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1 Introduction 1.1 High energy 1.2 Doubly special relativity 1.3 Newton–Hooke: de Sitter special relativity in the limit v ≪ c 1.
Inmathematicalphysics,deSitterinvariantspecialrelativityisthespeculativeideathatthefundamentalsymmetrygroupofspacetimeistheindefiniteorthogonalgroupSO(4,1),thatofdeSitterspace.Inthestandardtheoryofgeneralrelativity,deSitterspaceisahighlysymmetricalspecialvacuumsolution,whichrequiresacosmologicalconstantorthestress–energyofaconstantscalarfieldtosustain.
TheideaofdeSitterinvariantrelativityistorequirethatthelawsofphysicsarenotfundamentallyinvariantunderthePoincarégroupofspecialrelativity,butunderthesymmetrygroupofdeSitterspaceinstead.Withthisassumption,emptyspaceautomaticallyhasdeSittersymmetry,andwhatwouldnormallybecalledthecosmologicalconstantingeneralrelativitybecomesafundamentaldimensionalparameterdescribingthesymmetrystructureofspacetime.
FirstproposedbyLuigiFantappièin1954,thetheoryremainedobscureuntilitwasrediscoveredin1968byHenriBacryandJean-MarcLévy-Leblond.In1972,FreemanDysonpopularizeditasahypotheticalroadbywhichmathematicianscouldhaveguessedpartofthestructureofgeneralrelativitybeforeitwasdiscovered.[1]ThediscoveryoftheacceleratingexpansionoftheuniversehasledtoarevivalofinterestindeSitterinvarianttheories,inconjunctionwithotherspeculativeproposalsfornewphysics,likedoublyspecialrelativity.
4 al relativity History of de Sitter invariant speci History of de Sitter invariant speci History of de Sitter invariant speci History of de Sitter invariant speci History of de Sitter invariant speci History of de Sitter invariant speci 1.

de Sitter invariant special relativity

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