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Loop quantum gravity
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== LQG and related research programs == {{main| Noncommutative geometry| twistor theory| entropic gravity| asymptotic safety in quantum gravity| causal dynamical triangulation| group field theory}} Several research groups have attempted to combine LQG with other research programs: Johannes Aastrup, Jesper M. Grimstrup et al. research combines [[noncommutative geometry]] with canonical quantum gravity and Ashtekar variables,{{sfn|Aastrup|2012|p=018}} Laurent Freidel, Simone Speziale, et al., [[spinors]] and [[twistor theory]] with loop quantum gravity,{{sfn|Freidel|Speziale|2010|p=084041}}{{sfn|Speziale|Wieland|2012|p=124023}} and Lee Smolin et al. with Verlinde [[entropic gravity]] and loop gravity.{{sfn|Smolin|2010}} Stephon Alexander, Antonino Marciano and Lee Smolin have attempted to explain the origins of [[weak force]] chirality in terms of Ashketar's variables, which describe gravity as chiral,{{sfn|Alexander|Marcianò|Smolin|2014|p=065017}} and LQG with [[Yang–Mills theory]] fields{{sfn|Alexander|Marcianò|Tacchi|2012|p=330}} in four dimensions. [[Sundance Bilson-Thompson]], Hackett et al.,{{sfn|Bilson-Thompson|Markopoulou|Smolin|2007|pp=3975–3994}}{{sfn|Bilson-Thompson|2012|p=014}} has attempted to introduce the standard model via LQGs degrees of freedom as an emergent property (by employing the idea of [[noiseless subsystems]], a notion introduced in a more general situation for constrained systems by [[Fotini Markopoulou-Kalamara]] et al.)<ref>{{cite arXiv | eprint=gr-qc/0601028 | last1=Konopka | first1=Tomasz | last2=Markopoulou | first2=Fotini | title=Constrained Mechanics and Noiseless Subsystems | date=2006 }}</ref> Furthermore, LQG has drawn philosophical comparisons with [[causal dynamical triangulation]]{{sfn|PITP: Renate Loll}} and [[asymptotically safe gravity]],{{sfn|Bianchi|2010}} and the spinfoam with [[group field theory]] and [[AdS/CFT correspondence]].{{sfn|Freidel|2008}} Smolin and Wen have suggested combining LQG with [[string-net liquid]], [[tensor]]s, and Smolin and [[Fotini Markopoulou-Kalamara]] [[quantum graphity]]. There is the consistent discretizations approach. Also, Pullin and [[Rodolfo Gambini|Gambini]] provide a framework to connect the [[Functional integration|path integral]] and canonical approaches to quantum gravity. They may help reconcile the spin foam and canonical loop representation approaches. Recent research by Chris Duston and [[Matilde Marcolli]] introduces [[topology change]] via topspin networks.{{sfn|Duston|2013}}
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