"Tomasz Placek,&nbsp;Leszek Wroński","doi":"10.1007/s10701-024-00767-5","DOIUrl":"10.1007/s10701-024-00767-5","url":null,"abstract":"<div><p>We investigate a model of becoming—classical sequential growth (CSG)—that has been proposed within the framework of causal sets (causets), with the latter defined as order types of certain partial orderings. To investigate how causets grow, we introduce special sequences of causets, which we call “csg-paths”. We prove a number of results concerning relations between csg-paths and causets. These results paint a highly non-trivial picture of csg-paths. There are uncountably many csg-paths, all of them sharing the same beginning, after which they branch. Every infinite csg-path achieves in the limit an infinite causet, and vice versa, every infinite causet is achieved in the limit by an infinite csg-path. However, coalescing csg-paths, i.e., ones that achieve the same causet even after forking off at some point, are ubiquitous.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-024-00767-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508539","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
A de Broglie–Bohm Model of Pure Shape Dynamics: N-Body system 纯形状动力学的 de Broglie-Bohm 模型：N 体系统
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-06-18 DOI: 10.1007/s10701-024-00776-4
Pooya Farokhi, Tim Koslowski, Pedro Naranjo, Antonio Vassallo
{"title":"A de Broglie–Bohm Model of Pure Shape Dynamics: N-Body system","authors":"Pooya Farokhi,&nbsp;Tim Koslowski,&nbsp;Pedro Naranjo,&nbsp;Antonio Vassallo","doi":"10.1007/s10701-024-00776-4","DOIUrl":"10.1007/s10701-024-00776-4","url":null,"abstract":"<div><p>We provide the construction of a de Broglie–Bohm model of the <i>N</i>-body system within the framework of Pure Shape Dynamics. The equation of state of the curve in shape space is worked out, with the instantaneous shape being guided by a wave function. In order to get a better understanding of the dynamical system, we also give some numerical analysis of the 3-body case. Remarkably enough, our simulations typically show the attractor-driven behaviour of complexity, well known in the classical case, thereby providing further evidence for the claim that the arrow of complexity is the ultimate cause of the experienced arrow of time.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-024-00776-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508540","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
Convivial Solipsism as a Maximally Perspectival Interpretation 作为最大视角诠释的共生唯我论
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-06-14 DOI: 10.1007/s10701-024-00773-7
Hervé Zwirn
{"title":"Convivial Solipsism as a Maximally Perspectival Interpretation","authors":"Hervé Zwirn","doi":"10.1007/s10701-024-00773-7","DOIUrl":"10.1007/s10701-024-00773-7","url":null,"abstract":"<div><p>A classification of different interpretations of the quantum formalism is examined and the concept of perspectival interpretation is presented. A perspectival interpretation implies that the truth is relative to the observer. The degree to which Convivial Solipsism and QBism in its different versions are perspectival is examined.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141508541","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
Univalence and Ontic Structuralism 单一性与本体结构主义
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-06-07 DOI: 10.1007/s10701-024-00768-4
Lu Chen
{"title":"Univalence and Ontic Structuralism","authors":"Lu Chen","doi":"10.1007/s10701-024-00768-4","DOIUrl":"10.1007/s10701-024-00768-4","url":null,"abstract":"<div><p>The persistent challenge of formulating ontic structuralism in a rigorous manner, which prioritizes structures over the entities they contain, calls for a transformation of traditional logical frameworks. I argue that Univalent Foundations (UF), which feature the axiom that all isomorphic structures are identical, offer such a foundation and are more attractive than other proposed structuralist frameworks. Furthermore, I delve into the significance in the case of the hole argument and, very briefly, the nature of symmetries.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-024-00768-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141389776","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
Relational Quantum Mechanics and Intuitionistic Mathematics 关系量子力学与直觉数学
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-06-02 DOI: 10.1007/s10701-024-00774-6
Charles B. Crane
{"title":"Relational Quantum Mechanics and Intuitionistic Mathematics","authors":"Charles B. Crane","doi":"10.1007/s10701-024-00774-6","DOIUrl":"10.1007/s10701-024-00774-6","url":null,"abstract":"<div><p>We propose a model of physics that blends Rovelli’s relational quantum mechanics (RQM) interpretation with the language of finite information quantities (FIQs), defined by Gisin and Del Santo in the spirit of intuitionistic mathematics. We discuss deficiencies of using real numbers to model physical systems in general, and particularly under the RQM interpretation. With this motivation for an alternative mathematical language, we propose the use of FIQs to model the world under the RQM interpretation, wherein we view the propensities that make up a FIQ as quantifications of potential interaction. Under this model, the stable facts, relative facts, and shifting perspectives that make up the relational interpretation correspond to shifting digits and propensities of the FIQs. The model’s predictions agree with those of both classical and quantum physics, and it is indeterministic. We also propose explanations, with examples, for how the propensities of a FIQ are distributed, and how its digits become actualized. This is equivalent to the notion of the measurement problem, and the question of what causes wave function collapse. In short, by stepping through the “new door” opened by the language of FIQs, we attempt to describe the world under the relational interpretation.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141194921","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
On Fermi’s Resolution of the “4/3 Problem” in the Classical Theory of the Electron 论费米解决电子经典理论中的 "4/3 问题
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-05-28 DOI: 10.1007/s10701-024-00770-w
Donato Bini, Andrea Geralico, Robert T. Jantzen, Remo Ruffini
{"title":"On Fermi’s Resolution of the “4/3 Problem” in the Classical Theory of the Electron","authors":"Donato Bini,&nbsp;Andrea Geralico,&nbsp;Robert T. Jantzen,&nbsp;Remo Ruffini","doi":"10.1007/s10701-024-00770-w","DOIUrl":"10.1007/s10701-024-00770-w","url":null,"abstract":"<div><p>We discuss the solution proposed by Fermi to the so called “4/3 problem” in the classical theory of the electron, a problem which puzzled the physics community for many decades before and after his contribution. Unfortunately his early resolution of the problem in 1922–1923 published in three versions in Italian and German journals (after three preliminary articles on the topic) went largely unnoticed. Even more recent texts devoted to classical electron theory still do not present his argument or acknowledge the actual content of those articles. The calculations initiated by Fermi at the time are completed here by formulating and discussing the conservation of the total 4-momentum of the accelerated electron as seen from the instantaneous rest frame in which it is momentarily at rest.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141172258","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
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