{"title":"普朗克子是量子虫洞的入口和时空的全息起源","authors":"Ignazio Licata , Fabrizio Tamburini , Davide Fiscaletti","doi":"10.1016/j.aop.2025.170248","DOIUrl":null,"url":null,"abstract":"<div><div>We argue that Planck-scale fluctuations “planckeons” realize a network of non-traversable Einstein–Rosen bridges and act as holographic devices. Modeling planckeons as wormhole mouths on extremal (RT) surfaces ties spacetime connectivity directly to entanglement. Using the Ryu–Takayanagi framework, we derive an entanglement entropy that governs the thermodynamics of the planckeon ensemble. The resulting partition function exhibits a high-temperature logarithmic entropy consistent with holographic scaling, while at low temperature the network freezes into a sparse remnant-like phase. A characteristic temperature <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> (set by the planckeon gap) separates these regimes; in the noninteracting edge-mode description this marks a <em>crossover</em> (and becomes a genuine phase transition once interactions/pairing are included). Embedding a minimal length in the wormhole throat yields a quantum-corrected Bekenstein entropy in which the area term is supplemented by edge-mode contributions, thereby linking wormhole geometry with quantum-information flow and suggesting a holographic origin of spacetime and black-hole microstructure.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"483 ","pages":"Article 170248"},"PeriodicalIF":3.0000,"publicationDate":"2025-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Planckeons as mouths of quantum wormholes and holographic origin of spacetime\",\"authors\":\"Ignazio Licata , Fabrizio Tamburini , Davide Fiscaletti\",\"doi\":\"10.1016/j.aop.2025.170248\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We argue that Planck-scale fluctuations “planckeons” realize a network of non-traversable Einstein–Rosen bridges and act as holographic devices. Modeling planckeons as wormhole mouths on extremal (RT) surfaces ties spacetime connectivity directly to entanglement. Using the Ryu–Takayanagi framework, we derive an entanglement entropy that governs the thermodynamics of the planckeon ensemble. The resulting partition function exhibits a high-temperature logarithmic entropy consistent with holographic scaling, while at low temperature the network freezes into a sparse remnant-like phase. A characteristic temperature <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> (set by the planckeon gap) separates these regimes; in the noninteracting edge-mode description this marks a <em>crossover</em> (and becomes a genuine phase transition once interactions/pairing are included). Embedding a minimal length in the wormhole throat yields a quantum-corrected Bekenstein entropy in which the area term is supplemented by edge-mode contributions, thereby linking wormhole geometry with quantum-information flow and suggesting a holographic origin of spacetime and black-hole microstructure.</div></div>\",\"PeriodicalId\":8249,\"journal\":{\"name\":\"Annals of Physics\",\"volume\":\"483 \",\"pages\":\"Article 170248\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2025-10-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0003491625003306\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491625003306","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Planckeons as mouths of quantum wormholes and holographic origin of spacetime
We argue that Planck-scale fluctuations “planckeons” realize a network of non-traversable Einstein–Rosen bridges and act as holographic devices. Modeling planckeons as wormhole mouths on extremal (RT) surfaces ties spacetime connectivity directly to entanglement. Using the Ryu–Takayanagi framework, we derive an entanglement entropy that governs the thermodynamics of the planckeon ensemble. The resulting partition function exhibits a high-temperature logarithmic entropy consistent with holographic scaling, while at low temperature the network freezes into a sparse remnant-like phase. A characteristic temperature (set by the planckeon gap) separates these regimes; in the noninteracting edge-mode description this marks a crossover (and becomes a genuine phase transition once interactions/pairing are included). Embedding a minimal length in the wormhole throat yields a quantum-corrected Bekenstein entropy in which the area term is supplemented by edge-mode contributions, thereby linking wormhole geometry with quantum-information flow and suggesting a holographic origin of spacetime and black-hole microstructure.
期刊介绍:
Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance.
The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.