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dc.contributor.authorBhattacharya, Anish-
dc.contributor.authorAbhishek, Mathur-
dc.contributor.authorSurya, Sumati-
dc.date.accessioned2023-03-09T05:53:48Z-
dc.date.available2023-03-09T05:53:48Z-
dc.date.issued2023-02-04-
dc.identifier.citationGeneral Relativity and Gravitation, 2023, Vol. 55, Article No.32en_US
dc.identifier.issn0001-7701-
dc.identifier.issn1572-9532 (Online)-
dc.identifier.urihttp://hdl.handle.net/2289/8063-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe propose a discrete analogue of null geodesics in causal sets that are approximated by M2, in the spirit of Kronheimer and Penrose’s ”grids” and ”beams” for an abstract causal space. The causal set analogues are “ladder molecules”, whose rungs are linked pairs of elements corresponding loosely to Barton et al’s horizon bi-atoms [1]. In M2 a ladder molecule traps a ribbon of null geodesics corresponding to a thickened or fuzzed out horizon. The existence of a ladder between linked pairs of elements in turn provides a generalisation of the horismotic relation to causal sets. Simulations of causal sets approximated by a region of M2 show that ladder molecules are fairly dense in the causal set, and provide a light-cone like grid. Moreover, similar to the uniqueness of null geodesics between horismotically related events in M2, in such causal sets there is a unique ladder molecule between any two linked pairs which are related by the generalised horismotic relation.en_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.urihttps://arxiv.org/abs/2301.06480en_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2023GReGr..55...32B/abstracten_US
dc.relation.urihttps://inspirehep.net/literature/2623883en_US
dc.relation.urihttps://doi.org/10.1007/s10714-023-03074-yen_US
dc.rights2023 The Author(s)en_US
dc.subjectdiscrete geometryen_US
dc.subjectquantum gravityen_US
dc.subjectcausal structure poseten_US
dc.subjectnull geodesicsen_US
dc.titleNull geodesics from ladder moleculesen_US
dc.typeArticleen_US
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