资源描述：
《Causality, Measurement Theory and the Differentiable Structure of Space-Time 2010》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、ThispageintentionallyleftblankCAUSALITY,MEASUREMENTTHEORYANDTHEDIFFERENTIABLESTRUCTUREOFSPACE-TIMEIntroducinggraduatestudentsandresearcherstomathematicalphysics,thisbookdiscussestworecentdevelopments:thedemonstrationthatcausalitycanbedefinedondiscretespace-times
2、;andSewell’smeasurementtheory,inwhichthewavepacketisreducedwithoutrecoursetotheobserver’sconsciousego,nonlinearitiesorinteractionwiththerestoftheuniverse.Thedefinitionofcausalityonadiscretespace-timeassumesthatspace-timeismadeupofgeometricalpoints.UsingSewell’sm
3、easurementtheory,theauthorconcludesthatthenotionofgeometricalpointsisasmeaningfulinquantummechanicsasitisinclassicalmechanics,andthatitisimpossibletotellwhetherthedifferentialcalculusisadiscoveryoraninvention.Thismathematicaldis-courseontherelationbetweentheoret
4、icalandexperimentalphysicsincludesdetailedaccountsofthemathematicallydifficultmeasurementtheoriesofvonNeumannandSewell.R.N.SenwasaProfessorintheDepartmentofMathematicsatBen-GurionUniversity,Beer-Sheva,Israel,andisnowretired.Hismainresearchinter-estswerethetheoryo
5、fsymmetryofinfinitequantum-mechanicalsystemsandmathematicalinvestigationsintotherelationbetweenmathematicsandphysics,particularlytheoriginsofthedifferentiablestructureofspace-time.Hehastaughtabroadspectrumofcoursesonphysicsandmathematics,aswellasdemography.ALifeM
6、emberofClareHall,Cambridge,hehasbeenaGaussProfessorinG¨ottingenandisalsoamemberoftheInternationalAssociationforMathematicalPhysicsandoftheIsraelMathematicalUnion.CAMBRIDGEMONOGRAPHSONMATHEMATICALPHYSICSGeneralEditors:P.V.Landshoff,D.R.Nelson,SWeinbergS.J.Aarseth
7、GravitationalN-BodySimulations:ToolsandAlgorithmsJ.Ambjørn,B.DurhuusandT.JonssonQuantumGeometry:AStatisticalFieldTheoryApproachA.M.AnileRelativisticFluidsandMagneto-fluids:WithApplicationsinAstrophysicsandPlasmaPhysicsJ.A.deAzc´arragaandJ.M.IzquierdoLieGroups,Li
8、eAlgebras,CohomologyandSome†ApplicationsinPhysics†O.Babelon,D.BernardandM.TalonIntroductiontoClassicalIntegrableSystemsF.BastianelliandP.vanNieuwenhuizenPathIntegralsandAnom
