{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T15:10:31Z","timestamp":1649085031200},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"08","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Geom. Methods Mod. Phys."],"published-print":{"date-parts":[[2015,9]]},"abstract":"<jats:p> In this paper, we present some of the concepts underlying a program of non-commutative quantum gravity and recall some of the results. This program includes a novel approach to spectral triple categorification and also a precise connection between Fell bundles and Connes' non-commutative geometry. Motivated by topics in quantization of the non-commutative standard model and introduction of algebraic techniques and concepts into quantum gravity (following for example Crane, Baez and Barrett), we define spectral C*-categories, which are deformed spectral triples in a sense made precise. This definition gives to representations of a C*-category on a small category of Hilbert spaces and bounded linear maps, the interpretation of a topological quantum field theory. The construction passes two mandatory tests: (i) there is a classical limit theorem reproducing a Riemannian spin manifold manifesting Connes' and Sch\u00fccker's non-commutative counterpart of Einstein's equivalence principle, and (ii) there is consistency with the experimental fermion mass matrix. We also present an algebra invariant taking the form of a partition function arising from a C*-bundle dynamical system in connection with C*-subalgebra theory. <\/jats:p>","DOI":"10.1142\/s021988781560021x","type":"journal-article","created":{"date-parts":[[2015,4,21]],"date-time":"2015-04-21T09:08:43Z","timestamp":1429607323000},"page":"1560021","source":"Crossref","is-referenced-by-count":0,"title":["A perspective on non-commutative quantum gravity"],"prefix":"10.1142","volume":"12","author":[{"given":"Rachel A. D.","family":"Martins","sequence":"first","affiliation":[{"name":"Centro de \u00c1lgebra de Universidade de Lisboa, Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2015,9,23]]},"reference":[{"key":"rf1","unstructured":"J.\u00a0Baez, The Structural Foundations of Quantum Gravity, eds. D.\u00a0Rickles, S.\u00a0French and J. T.\u00a0Saatsi (Oxford University Press, 2004)\u00a0pp. 240\u2013266,\u00a0arXiv: quant-ph\/0404040v2."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00671007"},{"key":"rf5","author":"Bertozzini P.","year":"2014","journal-title":"Proc. Sci."},{"key":"rf6","first-page":"327","volume":"43","author":"Bertozzini P.","year":"2006","journal-title":"Osaka J. Math."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2010.06.025"},{"key":"rf9","volume":"6","author":"Bertozzini P.","year":"2010","journal-title":"SIGMA"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1142\/S0129167X94000425"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/s002200050126"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/BF02506388"},{"key":"rf13","volume-title":"Noncommutative Geometry","author":"Connes A.","year":"1994"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/BF02104124"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1985.120.79"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-98-04240-3"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1142\/S0217751X09046175"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1142\/S0217751X13501200"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2006.02.004"}],"container-title":["International Journal of Geometric Methods in Modern Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021988781560021X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T05:16:32Z","timestamp":1565154992000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021988781560021X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9]]},"references-count":16,"journal-issue":{"issue":"08","published-online":{"date-parts":[[2015,9,23]]},"published-print":{"date-parts":[[2015,9]]}},"alternative-id":["10.1142\/S021988781560021X"],"URL":"https:\/\/doi.org\/10.1142\/s021988781560021x","relation":{},"ISSN":["0219-8878","1793-6977"],"issn-type":[{"value":"0219-8878","type":"print"},{"value":"1793-6977","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,9]]}}}