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1、ONTHEEMERGENCETHEMEOFPHYSICSThispageintentionallyleftblankONTHEEMERGENCETHEMEOFPHYSICSRobertCarrollUniversityofIllinoisatUrbana-Champaign,USAWorldScientificNEWJERSEY•LONDON•SINGAPORE•BEIJING•SHANGHAI•HONGKONG•TAIPEI•CHENNAIPublishedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapor
2、e596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGarden,LondonWC2H9HEBritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLibrary.ONTHEEMERGENCETHEMEOFPHYSICSCopyright©2010byWorldScientificPublishingCo.P
3、te.Ltd.Allrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePublisher.Forphotocopyingofmaterialinthisvolume,pleas
4、epayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.ISBN-13978-981-4291-79-8ISBN-10981-4291-79-XISBN-13978-981-4304-82-5(pbk)ISBN-10978-4304-82-4(pbk)PrintedinSingapore.ContentsPrefaceixChap
5、ter1.SOMEQUANTUMBACKGROUND11.deBROGLIE-BOHMMECHANICS11.1.SUBQUANTUMTHERMODYNAMICS31.2.FLUCTUATIONSANDFISHERINFORMATION71.3.THEQUANTUMEQUIVALENCEPRINCIPLE-QEP122.ONTHEGUTZWILLERTRACEFORMULA152.1.PROPAGATORS,KERNELS,ANDTHEWIGNERFUNCTION172.2.REMARKSONTHETRACEFORMULA182.3.COHERENTSTATESANDTHET
6、RACEFORMULA202.4.SOMEMATHEMATICALVARIATIONS263.MOREONMETAPLECTICTECHNIQUES32Chapter2.SOMEGEOMETRICASPECTS371.INTRODUCTION372.REMARKSONWEYLGEOMETRY393.EMERGENCEOFQINGEOMETRY443.1.QUANTUMPOTENTIALASADYNAMICALFIELD484.OTHERGEOMETRICASPECTS495.THEQUANTUMPOTENTIALANDGEOMETRY546.CONFORMALANDQUANT
7、UMMASS587.RICCIFLOWANDTHEQUANTUMPOTENTIAL597.1.EXPANSION628.REMARKSONTHEFRIEDMANEQUATIONS659.ENHANCEMENT6710.SOMEHEURISTICRESULTS71Chapter3.ASPECTSOFEMERGENCE751.INTRODUCTION752.SOMECLASSICALQUANTUMRELATIONS773.NCFIELDSANDGRAVITY823.1.REVIEWOFSOMEIDEAS85
