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Implications of generalized Compton wavelength in the effects of general relativity 广义康普顿波长在广义相对论效应中的含义
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020096
D. Fiscaletti
{"title":"Implications of generalized Compton wavelength in the effects of general relativity","authors":"D. Fiscaletti","doi":"10.1134/S0040577925020096","DOIUrl":"10.1134/S0040577925020096","url":null,"abstract":"<p> A model of a dynamical three-dimensional quantum vacuum based on energy fluctuations of a granular space is considered as the keystone able to provide a unifying rereading of microphysics and macrophysics. By starting from a generalized version of uncertainty relations, a generalized Compton wavelength is defined that provides a unifying treatment of elementary particles and black holes. A quantum-modified Schwarzschild metric associated with the generalized Compton wavelength of the vacuum is introduced and its perspectives in providing a new rereading of the standard general relativistic predictions for light deflection, perihelion precession, and gravitational redshift are explored. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 2","pages":"332 - 355"},"PeriodicalIF":1.0,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Interrelations between dualities in classical integrable systems and a classical–classical version of the quantum–classical duality 经典可积系统对偶之间的相互关系和量子经典对偶的经典-经典版本
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020059
R. A. Potapov, A. V. Zotov
{"title":"Interrelations between dualities in classical integrable systems and a classical–classical version of the quantum–classical duality","authors":"R. A. Potapov,&nbsp;A. V. Zotov","doi":"10.1134/S0040577925020059","DOIUrl":"10.1134/S0040577925020059","url":null,"abstract":"<p> We describe the Ruijsenaars action–angle duality in classical many-body integrable systems through the spectral duality transformation relating the classical spin chains and Gaudin models. For this purpose, the Lax matrices of many-body systems are represented in the multi-pole (Gaudin-like) form by introducing a fictitious spectral parameter. This form of Lax matrices is also interpreted as a classical–classical version of the quantum–classical duality. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 2","pages":"252 - 275"},"PeriodicalIF":1.0,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Erratum to: Khoroshkin–Tolstoy approach to quantum superalgebras 对量子超代数的Khoroshkin-Tolstoy方法的勘误
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-02-25 DOI: 10.1134/S0040577925020102
A. V. Razumov
{"title":"Erratum to: Khoroshkin–Tolstoy approach to quantum superalgebras","authors":"A. V. Razumov","doi":"10.1134/S0040577925020102","DOIUrl":"10.1134/S0040577925020102","url":null,"abstract":"","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 2","pages":"356 - 356"},"PeriodicalIF":1.0,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143489577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Nonlocal symmetries of the Degasperis–Procesi equation Degasperis-Procesi方程的非局部对称性
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-01-27 DOI: 10.1134/S0040577925010088
Xiaoyong Li, Changzheng Qu
{"title":"Nonlocal symmetries of the Degasperis–Procesi equation","authors":"Xiaoyong Li,&nbsp;Changzheng Qu","doi":"10.1134/S0040577925010088","DOIUrl":"10.1134/S0040577925010088","url":null,"abstract":"<p> We study nonlocal symmetries of the Degasperis–Procesi equation, which are shown to be closely related to its integrable structure. First, applying the Hamiltonian operator to the gradients of the spectral parameter, we construct nonlocal symmetries of the Kaup–Kupershmidt equation. Next, we show that the nonlocal symmetries can be prolonged to local symmetries for a prolonged system by introducing new dependent variables. Finally, applying the Liouville transformation relating the Degasperis–Procesi and Kaup–Kupershmidt hierarchies, we obtain the corresponding nonlocal symmetries of the Degasperis–Procesi equation. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 1","pages":"106 - 118"},"PeriodicalIF":1.0,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109774","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Classification of semidiscrete equations of hyperbolic type. The case of fifth-order symmetries 双曲型半离散方程的分类。五阶对称的情况
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-01-27 DOI: 10.1134/S0040577925010027
R. N. Garifullin
{"title":"Classification of semidiscrete equations of hyperbolic type. The case of fifth-order symmetries","authors":"R. N. Garifullin","doi":"10.1134/S0040577925010027","DOIUrl":"10.1134/S0040577925010027","url":null,"abstract":"<p> We classify the semidiscrete hyperbolic-type equations. We study the class of equations of the form </p><p> where the unknown function <span>(u_n(x))</span> depends on one discrete variable <span>(n)</span> and one continuous variable <span>(x)</span>. The classification is based on the requirement of the existence of higher symmetries. We consider the case where the symmetry has the fifth order in the continuous direction. As a result, we obtain a list of four equations with the required conditions, for each of which the higher symmetry in the discrete direction is written. For one of the obtained equations, we construct a Lax representation. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 1","pages":"10 - 19"},"PeriodicalIF":1.0,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Algebro-geometric quasiperiodic solutions of the nonlocal reverse space–time sine-Gordon equation 非局部逆时空正弦-戈登方程的代数-几何拟周期解
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-01-27 DOI: 10.1134/S0040577925010064
Liang Guan, Xianguo Geng, Xue Geng
{"title":"Algebro-geometric quasiperiodic solutions of the nonlocal reverse space–time sine-Gordon equation","authors":"Liang Guan,&nbsp;Xianguo Geng,&nbsp;Xue Geng","doi":"10.1134/S0040577925010064","DOIUrl":"10.1134/S0040577925010064","url":null,"abstract":"<p> Based on the theory of hyperelliptic curves, the algebraic curve method is extended to construct algebro-geometric quasiperiodic solutions of nonlocal reverse space–time soliton equations. The nonlocal reverse space–time sine-Gordon equation is chosen as an example to illustrate our method. Given the Lax matrix of the nonlocal reverse space–time sine-Gordon equation, we introduce an algebraic hyperelliptic curve <span>(mathcal K_n)</span> of genus <span>(n)</span>, from which the Dubrovin-type equations, a meromorphic function <span>(phi)</span>, and a Baker–Akhiezer function <span>(psi_{1})</span> are found. Using the theory of algebraic curves, the nonlocal reverse space–time sine-Gordon flows are straightened by using the Abel–Jacobi coordinates. In accordance with the asymptotic properties of the Baker–Akhiezer function, we construct explicit theta-function representations of the Baker–Akhiezer function and the meromorphic function, including that for solutions of the nonlocal reverse space–time sine-Gordon equation. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 1","pages":"69 - 84"},"PeriodicalIF":1.0,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Finite entangling regions and information paradox in charged black holes 带电黑洞中的有限纠缠区域与信息悖论
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-01-27 DOI: 10.1134/S004057792501012X
A. I. Belokon
{"title":"Finite entangling regions and information paradox in charged black holes","authors":"A. I. Belokon","doi":"10.1134/S004057792501012X","DOIUrl":"10.1134/S004057792501012X","url":null,"abstract":"<p> We study the influence of the electric charge of a Reissner–Nordström black hole on the dynamics of the fine-grained entropy of Hawking radiation collected in finite entangling regions. We demonstrate that for certain sizes of finite regions, it is always possible to choose a value of the charge such that no information paradox formulated for finite entangling regions arises. For completeness, we explore how entanglement islands influence the described picture. We find that at small values of the electric charge, there is a discontinuity in the entropy due to the disappearance of the island, and as the charge increases, the island ceases to ever dominate throughout entire evolution. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 1","pages":"154 - 169"},"PeriodicalIF":1.0,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Fermionic fields in a four-dimensional (Lambda) Bonnor–Melvin space–time 四维(Lambda)波诺-梅尔文时空中的费米子场
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-01-27 DOI: 10.1134/S0040577925010131
F. Ahmed, N. Candemir, A. Bouzenada
{"title":"Fermionic fields in a four-dimensional (Lambda) Bonnor–Melvin space–time","authors":"F. Ahmed,&nbsp;N. Candemir,&nbsp;A. Bouzenada","doi":"10.1134/S0040577925010131","DOIUrl":"10.1134/S0040577925010131","url":null,"abstract":"<p> We investigate how the gravitational field generated by a four-dimensional electrovacuum cosmological space–time influences the dynamics of fermionic fields governed by the Dirac equation, while also considering the effects of topology. We derive the radial wave equation corresponding to the relativistic Dirac equation and obtain analytical solutions for the energy levels and wave functions of the fermionic field within our framework. Our analysis reveals that various parameters, including the cosmological constant, the parameter responsible for space topology, and quantum numbers, play significant roles in determining the eigenvalues of the quantum particles. Specifically, we demonstrate that the presence of the topological parameter disrupts the degeneracy of the energy spectrum. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 1","pages":"170 - 182"},"PeriodicalIF":1.0,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Rogue waves of the ((2+1))-dimensional integrable reverse space–time nonlocal Schrödinger equation ((2+1))维可积逆时空非局域Schrödinger方程的异常波
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-01-27 DOI: 10.1134/S0040577925010040
Yindi Liu, Zhonglong Zhao
{"title":"Rogue waves of the ((2+1))-dimensional integrable reverse space–time nonlocal Schrödinger equation","authors":"Yindi Liu,&nbsp;Zhonglong Zhao","doi":"10.1134/S0040577925010040","DOIUrl":"10.1134/S0040577925010040","url":null,"abstract":"<p> The <span>((2+1))</span>-dimensional integrable reverse space–time nonlocal Schrödinger equation is investigated. It has many applications in fluid mechanics, quantum mechanics and plasma physics. The one-periodic wave solution and two kinds of two-periodic wave solutions are obtained via the bilinear method. Taking a long-wave limit of the periodic wave solutions generates two types of rogue waves, which are called kink-shaped and W-shaped line rogue waves. We also employ the asymptotic analysis to interpret the dynamical properties of the kink-shaped rogue wave. The higher-order rogue waves are generated by the interaction of the above two types of rogue waves. Their plots exhibit interesting patterns with several different outlines. Furthermore, the semirational solutions are obtained, which arise from the interactions between rogue waves and the periodic line wave. They can be divided into two types: those that interact and return to the periodic wave background and those that interact and return to the constant background. We extend our analysis method to analyze more complex solutions for multidimensional nonlocal integrable systems. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 1","pages":"34 - 52"},"PeriodicalIF":1.0,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Asymptotic integrability of nonlinear wave equations and the semiclassical limit of Lax pairs 非线性波动方程的渐近可积性及Lax对的半经典极限
IF 1 4区 物理与天体物理
Theoretical and Mathematical Physics Pub Date : 2025-01-27 DOI: 10.1134/S0040577925010015
A. M. Kamchatnov
{"title":"Asymptotic integrability of nonlinear wave equations and the semiclassical limit of Lax pairs","authors":"A. M. Kamchatnov","doi":"10.1134/S0040577925010015","DOIUrl":"10.1134/S0040577925010015","url":null,"abstract":"<p> We introduce the concept of asymptotic integrability of nonlinear wave equations, which means the integrability of Hamilton equations describing the propagation of a high-frequency wave packet along a smooth profile whose dynamics obeys the dispersionless limit of the original equations. We show that this limit case of complete integrability allows expressing the semiclassical limit of Lax pairs in terms of the dispersion law for linear waves and an integral of the Hamilton equations for the packet. If the Lax pair does not depend on derivatives of the wave variables, then the semiclassical limit coincides with the exact expressions. We illustrate the theory with specific examples. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"222 1","pages":"1 - 9"},"PeriodicalIF":1.0,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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