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Chapter6Light,spadtime
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&Grosseteste,BishopofLindthefirstcelloroftheUyofOxfordihtury,wasoheleadingthinkersofhisday,andapropoheworksoftheaGreeks.Forhim,asformanyphilosophers,thegelight’siderstandingthewrosseteste’streatiseo,entitledDeLuce,heextolstheprimaryimporta:‘Thefirst…isinmyopinionlight.Fhtofitsverynaturediffusesitselfiioninsuchaointoflightwillprodutaneouslyasphereoflightofasoever’.
Frosseteste,lightdefispropagationinstantlythroughouttheulight,thereishereforenoforumistakeplace.Matter,andthusthespatialextensios,arecoupledtolight,butotbeseparatelydefihisiio,spadmatter—ie’shaoquaiohedevelopmentologyinthesubsequeuries.
&ime
Foroheradmittednordemaioofspaceasapre-existiy,asortoftheatreisplayedthemselvese-scalemotioheheavenswasiohisideaofasetofuniversallaws.Einstein,bytrast,placeslightatthetreofspa,itdefiimebyvirtueofsettiffromooftheuher.Thefactthatthereisafinitemaximumspeedturnsouttomakespadtimeiein’stheoryofrelativityteachesusthatweotthithinkihisisbecauseourperofspadtimeisbasedosofdistaimeihesemeasuresappeardifferentlytothosemovious,becauseofthespeedlimitimposedbylight.
Howdoesthisstrawiningofspadtimebylightarise?Let’sstartwithoionofspathinkofthisasasortofscaffold—aaginaryrodsoffixedlengthallectedtogetherinathree-dimensionalframework,asshownionthoughtthatthissortofstructurepre-existeda,aalleventstookplaewhereinthisstructure.Eventsthereforebespecifiedbytheirdistanafixedpointintheframebygthenumberofrodstoreachthelooftheevent.Ofcourseeventsoccuratatime,too,sothesustbeequippedwitheasurethetime.Ifaclockisplacedatthejunofeachoftherods,theyallshowthesametimeeverywhereinspadweeasilydefinea‘uime’.
askseveralquestions.First,howshouldwebuildaclod,howshouldweeheyareallsynizedacrossspace?Third,howshouldwebuildaruler?Thesequestionsallhaveaareiedtothepropertiesoflight.Iothelastisthis:ohelengthofthepathtravelledbylightinavagatimeintervalof1299,792,458ofased.Itisthereforeliheahefirstquestion:howaccurateabebuilt.
28.Ascafspacemadeupofa3Dlattieasuringrods.Ateaterseisaclock,allsynized.
Clocks
Theprimarycharacteristicofaclockisthatit‘ticks’.Thatis,itsigervalsoftime.Bygtheicksbetwees,weatimeiheThemorepreciseaclockis,themulartheiweeiagrandfatherclock,the‘ticks’areprovidedbytheregularsenduluIronicwristwatch,the‘ticks’aretheossofapieceofquartzcrystal.Thesearemuchmularthanthesendulum,whibeaffectedbythetemperatureandhumidityoftheplacewherethegrandfatherclockislocated.Thereforethequartzwatchissaidtokeepbettertimethaherclock.
&accuratetheworldarebasedonthehighlyregularclicksofeleovingaroundinatoms.We’veseenthatatomisjumpbetweeableehinanatoForsomeatoms,thediffereweentheselevelsisextremelywelldefiherateatwhipbetweewothereforebeusedtodefiicks,basedonthefrequeusedtopushtheelesupahetwystates.
Theideaissimpleenough:illumiomwithmicrowaves(recallthatmicrowavesarejustlikelight,butwithamuchlowerfrequensofossoftheelectricfieldpersedratherthanmillionsofbillionsasinthecaseofvisiblelight).Thenslowlygethefrequenicrowavesuroheatylevelsmosteffitly.Thisdefihenumberofcyclesperseicrowaveradiatioicksofthetermsoftheenergylevelspagofeleaparti.
Therearemanyteicalgestobuildingsuicclogtheatthemiinitialstate,illuminatingwithmicrowavesiomaximizethesensitivity,detegthattheelesareihehigherstateatagiveclocksbasedoomsareaccuratewaytomeasuretime,witharateoftigthatdeviatesfrompleteandutterregularitybyohofaseehundredmillionyears.
TheseclocksprovideatimestandardthatisagreediionallyandmaintainedbygoverlaboratoriessuchastheNationalIandardsandTeology(NIST)iheNationalPhysicalLaboratory(NPL)intheUK,andPhysikalisisdesanstalt(PTB)iheyareposofmanyteologiesthatunderpinourdailylives.Foriheyarevitalflobalpositiohatisthebasisfation,ingthesatnavonlyusedincars.
ization
&geistosywoclocks,sothattheyarecalibrated.Oodothisisbysendingasignalfromooaartthefirstditotheotherclogitwhenyourfirst‘tick’occurred.Theperseofthatknowswhatfraoftickherclockisbehindyours(siheclocksarethesamestru,weassumetheytickatthesamerate)ahisinformatiohee.
&erestiothis.ImagitosynizeyourEarthtothatonadista,inafar-awaygalaxy.Yousendyourpulseoflightoffiio,andthenyoulaisfaraway,itmighttakeaverylohelighttiventhehighvelocityoflight.Meanwhileyolderahepersonwhoreceivesyoursynizationmessagewillhavereceiveditfromtheyoungyou—shewillseeyouasyouwerewhehemessage.
Likeelookatthenightsky,astars,weareseeihembyreglightthatlefttheirsurfag,longtimeago.Aalaxiesthatareevenfartheraway,sowelookintothedeepera,seeingtheuwasbillionso.Ihelightthatreachesusisalsobillionsofyearsold—ithasbeentravellingacrossspaagesihi.Lightistheoldestthingwetheuniverse.
Ourclocks,though,areabitclether.Aingfactisthatwhenyouputoheseanaeroplanemovingat800kphorso,youfindthatitticksslowerthaheground.Thatis,ifyousettheclockstotellthesametime,youwillfindthattheoheaeroplaneappearsfromthegrouigataslowerratethanthegrouhisisaaximumspeedatwhialsveyedbetweewoclocks—thespeedoflight.
Youseethisbylookiionihere,personAisonthegroundandpersonBisinanaeroplanemovingathighspeed.BwatchesasAsendsalightpulsetoamirrorsuspeHabovetheground.FromA’spoihelightpulsetravelsdistanceH.However,fromB’sperspectivethatsignalwilltravelaslightlyloahanHsiobemovingbackeedrelativetoB.Therefore,becausethesiglightspeedagtobothAandB,ahesameicksbetweensendihesigheoionisthatB’sclockistigslowerthanA’sseenfromA,andA’sclockistigslowerthanB’swhenseenfromB.Thiseffectiscalledtimedilation.
29.Timedilatioivemotion.ObserversAandBbothmeasurethetimeforapulsetoarriveatthesuspendedmirror.Theymeasuredifferenttimesbecausetheyaremoviooher.
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