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1、D.-E.LiebscherTheGeometryofTimeTheGeometryofTimeD.-E.LiebscherCopyright©2005WILEY-VCHVerlagGmbH&Co.KGaA,WeinheimISBN:3-527-40567-4Dierck-EkkehardLiebscherTheGeometryofTimeWILEY-VCHVerlagGmbH&Co.KGaAAuthorAllbookspublishedbyWiley-VCHarecarefullyproduce
2、d.Nevertheless,authors,editors,andpublisherProf.Dr.Dierck-EkkehardLiebscherdonotwarranttheinformationcontainedintheseSternwarteBabelsbergbooks,includingthisbook,tobefreeoferrors.AstrophysikalischesInstitutPotsdamReadersareadvisedtokeepinmindthatstatem
3、ents,deliebscher@aip.dedata,illustrations,proceduraldetailsorotheritemsmayinadvertentlybeinaccurate.LibraryofCongressCardNo.:AppliedforBritishLibraryCataloging-in-PublicationData:AcataloguerecordforthisbookisavailablefromtheBritishLibraryBibliographic
4、informationpublishedbyDieDeutscheBibliothekDieDeutscheBibliothekliststhispublicationintheDeutscheNationalbibliografie;detailedbibliographicdataisavailableintheInternetat.©2005WILEY-VCHVerlagGmbH&Co.KGaA,WeinheimAllrightsreserved(inc
5、ludingthoseoftranslationintootherlanguages).Nopartofthisbookmayberepro-ducedinanyform–nortransmittedortranslatedintomachinelanguagewithoutwrittenpermissionfromthepublishers.Registerednames,trademarks,etc.usedinthisbook,evenwhennotspecificallymarkedass
6、uch,arenottobeconsideredunprotectedbylaw.PrintedintheFederalRepublicofGermanyPrintedonacid-freepaperCompositionUweKrieg,BerlinPrintingStraussGmbH,MörlenbachBookbindingLitges&DopfBuchbindereiGmbH,HeppenheimISBN-13:978-3-527-40567-1ISBN-10:3-527-40567-4
7、ContentsForewordVIIThestructureofthebookXNotationXI1Introduction12TheWorldofSpaceandTime52.1Timetables....................................52.2SurveyingSpaceTime.............................72.3PhysicalPrerequisitesofGeometry.......................183R
8、eflectionandCollision213.1GeometryandReflection............................213.2TheReflectionofMechanicalMotion.....................264TheRelativityPrincipleofMechanicsandWavePropagation355RelativityTheoryanditsParadoxes495.1Pseudo-EuclideanGeome