Dimensionless Physics

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorVolovik, G. E.en_US
dc.contributor.departmentDepartment of Applied Physicsen
dc.contributor.groupauthorTopological Quantum Fluidsen
dc.date.accessioned2021-07-01T13:07:24Z
dc.date.available2021-07-01T13:07:24Z
dc.date.issued2021-04en_US
dc.description| openaire: EC/H2020/694248/EU//TOPVAC
dc.description.abstractWe discuss two scenarios of emergent gravity. In one of them the quantum vacuum is considered as superplastic crystal, and the effective gravity describes the dynamical elastic deformations of this crystal. In the other one the gravitational tetrads emerge as the bilinear form of the fermionic fields. In spite of the essentially different mechanisms of emergent gravity, these two scenarios have one important common property: the metric field has dimension of the inverse square of length [gμν] = 1/[l]2, as distinct from the conventional dimensionless metric, [gμν] = 1, in general relativity. As a result the physical quantities, which obey diffeomorphism invariance, become dimensionless. This takes place for such quantities as Newton constant, the scalar curvature, the cosmological constant, particle masses, fermionic and scalar bosonic fields, etc. This may suggest that the dimensionless physics can be the natural consequence of the diffeomorphism invariance, and thus can be the general property of any gravity, which emerges in the quantum vacuum. One of the nontrivial consequences of the shift of dimensions is related to topology. Due to the shift of dimensions some operators become topological, and contain the integer or fractional prefactors in the action. This in particular concerns the intrinsic 3+1 quantum Hall effect and the Nieh–Yan quantum anomaly in terms of torsion.en
dc.description.versionPeer revieweden
dc.format.extent7
dc.format.extent727-733
dc.identifier.citationVolovik, G E 2021, ' Dimensionless Physics ', Journal of Experimental and Theoretical Physics, vol. 132, no. 4, pp. 727-733 . https://doi.org/10.1134/S106377612104021Xen
dc.identifier.doi10.1134/S106377612104021Xen_US
dc.identifier.issn1063-7761
dc.identifier.otherPURE UUID: 77178ab6-f89a-41c2-bea7-d8ecfb494a3den_US
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/77178ab6-f89a-41c2-bea7-d8ecfb494a3den_US
dc.identifier.otherPURE LINK: http://www.scopus.com/inward/record.url?scp=85107022747&partnerID=8YFLogxKen_US
dc.identifier.otherPURE LINK: https://arxiv.org/abs/2006.16821en_US
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/108611
dc.identifier.urnURN:NBN:fi:aalto-202107017865
dc.language.isoenen
dc.publisherMaik Nauka-Interperiodica Publishing
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/694248/EU//TOPVACen_US
dc.relation.ispartofseriesJournal of Experimental and Theoretical Physicsen
dc.relation.ispartofseriesVolume 132, issue 4en
dc.rightsopenAccessen
dc.titleDimensionless Physicsen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi

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