Laurentiu Bubuianu, Douglas Singleton, S. Vacaru, E. V. Veliev
This article consists of an introduction to the theory of nonassociative geometric classical and quantum information flows defined by star products with R‐flux deformations in string gravity. Corresponding nonassociative generalizations of the concepts of classical Shannon entropy, quantum von Neumann entropy, Rényi entropy are formulated. The fundamental geometric and quantum information objects are computed following the Grigori Perelman statistical thermodynamic approach to Ricci flows and gravity theories generalized for phase spaces modeled as (co) tangent Lorentz bundles. Nonassociative parametric deformations and nonholonomic thermo‐geometric versions of statistical generating functions, their quantum analogues as density matrices are considered for deriving the entropy, energy and fluctuation functionals. This allows us to define and compute respective classical and quantum relative and conditional entropies, mutual information and nonassociative entanglement and thermodynamic information variables. The principles of nonassociative quantum geometric and information flow theory, QGIF, and study the basic properties of such quasi‐stationary models related to modified gravity theories are formulated. Applications are considered for nonassociative deformed and entangled couples of four‐dimensional (4‐d), wormholes (defined by respective spacetime and/or momentum type coordinates) and nonassociative QGIFs of 8‐d phase space generalized wormholes configurations. Finally, phase space black holes and wormholes being transversable for nonassociative qubits, quantum channels and entanglement witness are speculated; thought and laboratory experiments are discussed; and perspectives for quantum computer modeling and tests of nonassociative geometric flow and gravity theories are considered.
本文介绍了由弦引力中 R 流变形的星积定义的非关联几何经典和量子信息流理论。对经典香农熵、量子冯-诺伊曼熵和雷尼熵的概念进行了相应的非关联概括。按照格里高利-佩雷尔曼统计热力学方法，计算了里奇流和引力理论的基本几何和量子信息对象，并将相空间模型化为（共）切洛伦兹束。在推导熵、能量和波动函数时，考虑了统计生成函数的非关联参数变形和非整体热几何版本，以及它们作为密度矩阵的量子类似物。这样，我们就能定义和计算各自的经典和量子相对熵和条件熵、互信息和非关联纠缠以及热力学信息变量。我们提出了非关联量子几何和信息流理论（QGIF）的原理，并研究了与修正引力理论相关的此类准稳态模型的基本特性。研究还考虑了四维（4-d）虫洞（由各自的时空和/或动量类型坐标定义）的非关联变形和纠缠耦合以及 8-d 相空间广义虫洞配置的非关联 QGIFs 的应用。最后，推测了相空间黑洞和虫洞对非关联量子比特、量子通道和纠缠见证的可穿越性；讨论了思想和实验室实验；并考虑了量子计算机建模和非关联几何流和引力理论测试的前景。
{"title":"Nonassociative Geometric and Quantum Information Flows and R‐Flux Deformations of Wormhole Solutions in String Gravity","authors":"Laurentiu Bubuianu, Douglas Singleton, S. Vacaru, E. V. Veliev","doi":"10.1002/prop.202300212","DOIUrl":"https://doi.org/10.1002/prop.202300212","url":null,"abstract":"This article consists of an introduction to the theory of nonassociative geometric classical and quantum information flows defined by star products with R‐flux deformations in string gravity. Corresponding nonassociative generalizations of the concepts of classical Shannon entropy, quantum von Neumann entropy, Rényi entropy are formulated. The fundamental geometric and quantum information objects are computed following the Grigori Perelman statistical thermodynamic approach to Ricci flows and gravity theories generalized for phase spaces modeled as (co) tangent Lorentz bundles. Nonassociative parametric deformations and nonholonomic thermo‐geometric versions of statistical generating functions, their quantum analogues as density matrices are considered for deriving the entropy, energy and fluctuation functionals. This allows us to define and compute respective classical and quantum relative and conditional entropies, mutual information and nonassociative entanglement and thermodynamic information variables. The principles of nonassociative quantum geometric and information flow theory, QGIF, and study the basic properties of such quasi‐stationary models related to modified gravity theories are formulated. Applications are considered for nonassociative deformed and entangled couples of four‐dimensional (4‐d), wormholes (defined by respective spacetime and/or momentum type coordinates) and nonassociative QGIFs of 8‐d phase space generalized wormholes configurations. Finally, phase space black holes and wormholes being transversable for nonassociative qubits, quantum channels and entanglement witness are speculated; thought and laboratory experiments are discussed; and perspectives for quantum computer modeling and tests of nonassociative geometric flow and gravity theories are considered.","PeriodicalId":12381,"journal":{"name":"Fortschritte der Physik","volume":"111 42","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139785981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The main objective of this paper is to investigate the impact of gravity on the geometry of anisotropic compact stellar objects, where is non‐metricity and is the trace of the energy‐momentum tensor. In this perspective, the physically viable non‐singular solutions to examine the configuration of static spherically symmetric structures is used. A specific model of this theory to examine various physical quantities in the interior of the proposed compact stars (CSs) is considered. These quantities include fluid parameters, anisotropy, energy constraints, equation of state parameters, mass, compactness, and redshift. The Tolman–Oppenheimer–Volkoff equation is used to examine the equilibrium state of stellar models, while the stability of the proposed CSs is investigated through sound speed and adiabatic index methods. It is found that the proposed CSs are viable and stable in the context of this theory.
{"title":"Viable and Stable Compact Stellar Structures in f(Q,T)$f(mathcal {Q},mathcal {T})$ Theory","authors":"M. Z. Gul, M. Sharif, Adeeba Arooj","doi":"10.1002/prop.202300221","DOIUrl":"https://doi.org/10.1002/prop.202300221","url":null,"abstract":"The main objective of this paper is to investigate the impact of gravity on the geometry of anisotropic compact stellar objects, where is non‐metricity and is the trace of the energy‐momentum tensor. In this perspective, the physically viable non‐singular solutions to examine the configuration of static spherically symmetric structures is used. A specific model of this theory to examine various physical quantities in the interior of the proposed compact stars (CSs) is considered. These quantities include fluid parameters, anisotropy, energy constraints, equation of state parameters, mass, compactness, and redshift. The Tolman–Oppenheimer–Volkoff equation is used to examine the equilibrium state of stellar models, while the stability of the proposed CSs is investigated through sound speed and adiabatic index methods. It is found that the proposed CSs are viable and stable in the context of this theory.","PeriodicalId":12381,"journal":{"name":"Fortschritte der Physik","volume":"140 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139845546","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper we review and discuss several aspects of supertranslations and their associated algebras at the horizon of a Schwarzschild black hole. We will compare two different approaches on horizon supertranslations, which were recently considered in separate publications. Furthermore we describe a possible holographic description of a Schwarzschild black hole in terms of a large N boundary theory, which accommodates the Goldstone bosons of the horizon supertranslations.
{"title":"Supertranslations and Holography near the Horizon of Schwarzschild Black Holes","authors":"D. Lüst","doi":"10.1002/prop.201800001","DOIUrl":"https://doi.org/10.1002/prop.201800001","url":null,"abstract":"In this paper we review and discuss several aspects of supertranslations and their associated algebras at the horizon of a Schwarzschild black hole. We will compare two different approaches on horizon supertranslations, which were recently considered in separate publications. Furthermore we describe a possible holographic description of a Schwarzschild black hole in terms of a large N boundary theory, which accommodates the Goldstone bosons of the horizon supertranslations.","PeriodicalId":12381,"journal":{"name":"Fortschritte der Physik","volume":"225 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2017-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90650878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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