Matches in SemOpenAlex for { <https://semopenalex.org/work/W3103180204> ?p ?o ?g. }
- W3103180204 endingPage "135014" @default.
- W3103180204 startingPage "135014" @default.
- W3103180204 abstract "The spectral dimension is an indicator of geometry and topology of spacetime and a tool to compare the description of quantum geometry in various approaches to quantum gravity. This is possible because it can be defined not only on smooth geometries but also on discrete (e.g., simplicial) ones. In this paper, we consider the spectral dimension of quantum states of spatial geometry defined on combinatorial complexes endowed with additional algebraic data: the kinematical quantum states of loop quantum gravity (LQG). Preliminarily, the effects of topology and discreteness of classical discrete geometries are studied in a systematic manner. We look for states reproducing the spectral dimension of a classical space in the appropriate regime. We also test the hypothesis that in LQG, as in other approaches, there is a scale dependence of the spectral dimension, which runs from the topological dimension at large scales to a smaller one at short distances. While our results do not give any strong support to this hypothesis, we can however pinpoint when the topological dimension is reproduced by LQG quantum states. Overall, by exploring the interplay of combinatorial, topological and geometrical effects, and by considering various kinds of quantum states such as coherent states and their superpositions, we find that the spectral dimension of discrete quantum geometries is more sensitive to the underlying combinatorial structures than to the details of the additional data associated with them." @default.
- W3103180204 created "2020-11-23" @default.
- W3103180204 creator A5024318610 @default.
- W3103180204 creator A5033202388 @default.
- W3103180204 creator A5043105038 @default.
- W3103180204 date "2014-06-17" @default.
- W3103180204 modified "2023-10-18" @default.
- W3103180204 title "Spectral dimension of quantum geometries" @default.
- W3103180204 cites W1533471520 @default.
- W3103180204 cites W1592877175 @default.
- W3103180204 cites W1595187772 @default.
- W3103180204 cites W164292467 @default.
- W3103180204 cites W1870256614 @default.
- W3103180204 cites W1947273351 @default.
- W3103180204 cites W1965001977 @default.
- W3103180204 cites W1972006430 @default.
- W3103180204 cites W1980110343 @default.
- W3103180204 cites W1980159928 @default.
- W3103180204 cites W1986580109 @default.
- W3103180204 cites W1986939843 @default.
- W3103180204 cites W2000845870 @default.
- W3103180204 cites W2019238454 @default.
- W3103180204 cites W2033345656 @default.
- W3103180204 cites W2033548979 @default.
- W3103180204 cites W2037468948 @default.
- W3103180204 cites W2053801968 @default.
- W3103180204 cites W2057755196 @default.
- W3103180204 cites W2064658391 @default.
- W3103180204 cites W2078381478 @default.
- W3103180204 cites W2089292028 @default.
- W3103180204 cites W2092301326 @default.
- W3103180204 cites W2098581578 @default.
- W3103180204 cites W2134583661 @default.
- W3103180204 cites W2142779646 @default.
- W3103180204 cites W2149052153 @default.
- W3103180204 cites W2151994553 @default.
- W3103180204 cites W2164827313 @default.
- W3103180204 cites W2167377764 @default.
- W3103180204 cites W3098386374 @default.
- W3103180204 cites W3101017700 @default.
- W3103180204 cites W3101105322 @default.
- W3103180204 cites W3101631370 @default.
- W3103180204 cites W3101718537 @default.
- W3103180204 cites W3104871105 @default.
- W3103180204 cites W3105228339 @default.
- W3103180204 cites W3105552132 @default.
- W3103180204 cites W3106024890 @default.
- W3103180204 cites W3123311204 @default.
- W3103180204 cites W4233500204 @default.
- W3103180204 doi "https://doi.org/10.1088/0264-9381/31/13/135014" @default.
- W3103180204 hasPublicationYear "2014" @default.
- W3103180204 type Work @default.
- W3103180204 sameAs 3103180204 @default.
- W3103180204 citedByCount "34" @default.
- W3103180204 countsByYear W31031802042015 @default.
- W3103180204 countsByYear W31031802042016 @default.
- W3103180204 countsByYear W31031802042017 @default.
- W3103180204 countsByYear W31031802042018 @default.
- W3103180204 countsByYear W31031802042019 @default.
- W3103180204 countsByYear W31031802042021 @default.
- W3103180204 countsByYear W31031802042023 @default.
- W3103180204 crossrefType "journal-article" @default.
- W3103180204 hasAuthorship W3103180204A5024318610 @default.
- W3103180204 hasAuthorship W3103180204A5033202388 @default.
- W3103180204 hasAuthorship W3103180204A5043105038 @default.
- W3103180204 hasBestOaLocation W31031802042 @default.
- W3103180204 hasConcept C108568745 @default.
- W3103180204 hasConcept C114614502 @default.
- W3103180204 hasConcept C121332964 @default.
- W3103180204 hasConcept C126255220 @default.
- W3103180204 hasConcept C15706264 @default.
- W3103180204 hasConcept C184720557 @default.
- W3103180204 hasConcept C190474826 @default.
- W3103180204 hasConcept C202444582 @default.
- W3103180204 hasConcept C204495892 @default.
- W3103180204 hasConcept C2524010 @default.
- W3103180204 hasConcept C33332235 @default.
- W3103180204 hasConcept C33676613 @default.
- W3103180204 hasConcept C33923547 @default.
- W3103180204 hasConcept C43682372 @default.
- W3103180204 hasConcept C53250935 @default.
- W3103180204 hasConcept C58801389 @default.
- W3103180204 hasConcept C62520636 @default.
- W3103180204 hasConcept C84114770 @default.
- W3103180204 hasConcept C91575142 @default.
- W3103180204 hasConceptScore W3103180204C108568745 @default.
- W3103180204 hasConceptScore W3103180204C114614502 @default.
- W3103180204 hasConceptScore W3103180204C121332964 @default.
- W3103180204 hasConceptScore W3103180204C126255220 @default.
- W3103180204 hasConceptScore W3103180204C15706264 @default.
- W3103180204 hasConceptScore W3103180204C184720557 @default.
- W3103180204 hasConceptScore W3103180204C190474826 @default.
- W3103180204 hasConceptScore W3103180204C202444582 @default.
- W3103180204 hasConceptScore W3103180204C204495892 @default.
- W3103180204 hasConceptScore W3103180204C2524010 @default.
- W3103180204 hasConceptScore W3103180204C33332235 @default.
- W3103180204 hasConceptScore W3103180204C33676613 @default.
- W3103180204 hasConceptScore W3103180204C33923547 @default.