Pub Date : 2026-04-01Epub Date: 2026-01-28DOI: 10.1016/j.aop.2026.170365
S. Bondarenko, Raghvendra Singh
We analyze finite-volume, spatially open FLRW spacetime(s) in the time-dependent thermodynamic limit, where the physical volume depends on the number of particles in it and the particle density function . This prescription makes the boundary a dynamical element and modifies the Friedmann sector through a single combination of the time derivatives of the particle number and the density function. This function accounts for possible thermodynamic and/or quantum changes the system undergoes, and we solve the corresponding FLRW equations written in terms of this function for the proposed finite volume FLRW geometries and different equations of state of the particles. Correspondingly, we present exact trigonometric and hyperbolic solution families on both positive- and negative-energy branches and summarize their kinematic properties. Using an exact reorganization of the Friedmann equation and introducing an effective expansion rate of the volume, a new term similar to a cosmological constant in the equations arises in the framework without adding new fields. The approach also predicts a small, testable correction to observed redshifts sourced by boundary motion. Throughout, the connection between the thermodynamic inputs, which are particle number and density function, and between the background evolution of the open FLRW geometry is kept explicit.
{"title":"Open FLRW spacetime in a time-dependent thermodynamic limit","authors":"S. Bondarenko, Raghvendra Singh","doi":"10.1016/j.aop.2026.170365","DOIUrl":"10.1016/j.aop.2026.170365","url":null,"abstract":"<div><div>We analyze finite-volume, spatially open <span><math><mrow><mo>(</mo><mi>κ</mi><mo>=</mo><mo>−</mo><mn>1</mn><mo>)</mo></mrow></math></span> FLRW spacetime(s) in the time-dependent thermodynamic limit, where the physical volume depends on the number of particles <span><math><mrow><mi>N</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> in it and the particle density function <span><math><mrow><msup><mrow><mi>γ</mi></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup><mrow><mo>(</mo><mi>t</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span>. This prescription makes the boundary a dynamical element and modifies the Friedmann sector through a single combination of the time derivatives of the particle number and the density function. This function accounts for possible thermodynamic and/or quantum changes the system undergoes, and we solve the corresponding FLRW equations written in terms of this function for the proposed finite volume FLRW geometries and different equations of state of the particles. Correspondingly, we present exact trigonometric and hyperbolic solution families on both positive- and negative-energy branches and summarize their kinematic properties. Using an exact reorganization of the Friedmann equation and introducing an effective expansion rate of the volume, a new term similar to a cosmological constant in the equations arises in the framework without adding new fields. The approach also predicts a small, testable correction to observed redshifts sourced by boundary motion. Throughout, the connection between the thermodynamic inputs, which are particle number and density function, and between the background evolution of the open FLRW geometry is kept explicit.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170365"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146076058","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}
Pub Date : 2026-04-01Epub Date: 2026-01-22DOI: 10.1016/j.aop.2026.170357
R.S. Facundo, I.V. Vancea
In this paper, we construct a new non-null torus-knotted gravitational monochromatic wave solution of the linearized Einstein equations in vacuum in flat space–time, in the gravitoelectromagnetic (GEM) framework, by analogy with classical electrodynamics. We derive the relevant geometric objects: the line element, the Riemann tensor, the Ricci tensor, the Ricci scalar, and the geodesic equation for this background. Also, we investigate two properties inherent to this solution due to its GEM origin: the dual GEM potential and GEM helicity. For this solution, the global knotted topology is the result of the full Fourier synthesis of monochromatic components, each carrying local topological information in their amplitude coefficients parametrized by coprime integer pairs and .
{"title":"Non-null torus knotted gravitational waves from gravitoelectromagnetism","authors":"R.S. Facundo, I.V. Vancea","doi":"10.1016/j.aop.2026.170357","DOIUrl":"10.1016/j.aop.2026.170357","url":null,"abstract":"<div><div>In this paper, we construct a new non-null torus-knotted gravitational monochromatic wave solution of the linearized Einstein equations in vacuum in flat space–time, in the gravitoelectromagnetic (GEM) framework, by analogy with classical electrodynamics. We derive the relevant geometric objects: the line element, the Riemann tensor, the Ricci tensor, the Ricci scalar, and the geodesic equation for this background. Also, we investigate two properties inherent to this solution due to its GEM origin: the dual GEM potential and GEM helicity. For this solution, the global knotted topology is the result of the full Fourier synthesis of monochromatic components, each carrying local topological information in their amplitude coefficients parametrized by coprime integer pairs <span><math><mrow><mo>(</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo>)</mo></mrow></math></span> and <span><math><mrow><mo>(</mo><mi>l</mi><mo>,</mo><mi>s</mi><mo>)</mo></mrow></math></span>.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170357"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146037355","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}
Pub Date : 2026-04-01Epub Date: 2026-01-29DOI: 10.1016/j.aop.2026.170368
Pushpendra Singh
This work reformulates quantum mechanics in real Hilbert space and demonstrates that the complex structure inherent to the Schrödinger equation can be fully captured by a coupled system of real-valued dynamics. By employing the standard field isomorphism of to , the real counterpart of the Schrödinger equation is derived, yielding a system of coupled real partial differential equations. This system reveals a symplectic structure where the symplectic matrix geometrically represents the imaginary unit , acting as a phase-space rotation operator. Time-independent solutions decouple into identical real Helmholtz equations, preserving spectral equivalence. The reformulation provides geometric insights into foundational aspects: the geometric representation of , the emergence of probability conservation from real-component interactions, and the encoding of quantum phase relationships through the multiplicative structure of the field. This perspective reinforces connections to classical Hamiltonian mechanics and geometric quantization, suggesting that complex numbers are structural, emerging from field operations on the real plane, rather than fundamental. Building on these foundations, we present original results where quantum computation elements like qubits and gates are shown to have equivalent representations as real symplectic and special orthogonal matrices, maintaining unitary equivalence. We introduce a framework for quantum computation within a real vector space and provide a generalized protocol for generating entangled Bell states. These results offer a new perspective on the necessity of complex numbers in quantum theory, providing a framework with potential computational advantages for hybrid quantum–classical systems and enhanced geometric interpretability.
{"title":"Quantum dynamics in real Hilbert space: Algebraic isomorphism and symplectic geometry of the Schrödinger equation","authors":"Pushpendra Singh","doi":"10.1016/j.aop.2026.170368","DOIUrl":"10.1016/j.aop.2026.170368","url":null,"abstract":"<div><div>This work reformulates quantum mechanics in real Hilbert space and demonstrates that the complex structure inherent to the Schrödinger equation can be fully captured by a coupled system of real-valued dynamics. By employing the standard field isomorphism of <span><math><mrow><mo>(</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>,</mo><mo>+</mo><mo>,</mo><mi>⋅</mi><mo>)</mo></mrow></math></span> to <span><math><mi>ℂ</mi></math></span>, the real counterpart of the Schrödinger equation is derived, yielding a system of coupled real partial differential equations. This system reveals a symplectic structure where the symplectic matrix <span><math><mi>J</mi></math></span> geometrically represents the imaginary unit <span><math><mi>i</mi></math></span>, acting as a phase-space rotation operator. Time-independent solutions decouple into identical real Helmholtz equations, preserving spectral equivalence. The reformulation provides geometric insights into foundational aspects: the geometric representation of <span><math><mi>i</mi></math></span>, the emergence of probability conservation from real-component interactions, and the encoding of quantum phase relationships through the multiplicative structure of the <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> field. This perspective reinforces connections to classical Hamiltonian mechanics and geometric quantization, suggesting that complex numbers are structural, emerging from field operations on the real plane, rather than fundamental. Building on these foundations, we present original results where quantum computation elements like qubits and gates are shown to have equivalent representations as real symplectic and special orthogonal matrices, maintaining unitary equivalence. We introduce a framework for quantum computation within a real vector space and provide a generalized protocol for generating entangled Bell states. These results offer a new perspective on the necessity of complex numbers in quantum theory, providing a framework with potential computational advantages for hybrid quantum–classical systems and enhanced geometric interpretability.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170368"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146076061","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}
Pub Date : 2026-04-01Epub Date: 2026-01-20DOI: 10.1016/j.aop.2026.170347
H. Aruna Kumara , Chaitra Chooda Chalavadi , V. Venkatesha
The study investigates the possibility of wormhole solutions with dark matter profiles in the context of gravity. Its primary focus is to understand how dark matter influences the formation of traversable wormholes in galactic halos. The analysis considers different dark matter models, such as Moradpour density profile and Sofue’s exponential density profile in linear gravity. Under this model, the density profiles generate shape functions that satisfy all essential conditions for wormhole geometries. The violation of null energy conditions observed in these cases confirms that dark matter can support the existence of wormholes within galactic halos. In addition, the analysis focuses on important features of wormholes, namely the complexity factor, anisotropy, volume integral quantifier, and their embedding diagrams. The findings suggest that solutions based on various dark-matter profiles in extended symmetric teleparallel gravity are feasible and consistent.
{"title":"Exploring wormhole solutions supported by dark matter density profiles in f(Q,T) gravity","authors":"H. Aruna Kumara , Chaitra Chooda Chalavadi , V. Venkatesha","doi":"10.1016/j.aop.2026.170347","DOIUrl":"10.1016/j.aop.2026.170347","url":null,"abstract":"<div><div>The study investigates the possibility of wormhole solutions with dark matter profiles in the context of <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> gravity. Its primary focus is to understand how dark matter influences the formation of traversable wormholes in galactic halos. The analysis considers different dark matter models, such as Moradpour density profile and Sofue’s exponential density profile in linear <span><math><mrow><mi>f</mi><mrow><mo>(</mo><mi>Q</mi><mo>,</mo><mi>T</mi><mo>)</mo></mrow></mrow></math></span> gravity. Under this model, the density profiles generate shape functions that satisfy all essential conditions for wormhole geometries. The violation of null energy conditions observed in these cases confirms that dark matter can support the existence of wormholes within galactic halos. In addition, the analysis focuses on important features of wormholes, namely the complexity factor, anisotropy, volume integral quantifier, and their embedding diagrams. The findings suggest that solutions based on various dark-matter profiles in extended symmetric teleparallel gravity are feasible and consistent.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170347"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146037354","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}
Pub Date : 2026-04-01Epub Date: 2026-01-21DOI: 10.1016/j.aop.2026.170356
Mauro Ballicchia , Clemens Etl , Mihail Nedjalkov , David K. Ferry , Hans Kosina , Josef Weinbub
The electric interaction between two nearby evolving electrons triggers the correlation between their waves and governs the operation of logical devices called Coulomb entanglers. Of technological interest, in the presence of magnetic fields, are multi-spatial evolution scenarios beyond pure state descriptions. The two-electron density matrix becomes eight-dimensional even for two-dimensional spatial cases, and is thus computationally prohibitive. In this work, we present two new approximations of the two-electron Wigner equation that aim at computational feasibility: a BBGKY approach for reducing the number of variables and a field approximation of the Coulomb-Wigner operator. They exhibit different conceptual aspects that illustrate alternative viewpoints on entanglement: only the evolution provided by the latter model satisfies the orthodox definition of entanglement. Our analysis, based on the Fredholm integral representation of the models, allows us to develop an intuitive picture and physical insight into the process.
{"title":"Approximate Wigner approach to Coulomb entanglement","authors":"Mauro Ballicchia , Clemens Etl , Mihail Nedjalkov , David K. Ferry , Hans Kosina , Josef Weinbub","doi":"10.1016/j.aop.2026.170356","DOIUrl":"10.1016/j.aop.2026.170356","url":null,"abstract":"<div><div>The electric interaction between two nearby evolving electrons triggers the correlation between their waves and governs the operation of logical devices called Coulomb entanglers. Of technological interest, in the presence of magnetic fields, are multi-spatial evolution scenarios beyond pure state descriptions. The two-electron density matrix becomes eight-dimensional even for two-dimensional spatial cases, and is thus computationally prohibitive. In this work, we present two new approximations of the two-electron Wigner equation that aim at computational feasibility: a BBGKY approach for reducing the number of variables and a field approximation of the Coulomb-Wigner operator. They exhibit different conceptual aspects that illustrate alternative viewpoints on entanglement: only the evolution provided by the latter model satisfies the orthodox definition of entanglement. Our analysis, based on the Fredholm integral representation of the models, allows us to develop an intuitive picture and physical insight into the process.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170356"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146076001","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}
Pub Date : 2026-04-01Epub Date: 2026-01-23DOI: 10.1016/j.aop.2026.170362
Tarun Advaith Kumar , Leon Balents , Timothy H. Hsieh , Roger G. Melko
A variety of generative neural networks recently adopted from machine learning have provided promising strategies for studying quantum matter. In particular, the success of autoregressive models in natural language processing has motivated their use as variational ansätze, with the hope that their demonstrated ability to scale will transfer to simulations of quantum many-body systems. In this paper, we introduce an autoregressive framework to calculate finite-temperature properties of a quantum system based on the imaginary-time evolution of an ensemble of pure states. We find that established approaches based on minimally entangled typical thermal states (METTS) have numerical instabilities when an autoregressive recurrent neural network is used as the variational ansätz. We show that these instabilities can be mitigated by evolving the initial ensemble states with a unitary operation, along with applying a threshold to curb runaway evolution of ensemble members. By comparing our algorithm to exact results for the spin 1/2 quantum XY chain, we demonstrate that autoregressive typical thermal states are capable of accurately calculating thermal observables.
{"title":"Autoregressive typical thermal states","authors":"Tarun Advaith Kumar , Leon Balents , Timothy H. Hsieh , Roger G. Melko","doi":"10.1016/j.aop.2026.170362","DOIUrl":"10.1016/j.aop.2026.170362","url":null,"abstract":"<div><div>A variety of generative neural networks recently adopted from machine learning have provided promising strategies for studying quantum matter. In particular, the success of autoregressive models in natural language processing has motivated their use as variational ansätze, with the hope that their demonstrated ability to scale will transfer to simulations of quantum many-body systems. In this paper, we introduce an autoregressive framework to calculate finite-temperature properties of a quantum system based on the imaginary-time evolution of an ensemble of pure states. We find that established approaches based on minimally entangled typical thermal states (METTS) have numerical instabilities when an autoregressive recurrent neural network is used as the variational ansätz. We show that these instabilities can be mitigated by evolving the initial ensemble states with a unitary operation, along with applying a threshold to curb runaway evolution of ensemble members. By comparing our algorithm to exact results for the spin 1/2 quantum XY chain, we demonstrate that autoregressive typical thermal states are capable of accurately calculating thermal observables.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170362"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146076060","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}
Pub Date : 2026-04-01Epub Date: 2026-01-27DOI: 10.1016/j.aop.2026.170353
Zachary P. Bradshaw, Jeffrey J. Dale, Ethan N. Evans
We give an introduction to the theory of quantum error correction using stabilizer codes that is geared towards the working computer scientists and mathematicians with an interest in exploring this area. To this end, we begin with an introduction to basic quantum computation for the uninitiated. We then construct several examples of simple error correcting codes without reference to the underlying mathematical formalism in order to develop the readers intuition for the structure of a generic code. With this in hand, we then discuss the more general theory of stabilizer codes and provide the necessary level of mathematical detail for the non-mathematician. Finally, we give a brief look at the elegant homological algebra formulation for topological codes. As a bonus, we give implementations of the codes we mention using OpenQASM, and we address the more recent approaches to decoding using neural networks. We do not attempt to give a complete overview of the entire field, but provide the reader with the level of detail needed to continue in this direction.
{"title":"Introduction to quantum error correction with stabilizer codes","authors":"Zachary P. Bradshaw, Jeffrey J. Dale, Ethan N. Evans","doi":"10.1016/j.aop.2026.170353","DOIUrl":"10.1016/j.aop.2026.170353","url":null,"abstract":"<div><div>We give an introduction to the theory of quantum error correction using stabilizer codes that is geared towards the working computer scientists and mathematicians with an interest in exploring this area. To this end, we begin with an introduction to basic quantum computation for the uninitiated. We then construct several examples of simple error correcting codes without reference to the underlying mathematical formalism in order to develop the readers intuition for the structure of a generic code. With this in hand, we then discuss the more general theory of stabilizer codes and provide the necessary level of mathematical detail for the non-mathematician. Finally, we give a brief look at the elegant homological algebra formulation for topological codes. As a bonus, we give implementations of the codes we mention using OpenQASM, and we address the more recent approaches to decoding using neural networks. We do not attempt to give a complete overview of the entire field, but provide the reader with the level of detail needed to continue in this direction.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170353"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146076062","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}
Pub Date : 2026-04-01Epub Date: 2026-01-29DOI: 10.1016/j.aop.2026.170367
Bilal Canturk
The time evolution of the one-point probability vector of stochastic processes and quantum processes for -level systems have been unified. Hence, quantum states and quantum operations can be regarded as generalizations of the one-point probability vectors and stochastic matrices, respectively. More essentially, based on the unification, it has been proven that completely positive divisibility (CP-divisibility) for quantum operations is the natural extension of the Chapman–Kolmogorov equation. It is thus shown that CP-divisibility is a necessary but insufficient condition for a quantum process to be specified as Markovian. The main results have been illustrated through a dichotomic Markov process.
{"title":"Unification of stochastic matrices and quantum operations for N-level systems","authors":"Bilal Canturk","doi":"10.1016/j.aop.2026.170367","DOIUrl":"10.1016/j.aop.2026.170367","url":null,"abstract":"<div><div>The time evolution of the one-point probability vector of stochastic processes and quantum processes for <span><math><mi>N</mi></math></span>-level systems have been unified. Hence, quantum states and quantum operations can be regarded as generalizations of the one-point probability vectors and stochastic matrices, respectively. More essentially, based on the unification, it has been proven that completely positive divisibility (CP-divisibility) for quantum operations is the natural extension of the Chapman–Kolmogorov equation. It is thus shown that CP-divisibility is a necessary but insufficient condition for a quantum process to be specified as Markovian. The main results have been illustrated through a dichotomic Markov process.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170367"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146076059","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}
Pub Date : 2026-04-01Epub Date: 2026-01-21DOI: 10.1016/j.aop.2026.170355
Simon Friederich, Mritunjay Tyagi
The Kochen–Specker theorem shows that it is impossible to assign sharp values to all dynamical variables in quantum mechanics in such a way that the algebraic relations among the values of dynamical variables whose self-adjoint operators commute are the same as those among the operators themselves. We point out that, for quantum theories obtained by quantizing some classical theory, this condition –Kochen–Specker non-contextuality – is implausible from the start because quantization usually changes algebraic relations. We explain why this is so, using the formalism of deformation quantization and its conception of star products, and we illustrate the relevance of this point using various examples of dynamical variables quantized via Weyl quantization and coherent state quantization. Our observations suggest that the relevance of the Kochen–Specker theorem to the question of whether one can assign sharp values to all dynamical variables is rather limited.
{"title":"Kochen–Specker non-contextuality through the lens of quantization","authors":"Simon Friederich, Mritunjay Tyagi","doi":"10.1016/j.aop.2026.170355","DOIUrl":"10.1016/j.aop.2026.170355","url":null,"abstract":"<div><div>The Kochen–Specker theorem shows that it is impossible to assign sharp values to all dynamical variables in quantum mechanics in such a way that the algebraic relations among the values of dynamical variables whose self-adjoint operators commute are the same as those among the operators themselves. We point out that, for quantum theories obtained by <em>quantizing</em> some classical theory, this condition –<em>Kochen–Specker non-contextuality</em> – is implausible from the start because quantization usually changes algebraic relations. We explain why this is so, using the formalism of deformation quantization and its conception of <em>star products</em>, and we illustrate the relevance of this point using various examples of dynamical variables quantized via Weyl quantization and coherent state quantization. Our observations suggest that the relevance of the Kochen–Specker theorem to the question of whether one can assign sharp values to all dynamical variables is rather limited.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170355"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025671","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}
The Abelian super Stueckelberg model (ASSM) in the Wess–Zumino (WZ) gauge is revisited, and the actual set of supersymmetric (SUSY) transformation is derived. In particular, we verified that the SUSY transformation of the super Stueckelberg sector compensates the gauge fixing condition imposed on the vector superfield, leading to a mix between the field components of both sectors. We also discuss the possibility to construct an extension of the ASSM with infinite self interacting terms
{"title":"Revisiting the Abelian N=1 super Stueckelberg model","authors":"M.A.L. Capri , D.R. Granado , I.F. Justo , L.S.S. Mendes","doi":"10.1016/j.aop.2026.170354","DOIUrl":"10.1016/j.aop.2026.170354","url":null,"abstract":"<div><div>The Abelian super Stueckelberg model (ASSM) in the Wess–Zumino (WZ) gauge is revisited, and the actual set of supersymmetric (SUSY) transformation is derived. In particular, we verified that the SUSY transformation of the super Stueckelberg sector compensates the gauge fixing condition imposed on the vector superfield, leading to a mix between the field components of both sectors. We also discuss the possibility to construct an extension of the ASSM with infinite self interacting terms</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170354"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146037353","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}
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