分数阶反德西特量子引力中布朗-库恰夫尘的分数熵

IF 3.6 3区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

Classical and Quantum Gravity Pub Date : 2025-03-06 DOI:10.1088/1361-6382/adb899

P F da Silva Júnior, S Jalalzadeh and H Moradpour

{"title":"分数阶反德西特量子引力中布朗-库恰夫尘的分数熵","authors":"P F da Silva Júnior, S Jalalzadeh and H Moradpour","doi":"10.1088/1361-6382/adb899","DOIUrl":null,"url":null,"abstract":"This study derives the mass spectrum and entropy of the Brown–Kuchař dust in anti-de Sitter (AdS) spacetime using the fractional Wheeler–DeWitt (WDW) equation. The generalized fractional WDW equation is formulated using a fractional quantization map, demonstrating a correlation between the fractal mass dimension of the Brown–Kuchař dust and Lévy’s fractional parameter α of the Riesz fractional quantum operator. These findings may provide new insights into the ramifications of the fractal behavior of cosmic structures in quantum cosmology and quantum gravity.","PeriodicalId":10282,"journal":{"name":"Classical and Quantum Gravity","volume":"4 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fractional entropy of the Brown–Kuchař dust in fractional anti-de Sitter quantum gravity\",\"authors\":\"P F da Silva Júnior, S Jalalzadeh and H Moradpour\",\"doi\":\"10.1088/1361-6382/adb899\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study derives the mass spectrum and entropy of the Brown–Kuchař dust in anti-de Sitter (AdS) spacetime using the fractional Wheeler–DeWitt (WDW) equation. The generalized fractional WDW equation is formulated using a fractional quantization map, demonstrating a correlation between the fractal mass dimension of the Brown–Kuchař dust and Lévy’s fractional parameter α of the Riesz fractional quantum operator. These findings may provide new insights into the ramifications of the fractal behavior of cosmic structures in quantum cosmology and quantum gravity.\",\"PeriodicalId\":10282,\"journal\":{\"name\":\"Classical and Quantum Gravity\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2025-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Classical and Quantum Gravity\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/1361-6382/adb899\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ASTRONOMY & ASTROPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Classical and Quantum Gravity","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1361-6382/adb899","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}

引用次数: 0

摘要

本文利用分数阶Wheeler-DeWitt （WDW）方程推导了反德西特（AdS）时空中brown - kuchav尘埃的质谱和熵。利用分数量化映射建立了广义分数阶WDW方程，证明了brown - kuchhav尘埃的分形质量维数与Riesz分数阶量子算子的lsamvy分数参数α之间的相关性。这些发现可能为量子宇宙学和量子引力中宇宙结构的分形行为的分支提供新的见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Fractional entropy of the Brown–Kuchař dust in fractional anti-de Sitter quantum gravity

This study derives the mass spectrum and entropy of the Brown–Kuchař dust in anti-de Sitter (AdS) spacetime using the fractional Wheeler–DeWitt (WDW) equation. The generalized fractional WDW equation is formulated using a fractional quantization map, demonstrating a correlation between the fractal mass dimension of the Brown–Kuchař dust and Lévy’s fractional parameter α of the Riesz fractional quantum operator. These findings may provide new insights into the ramifications of the fractal behavior of cosmic structures in quantum cosmology and quantum gravity.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Classical and Quantum Gravity 物理-天文与天体物理

CiteScore

7.00

自引率

8.60%

发文量

301

审稿时长

2-4 weeks

期刊介绍： Classical and Quantum Gravity is an established journal for physicists, mathematicians and cosmologists in the fields of gravitation and the theory of spacetime. The journal is now the acknowledged world leader in classical relativity and all areas of quantum gravity.