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Chapter6Frravitationalphysics
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ThroughoutmostofthisbookwehavebeehegedgeravitationalphysicsreseargfromtestsonthesetrestothoseoheentireobservableUhischapterwewillsidersomeoftheissuesihetheoreticaldesofgravity.
&hasbeeheorythathasshapedofthegravitatioion.Thistheorytreatsspadtimeasasi,ahepropertiesofthatobjectbedetermihatexistswithinit.Ihopethatthereaderhas,bynow,beehephenomenalsuccessofEiheory.Itistrulyextraordinarythatasiheoryshouldbeabletoexplainsuchahysicalefestein’stheory,however,isuobethefinalwordiandingofgravity.Alothashappeheworldoftheoreticalphysice1915,andmuchofitsuggeststhatweshouldexpecttheretobeanevenmorefuheory.
Quantummedgravity
Notloeiheravity,atthebeginnihtury,theworldoftheoreticalphysicswasfed(on)bystistssuchasBohr,Heisenberg,Sger,andothers.Sion,andupuntilthispoint,physicshadbeenthoughttobedeterministic.Thatis,ifyouknowenoughinformationaboutthepositionandmotionsofallobjetheUhenyoushouldbeabletopredictthefuturewitharbitrarilyhighpre.Physicaltheoriesthatworkinthiswayareoasclassicaltheories.Einsteiytheoryisanexampleofaclassicaltheory.TherevolutionledbyBohr,Heisenberg,andSgerothertypeoftheory,quantummeiewquantumtheoryrobability,aediionofnatureinwhichitwasonlyeverpossibletocalculatetheoddsthateventseure,andwithinwhieverwhatthefutureholds.
Quantummeiastonishidescribedthe,andthebuildingblocksofallkraordinarypre.Later,PaulDirac,aprofessorattheUye,shothesenewideascouldbeusedtocreatequantumtheoriesofelectridmaghisledtowhatisaiclephysitummeicaldesofalloftheknowure,andtheforcesbetweentheWindingforwardtothepresentdaythereoseriousdoubtthatummeical.ThepredisoftheStandardModelhaveallbeehegjewelbeialverifi2012oftheexisteheHiggsboson(atheorizedparticlethatisanimportahemodernStandardModel,andwhichgivestheotherparticlestheirmass).Itisquahatunderpinsmuistryandmaterialsgusthesemi-ductorsthatourputersaremadefrom;andthelasersaareusedtostructourDVDplayersandtelevisions.Quantummeicsisafactoflife.Itishownatureworks,anditbeesinglyimportaodescribethemicroscopicworld.
&eitsubiquityinallotherareasofphysics,theappliofthisapproachtogravityisstillood.WhiletheeleagicforbequantizediivelystraightforhilethematterintheUniversehaslongbeendescribedusingquantummeics,thequantumtheravityremaihisisprobablythesiunsolvedprobleminphysidhasbeefiftyyears.Itisextraordinarilydiiculttoapplythelogicthathasbeensosucotherareasofphysicstogravity,andsoourtbestdesofgravityisstillEinstein’sclassicaltheory.
Partoftheproblemwiththisstateofafairsisthattherearesituationsinwhiewouldexpectbothquantummedgravitytoberequired.Ohisisthetreofablackhole.Aswe’vediscussedalready,blawhearsuastrophiccollapse.Thematterthatwasinallypartofthestargetspressedbygravitytherdensities.Infact,agtoEiheory,thecollapseshouldueuntilallthematterissquashedtoasi.NtoquantumtheoryweshouldexpeewquaobeeapparentwhenwesiderverysmalldistancesdveryhigheI’vedescribedistherefimewherebothquantummedgravityareexpectedtoberequirediadesofthephysicsatplay.Butthereisheoryofquantumgravity,soitis(atpresent)impossibletoknowwhatshouldhappereofastarafterithascollapsed.Thisisobviouslyanunsatisfactorystateofafairs.Ifwewaodescribeeverythisiheumtheravity.
Thereasoinpatibilityofquantumtheravityaremany,aplicated.Firstthereisaceptualdifereein’sapproachtogravity,andhowforcesaretreatedinquantummeistein’stheravityisaresultofthecurvatureofspace-time.Thereiserpullsthiheapparentwayinwhichmassivebodiesmovetowardseachotherissimplyaresultofthecurvatureofspace-time.TheEarth,forexample,isowardstheSun,itissimplyinfreefall,followipathavailabletoitiime.Thisisnotthecaseforotherforces.Theelectricforple,isaresultoftheelectricfieldthatgetsgeedbychargedparticles.Theelectricfieldexistswithiime,butisnotthesameasspae,inanyseimearesimplythearenawithinwhichtheelectricforceplaysout.Thisideaofspadtimehavingtheirowexistendbeisoftheproblem,isbuiltintomostapproameics.TotrytousetheseapproachestravitytherefainsteretaughtbyEinstein.
Therearealsoodmathematiswhygravityandquantummeipatible.Theforemostoftheseisaprravityalizability.Whenquantummeicsisusedtodescribeaforce,theresultofthecalsthatweperformresultifinities.Ahisowesidertarticles.Toworkouttheforthem,quantummeically,wehavetoaddthetributionsfromallofthepossiblepositioieofthesefiguratiohepartievery,verywhichcasetheforesvery,verylarge.Summingoverallpossiblepositionsthengivesaresultthatisihisunreasonableanswerbecorrectedfor,iheelectricforce,byusingaprocessormalization.Thisprocessremovesthepartsoftheequationsthattributedtheiis,theinfiiallysubtratheiiohenasensibleanswer,whibetestedwithexperiments.Renormalization,however,doesn’tworkwithEinstein’sgravity.Theibesubtracted,asthereisnothingintheiionsthatlooksanythiermsthatbeeiumgravitycalsthereforeseemtogiveinfihingisobvi.
Therehavebeenmaofixtheseproblems.TheyrangefromgEiions(sothattheyappeartobemorerenormalizable);togquantummeics(sothatitisnoloicles);throughtogthewethinkofasspadtime(sothattheyarenotuous).Itisnotpossibletogiveafairrepresentationofalloftheseapproacheshere,ointoahemiheyareveryplicatedideasandtheyareallwress.ThereareacoupleoftheoriesthatIfeelIshouldmentionthough’theseareStringTheoryandLoopQuantumGravity.Thesearebothextremelyboldandambitiousattemptstostrutumtheravity.Ifcorrect,thehopeisthatphysicistscouldusethesetheoriestodescribeereofblackholes.Theyare,however,quitedifereher.Theyprioritizedifereheproblem,andapproachthetedceptualdicultiesjustdesquitediferent>
StringTheorywasbornoutofparticlephysics.Itisbasedohebasistituentsofmatterarenotpoiicles,butareiinyone-dimensis.Thisisaradicalidea,andithasledtoalotmathsandphysideed,manyphysisiderittobeourbesthopeoffindingatheoryofquantumgravity.Thehypothesizedstringsareverysmall,sothatforthemostparttheyappeartousefectivelyaspoiiwetryandquahem,however,theirstriodifereheequationsthatgoverringsalsoaspectsthatlookalotliketheequationsthatgoverheravity.Ittherefravityis,tosomeextent,builtintTheory.Therearedrawbacks,however,asthecyoftheequationsthatgoverringsrequireustoaddbetweensixawoextradimensionsofspacetoourdesoftheUniverse.
&radimetobeact,sothatwedoheminoureverydaylives.heyhavetobethereforthetheorytobeself-t.Iiehesesmallextradimehepossibilitythatgravitycouldworkdiferentlyonverysmallscales.
LoopQuantumGravityisoftehemaiTheory.Thestartingpointforthistheoryistheideathatonverysmallscalesspace-timehasagranularstructure.Thatis,spadtimearehuousvariablesthatweusuallysiderthemtobe.Instead,space-timeisatomized.Quaheheloopsthatmakeupthisure.Thisisalsoaradicalidea,aobefavouredbyafiadosofGeybephasisoimeasthefualobjeterest’insteadofasabad.LoopQuantumGravityis,however,verymuchawress.ItremainstobeseeheapproachitemploysistheeTheory,orsomeotherasyetuheory,isapreferabledesofherworkisofuswouldbepreparedtomakeaheouteofthisdebate.
Partigravitationalfields
Quantizinggravityisfraughtwithdiculties.Solet’sturntoaioummeiagravitationalfield?HereweathesamewaythatEinsteindidinhisclassicaltheravity.Oncewehaveaclassicalspace-timeatourdisposal,hoillsiderereatthemattertasbeinggovernedbyquahismixedapproach,withmatterbeiummeidgravitybeiedclassically,isusuallyreferredtoassemi-classicalphysics.Itisalessambitiousprojefullquantumgravitybuthelessgivesusiinginsightsintohowquantumsystemsworkinthepresenceofgravity.
&hepiohissubjecthenHawking,whoin1974showedthatquantummeicsshouldleadtoblaittingradiation.Thisdiscoveryshockedthestifiunity,asagtoEiheeveresablackhole.Hawking’scalwasasemi-classie.Hetooktheclassicaldesforthespace-timearoundabladallowedquantummeicalparticlestoexistwithinit.Heshowed,usingafairlysimplequantummeicalcal,thatiftherewasnoradiatiopast,theexistradiatioure.Theonlypossibleexplanationforthiswasthattheradiationroducedbytheblackhole.Ofcourse,radiatiy,andinthissituationtheonlysourergyisthemasswithintheblaberthatmassisatypeyiheory).SoHawkinghadshownthatblaaturallyshrink,byradiatingawaytheirmass,andthattheymusteveobe.
Hawkiwasnovel,andsparkedseveralnewfieldsravitationalphysiediatelyafterHawking’sdiscoveryitwasshown,byBillUnruh,thattheveryexisteibequestionedwhenwesiderthemwithiytheory.Particlephysicsisverymuainofquantummeiruhshowedthatifobserversareiion,withoiotheother,theirelypossibleforoecttheexisteumparticleswhiletheotherdetegatall.Thatis,whetherornotparticlesexistdepeionofthepersonwhtomeasurethe
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