{"title":"Locality and Probability in Relativistic Quantum Theories and Hidden Variables Quantum Theories","authors":"Avi Levy, Meir Hemmo","doi":"10.1007/s10701-025-00885-8","DOIUrl":"10.1007/s10701-025-00885-8","url":null,"abstract":"<div><p>We use the framework of Empirical Models (EM) and Hidden Variables Models (HVM) to analyze the locality and stochasticity properties of relativistic quantum theories, such as Quantum Field Theory (QFT). First, we present the standard definition of properties such as determinism, no signaling, locality, and contextuality for HVM and for EM and their relations. Then, we show that if no other conditions are added, there are only two types of EM: An EM is either classical, by which we mean that it is strongly deterministic, local, and non-contextual; Or else an EM is non-classical, in which case it is weakly deterministic, non-local and contextual. Consequently, we define criteria for an HVM to be Lorentz invariant and prove that Lorentz invariance implies parameter independence. As a result, we show that a Lorentz invariant and contextual model (e.g., relativistic quantum theory) must be genuinely stochastic i.e., it cannot have a deterministic (strong or weak) HVM. This proof is an improved version of a theorem we proved previously, and it has a wider scope. Finally, we discuss Bell’s definition of locality and show that it is equivalent to non-contextuality. We argue that Bell’s justification for this definition tacitly assumes non-contextuality (which is equivalent to strong determinism). We propose an alternative definition of locality for contextual and relativistic theories that accounts for correlations that result from common history and renders QFT a local theory.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 5","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169891","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}
{"title":"Proposed Experiments for Detecting Contextual Hidden Variables","authors":"Konstantinos Papatryfonos, Louis Vervoort","doi":"10.1007/s10701-025-00877-8","DOIUrl":"10.1007/s10701-025-00877-8","url":null,"abstract":"<div><p>We propose two quantum experiments – modified Bell tests – that could detect contextual hidden variables underlying quantum mechanics. The experiments are inspired by hydrodynamic pilot-wave systems that mimic a wide range of quantum effects and exhibit a classical analog of contextuality. To justify the experiments, we show that contextual hidden variables are inevitable and ‘physics as usual’ if a unification between quantum mechanics and general relativity is possible. Accordingly, contextual theories can bypass Bell’s theorem in a way that is both local and non-conspiratorial. We end with a note on the relevance of exploratory experiments in the foundations of quantum physics.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 5","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073979","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}
{"title":"Thermodynamic Signature of Logical Depth in Quantum Circuits","authors":"Issam Ibnouhsein","doi":"10.1007/s10701-025-00883-w","DOIUrl":"10.1007/s10701-025-00883-w","url":null,"abstract":"<div><p>We demonstrate that the internal logical structure of a quantum circuit can leave a distinct thermodynamic signature under progressive decoherence. By comparing deep, conditionally branching circuits with shallow, uniform counterparts—while controlling for overall halting probability and physical resources—we show that branching architectures induce greater entropy flow into the environment. This effect is captured by a logical depth factor <span>(L_d)</span>, which quantifies entropy accumulation during environmental interactions. We validate our framework through detailed analysis of two 4-branch quantum circuits, demonstrating greater entropy production with <span>(L_d approx 1.615)</span> for conditional versus uniform architectures. An ancilla-based experimental protocol using controlled-phase gates provides a concrete pathway for detecting these thermodynamic signatures on current quantum platforms. Our results establish logical depth as a physically measurable quantity with implications for circuit design, compilation strategies, and verification protocols.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 5","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990625","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}
{"title":"Antirealism in Sheep’s Clothing","authors":"Raoni Arroyo, Jonas R. Becker Arenhart","doi":"10.1007/s10701-025-00881-y","DOIUrl":"10.1007/s10701-025-00881-y","url":null,"abstract":"<div><p>Scientific realism is the philosophical stance that science tracks truth, in particular in its depiction of the world’s ontology. Ontologically, this involves a commitment to the existence of entities posited by our best scientific theories; metaontologically, it includes the claim that the theoretical framework itself is true. In this article, we examine wave function realism as a case study within this broader methodological debate. Wave function realism holds that the wave function, as described by quantum mechanics, corresponds to a real physical entity. We focus on a recent formulation of this view that commits to the ontology of the wave function while deliberately avoiding the metaontological question of the framework’s truth. Instead, the view is defended on pragmatic, non-truth-conductive grounds. This, we argue, raises tensions for the purported realism of wave function realism and its compatibility with scientific realism more broadly.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 5","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144934697","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}
Christian Mancini, Guglielmo Maria Tino, Salvatore Capozziello
{"title":"Equivalent Gravities and Equivalence Principle: Foundations and Experimental Implications","authors":"Christian Mancini, Guglielmo Maria Tino, Salvatore Capozziello","doi":"10.1007/s10701-025-00882-x","DOIUrl":"10.1007/s10701-025-00882-x","url":null,"abstract":"<div><p>The so-called Geometric Trinity of Gravity includes General Relativity (GR), based on spacetime curvature; the Teleparallel Equivalent of GR (TEGR), which relies on spacetime torsion; and the Symmetric Teleparallel Equivalent of GR (STEGR), grounded in nonmetricity. Recent studies demonstrate that GR, TEGR, and STEGR are dynamically equivalent, raising questions about the fundamental structure of spacetime, the under-determination of these theories, and whether empirical distinctions among them are possible. The aim of this work is to show that they are equivalent in many features but not exactly in everything. In particular, their relationship with the Equivalence Principle (EP) is different. The EP is a deeply theory-laden assumption, which is assumed as fundamental in constructing GR, with significant implications for our understanding of spacetime. However, it introduces unresolved conceptual issues, including its impact on the nature of the metric and connection, its meaning at the quantum level, tensions with other fundamental interactions and new physics, and its role in dark matter and dark energy problems. In contrast, TEGR and STEGR recover the EP, in particular in its strong formulation, but do not rely on it as a foundational principle. The fact that GR, TEGR, and STEGR are equivalent in non-trivial predictions, but the EP is not necessary for TEGR and STEGR, suggests that it may not be a fundamental feature but an emergent one, potentially marking differences in the empirical content of the three theories. Thus, the developments within the Geometric Trinity framework challenge traditional assumptions about spacetime and may help to better understand some of the unresolved foundational difficulties related to the EP.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 5","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-025-00882-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144914726","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}
{"title":"Perspectives on the Quantum State","authors":"Lucy Mason","doi":"10.1007/s10701-025-00884-9","DOIUrl":"10.1007/s10701-025-00884-9","url":null,"abstract":"<div>\u0000 \u0000 <p>There are two main styles of interpreting the quantum state: either focusing on the fundamentality of the quantum state (a state or wavefunction realist view), or on how projection operators represent observable properties (an observable-first approach). Rather than being incompatible, I argue that these correspond to taking a 3rd person and 1st person perspective respectively. I further contend that the 1st person perspective - and the observable-first approach that goes with it - is better suited to explain measurement, based on the way that the metrology literature characterises measurement through the quantifiable properties of a system. Finally, I show how the 1st person, observable-first approach can emerge in the world through the process of decoherence, hence showing the compatibility of the two approaches and resolving the need to choose absolutely between them.</p>\u0000 </div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 5","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-025-00884-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144914727","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}
{"title":"A Note on the Electron’s Magnetic Moment","authors":"Marco Sanchioni","doi":"10.1007/s10701-025-00880-z","DOIUrl":"10.1007/s10701-025-00880-z","url":null,"abstract":"<div><p>Sebens (2025) has proposed a semiclassical “precursor” to quantum electrodynamics (QED) in which the electron’s anomalous magnetic moment arises from the self-interaction of an extended charge distribution governed by the Dirac equation. The calculation reproduces Schwinger’s leading-order value only for suitably tuned, spatially extended wave-packets, and thus yields a state-dependent magnetic moment. This paper offers a systematic critique of that result. After reviewing the standard QED derivation—where the anomaly is fixed by gauge symmetry, the Ward–Takahashi identity, and renormalization—we show that the semiclassical model lacks the structural resources that guarantee universality. Drawing on a general distinction between phenomenological dependence and theoretical fundamentality, we argue that Sebens’s construction attains intuitive, mechanical appeal at the cost of explanatory depth: its high phenomenologicality cannot compensate for its low fundamentality. What Sebens treats as a puzzle for QED—how the theory “nails down” a single value of <span>(g-2)</span>—is instead a symptom of the precursor’s incompleteness. The episode illustrates a broader methodological point: in modern physics, structural principles, rather than classical pictures, underwrite genuine explanation.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163061","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}
{"title":"A Discussion on the Validity of the PBR Theorem","authors":"İnanç Şahin, Gazi Alumur","doi":"10.1007/s10701-025-00879-6","DOIUrl":"10.1007/s10701-025-00879-6","url":null,"abstract":"<div><p>Recently, a counter-argument has been presented regarding the invalidity of the Pusey-Barrett-Rudolph (PBR) theorem (Cabbolet, Found. Phys. <b>53</b>, 64 2023). This claim has sparked a debate, with some authors defending the PBR theorem (Hofer-Szabó, Found. Phys. <b>54</b>, 36 2024), but the proponent of the claim has insisted on his argument (Cabbolet, Found. Phys. 54, 69 2024; Cabbolet, Found. Phys. <b>54</b>, 48 2024). Moreover, the author claimed to have proved that the PBR theorem is incorrect by a generic counterexample (Cabbolet, Found. Phys. <b>54</b>, 48 2024). In this paper, we contribute to the discussion with some new arguments. We demonstrate that the PBR theorem contains no errors and remains intact.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145160879","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}
{"title":"Perspectivism, Concrete and Abstract","authors":"Quentin Ruyant","doi":"10.1007/s10701-025-00878-7","DOIUrl":"10.1007/s10701-025-00878-7","url":null,"abstract":"<div><p>Perspectivist positions have been proposed in physics, notably in order to address the interpretive difficulties of quantum mechanics. Recently, some versions of perspectivism have also been proposed in general philosophy of science to account for the plurality of scientific practice. Both kinds of views share the rejection of what they metaphorically call the “view from nowhere”. However, beyond this superficial similarity, they are very different: while quantum perspectivism entertains a concrete notion of perspective associated with individual agents or systems or concrete contexts, perspectival realism adopts a more abstract notion associated with explanatory aims or conceptual schemes. The aim of this paper is to clarify what is at stake with perspectivism <i>in general</i>. The general notion of a perspective, as well as the various attitudes one can entertained towards them, are characterised using the concepts of harmless contradiction and cross-perspectival accessibility. A taxonomy of positions ranging from absolutism to relativism is proposed on this basis. Then the framework is applied to quantum perspectivism and perspectival realism to show its fruitfulness. Finally, I argue that abstract versions of perspectivism are bound to be metaphysically weaker than concrete versions.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10701-025-00878-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171875","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}
{"title":"The Emergence of the Relativistic Lagrangian from the Non-Relativistic Multiplicative Lagrangian","authors":"Kittikun Surawuttinack, Suppanat Supanyo, Sikarin Yoo-Kong","doi":"10.1007/s10701-025-00874-x","DOIUrl":"10.1007/s10701-025-00874-x","url":null,"abstract":"<div><p>The multiplicative Lagrangian and Hamiltonian introduce an additional parameter that, despite its variation, results in identical equations of motion as those derived from the standard Lagrangian. This intriguing property becomes even more striking in the case of a free particle. By manipulating the parameter and integrating out, the statistical average of the multiplicative Lagrangian and Hamiltonian naturally arises. Astonishingly, from this statistical viewpoint, the relativistic Lagrangian and Hamiltonian emerge with remarkable elegance. On the action level, this formalism unveils a deeper connection: the spacetime of Einstein’s theory reveals itself from a statistical perspective through the action associated with the multiplicative Lagrangian. This suggests that the multiplicative Lagrangian/Hamiltonian framework offers a profound and beautiful foundation, one that reveals the underlying unity between classical and relativistic descriptions in a way that transcends traditional formulations. In essence, the multiplicative approach introduces a richer and more intricate structure to our understanding of physics, bridging the gap between different theoretical realms through a statistical perspective.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"55 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145165801","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}