Foundations of Physics最新文献

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Reconstruction of f(R) Gravity from Cosmological Unified Dark Fluid Model 从宇宙学统一暗流模型重构 f(R) 引力
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-02-19 DOI: 10.1007/s10701-023-00751-5
Esraa Ali Elkhateeb
{"title":"Reconstruction of f(R) Gravity from Cosmological Unified Dark Fluid Model","authors":"Esraa Ali Elkhateeb","doi":"10.1007/s10701-023-00751-5","DOIUrl":"10.1007/s10701-023-00751-5","url":null,"abstract":"<div><p>In this work, we reconstruct the cosmological unified dark fluid model proposed previously by Elkhateeb (Astrophys Space Sci 363(1):7, 2018) in the framework of <i>f</i>(<i>R</i>) gravity. Utilizing the equivalence between the scalar-tensor theory and the <i>f</i>(<i>R</i>) gravity theory, the scalar field for the dark fluid is obtained, whence the <i>f</i>(<i>R</i>) function is extracted and its viability is discussed. The <i>f</i>(<i>R</i>) functions and the scalar field potentials have then been extracted in the early and late times of asymptotically de Sitter spacetime. The ability of our function to describe early time inflation is also tested. The early time scalar field potential is used to derive the slow roll inflation parameters. Our results of the tensor-to-scalar ratio <i>r</i> and the scalar spectral index <span>(n_s)</span> are in good agreement with results from Planck-2018 TT+TE+EE+lowE data for the model parameter <span>(n &gt; 2)</span>.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-023-00751-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139917982","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
Schrödinger Cats and Quantum Complementarity 薛定谔猫与量子互补性
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-01-25 DOI: 10.1007/s10701-023-00750-6
Lorenzo Maccone
{"title":"Schrödinger Cats and Quantum Complementarity","authors":"Lorenzo Maccone","doi":"10.1007/s10701-023-00750-6","DOIUrl":"10.1007/s10701-023-00750-6","url":null,"abstract":"<div><p>Complementarity tells us we cannot know precisely the values of all the properties of a quantum object at the same time: the precise determination of one property implies that the value of some other (complementary) property is undefined. E.g. the precise knowledge of the position of a particle implies that its momentum is undefined. Here we show that a Schrödinger cat has a well defined value of a property that is complementary to its “being dead or alive” property. Then, thanks to complementarity, it has an undefined value of the property “being dead or alive”. In other words, the cat paradox is explained through quantum complementarity: of its many complementary properties, any quantum system, such as a cat, can have a well defined value only of one at a time. Schrödinger’s cat has a definite value of a property which is complementary to “being dead or alive”, so it is neither dead nor alive. Figuratively one can say it is both dead <i>and</i> alive. While this interpretation only uses textbook concepts (the Copenhagen interpretation), apparently it has never explicitly appeared in the literature. We detail how to build an Arduino based simulation of Schrödinger’s experiment based on these concepts for science outreach events.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-023-00750-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139583537","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
Fundamental Units in Gravitational, Electromagnetic and Weak (Fermi) Interactions 引力、电磁和弱(费米)相互作用的基本单位
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-01-22 DOI: 10.1007/s10701-023-00741-7
M. Novello, V. Antunes
{"title":"Fundamental Units in Gravitational, Electromagnetic and Weak (Fermi) Interactions","authors":"M. Novello,&nbsp;V. Antunes","doi":"10.1007/s10701-023-00741-7","DOIUrl":"10.1007/s10701-023-00741-7","url":null,"abstract":"<div><p>In analogy with Planck’s construction of fundamental quantities in gravitation, we construct fundamental quantities associated with (1) theories of electrodynamics in which the electromagnetic field has a maximum value (e.g. Born-Infeld theory), and (2) the Fermi interaction. This gives us a maximum intensity of the electromagnetic field, and also reveals a close relationship between the fundamental lengths associated with the gravitational and weak interactions, supporting the connection between these two interactions.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139555391","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
Non-Relativistic Regime and Topology: Topological Term in the Einstein Equation 非相对论时态与拓扑学:爱因斯坦方程中的拓扑术语
IF 1.2 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-01-19 DOI: 10.1007/s10701-023-00749-z
Quentin Vigneron
{"title":"Non-Relativistic Regime and Topology: Topological Term in the Einstein Equation","authors":"Quentin Vigneron","doi":"10.1007/s10701-023-00749-z","DOIUrl":"10.1007/s10701-023-00749-z","url":null,"abstract":"<div><p>We study the non-relativistic (NR) limit of relativistic spacetimes in relation with the topology of the Universe. We first show that the NR limit of the Einstein equation is only possible in Euclidean topologies, i.e., for which the covering space is <span>(mathbb {E}^3)</span>. We interpret this result as an inconsistency of general relativity in non-Euclidean topologies and propose a modification of that theory which allows for the limit to be performed in any topology. For this, a second reference non-dynamical connection is introduced in addition to the physical spacetime connection. The choice of reference connection is related to the covering space of the spacetime topology. Instead of featuring only the physical spacetime Ricci tensor, the modified Einstein equation features the difference between the physical and the reference Ricci tensors. This theory should be considered instead of general relativity if one wants to study a universe with a non-Euclidean topology and admitting a non-relativistic limit.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139498411","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 Reality of the Quantum State Once Again: A No-Go Theorem for (psi)-Ontic Models 再论量子态的现实性:量子模型的 "不走 "定理
IF 1.5 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-01-11 DOI: 10.1007/s10701-023-00748-0
Gabriele Carcassi, Andrea Oldofredi, Christine A. Aidala
{"title":"On the Reality of the Quantum State Once Again: A No-Go Theorem for (psi)-Ontic Models","authors":"Gabriele Carcassi,&nbsp;Andrea Oldofredi,&nbsp;Christine A. Aidala","doi":"10.1007/s10701-023-00748-0","DOIUrl":"10.1007/s10701-023-00748-0","url":null,"abstract":"<div><p>In this paper we show that <span>(psi)</span>-ontic models, as defined by Harrigan and Spekkens (HS), cannot reproduce quantum theory. Instead of focusing on probability, we use information theoretic considerations to show that all pure states of <span>(psi)</span>-ontic models must be orthogonal to each other, in clear violation of quantum mechanics. Given that (i) Pusey, Barrett and Rudolph (PBR) previously showed that <span>(psi)</span>-epistemic models, as defined by HS, also contradict quantum mechanics, and (ii) the HS categorization is exhausted by these two types of models, we conclude that the HS categorization itself is problematic as it leaves no space for models that can reproduce quantum theory.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139430943","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
What Does ‘(Non)-absoluteness of Observed Events’ Mean? 观察事件的(非)模糊性 "意味着什么?
IF 1.5 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-01-10 DOI: 10.1007/s10701-023-00747-1
Emily Adlam
{"title":"What Does ‘(Non)-absoluteness of Observed Events’ Mean?","authors":"Emily Adlam","doi":"10.1007/s10701-023-00747-1","DOIUrl":"10.1007/s10701-023-00747-1","url":null,"abstract":"<div><p>Recently there have emerged an assortment of theorems relating to the ‘absoluteness of emerged events,’ and these results have sometimes been used to argue that quantum mechanics may involve some kind of metaphysically radical non-absoluteness, such as relationalism or perspectivalism. However, in our view a close examination of these theorems fails to convincingly support such possibilities. In this paper we argue that the Wigner’s friend paradox, the theorem of Bong et al and the theorem of Lawrence et al are all best understood as demonstrating that if quantum mechanics is universal, and if certain auxiliary assumptions hold, then the world inevitably includes various forms of ‘disaccord,’ but this need not be interpreted in a metaphysically radical way; meanwhile, the theorem of Ormrod and Barrett is best understood either as an argument for an interpretation allowing multiple outcomes per observer, such as the Everett approach, or as a proof that quantum mechanics cannot be universal in the sense relevant for this theorem. We also argue that these theorems taken together suggest interesting possibilities for a different kind of relational approach in which <i>interaction</i> states are relativized whilst observed events are absolute, and we show that although something like ‘retrocausality’ might be needed to make such an approach work, this would be a very special kind of retrocausality which would evade a number of common objections against retrocausality. We conclude that the non-absoluteness theorems may have a significant role to play in helping converge towards an acceptable solution to the measurement problem.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-023-00747-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139406719","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
Learning from Paradoxes 从矛盾中学习
IF 1.5 3区 物理与天体物理
Foundations of Physics Pub Date : 2024-01-03 DOI: 10.1007/s10701-023-00733-7
Alessandro Bettini
{"title":"Learning from Paradoxes","authors":"Alessandro Bettini","doi":"10.1007/s10701-023-00733-7","DOIUrl":"10.1007/s10701-023-00733-7","url":null,"abstract":"<div><p>George Francis FitzGerald is well known to have proposed in 1889, three years before Lorentz, the (physical) contraction of bodies moving in the hypothetical ether, as an “explanation” the null result of the Michelson and Morley experiment. Less known is his proposal of an ether-drift experiment based on an electrostatic system. A simple charged condenser suspended by a wire would be subject to a torque due to the earth’s motion. The experiment was done by his pupil Trouton, with Noble, with null result. It was an important independent confirmation of the relativity principle, but it was substantially forgotten. It came back, under the form of a paradox, in the second half of the past century, usefully triggering an in-depth discussion on the electromagnetic energy and momentum flow in stationary systems, in which intuitively one thinks momentum should be zero, but it is not. The solution of the Trouton–Noble paradox, and similar ones, has led to a better understanding of the interplay between electromagnetic field and matter and to develop relevant examples for the university courses.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-023-00733-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139083065","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
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
{"title":"Decoherence as a High-Dimensional Geometrical Phenomenon","authors":"Antoine Soulas","doi":"10.1007/s10701-023-00740-8","DOIUrl":"10.1007/s10701-023-00740-8","url":null,"abstract":"<div><p>We develop a mathematical formalism that allows to study decoherence with a great level generality, so as to make it appear as a geometrical phenomenon between reservoirs of dimensions. It enables us to give quantitative estimates of the level of decoherence induced by a purely random environment on a system according to their respectives sizes, and to exhibit some links with entanglement entropy.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139041325","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 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":"54 1","pages":""},"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
{"title":"Modeling the Past Hypothesis: A Mechanical Cosmology","authors":"Jordan Scharnhorst,&nbsp;Anthony Aguirre","doi":"10.1007/s10701-023-00745-3","DOIUrl":"10.1007/s10701-023-00745-3","url":null,"abstract":"<div><p>There is a paradox in the standard model of cosmology. How can matter in the early universe have been in thermal equilibrium, indicating maximum entropy, but the initial state also have been low entropy (the “past hypothesis\"), so as to underpin the second law of thermodynamics? The problem has been highly contested, with the only consensus being that gravity plays a role in the story, but with the exact mechanism undecided. In this paper, we construct a well-defined mechanical model to study this paradox. We show how it reproduces the salient features of standard big-bang cosmology with surprising success, and we use it to produce novel results on the statistical mechanics of a gas in an expanding universe. We conclude with a discussion of potential uses of the model, including the explicit computation of the time-dependent coarse-grained entropies needed to investigate the past hypothesis.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 1","pages":""},"PeriodicalIF":1.5,"publicationDate":"2023-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138744699","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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