Mach's Holographic Principle

dc.contributor.authorKhoury, Justin
dc.contributor.authorParikh, Maulik
dc.date2023-05-17T05:45:42.000
dc.date.accessioned2023-05-23T00:26:35Z
dc.date.available2023-05-23T00:26:35Z
dc.date.issued2009-10-06
dc.date.submitted2010-12-07T10:08:35-08:00
dc.description.abstractMach’s principle is the proposition that inertial frames are determined by matter. We put forth and implement a precise correspondence between matter and geometry that realizes Mach’s principle. Einstein’s equations are not modified and no selection principle is applied to their solutions; Mach’s principle is realized wholly within Einstein’s general theory of relativity. The key insight is the observation that, in addition to bulk matter, one can also add boundary matter. Given a space-time, and thus the inertial frames, we can read off both boundary and bulk stress tensors, thereby relating matter and geometry. We consider some global conditions that are necessary for the space-time to be reconstructible, in principle, from bulk and boundary matter. Our framework is similar to that of the black hole membrane paradigm and, in asymptotically anti-de Sitter space-times, is consistent with holographic duality.
dc.description.commentsSuggested Citation: Khoury, J. and Parikh, M. (2009). "Mach's holographic principle." Physical Review D. 80, 084004. © 2009 The American Physical Society http://dx.doi.org/10.1103/PhysRevD.80.084004.
dc.identifier.urihttps://repository.upenn.edu/handle/20.500.14332/43249
dc.legacy.articleid1058
dc.legacy.fieldstrue
dc.legacy.fulltexturlhttps://repository.upenn.edu/cgi/viewcontent.cgi?article=1058&context=physics_papers&unstamped=1
dc.source.issue52
dc.source.journalDepartment of Physics Papers
dc.source.peerreviewedtrue
dc.source.statuspublished
dc.subject.otherPhysical Sciences and Mathematics
dc.subject.otherPhysics
dc.titleMach's Holographic Principle
dc.typeArticle
digcom.contributor.authorisAuthorOfPublication|email:jkhoury@sas.upenn.edu|institution:Perimeter Institute for Theoretical Physics, University of Pennsylvania|Khoury, Justin
digcom.contributor.authorParikh, Maulik
digcom.identifierphysics_papers/52
digcom.identifier.contextkey1674567
digcom.identifier.submissionpathphysics_papers/52
digcom.typearticle
dspace.entity.typePublication
relation.isAuthorOfPublication1cc97b54-e1b9-4ea3-9a86-362e309b06ee
relation.isAuthorOfPublication.latestForDiscovery1cc97b54-e1b9-4ea3-9a86-362e309b06ee
upenn.schoolDepartmentCenterDepartment of Physics Papers
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