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Space
FromWikipedia,thefreeencyclopedia
Thisarticleisaboutthegeneralf rameworkofdistanceanddirectio n.ForthespacebeyondEarth'satmosphere,seeOuterspace.Forallotheruses,seeSpace(disambiguation).

Spaceistheboundless,three-dimensionalextentinwhichobjectsandeventsoccurandhaverelativepositionanddirection.[1]Physicalspaceisoftenconceived inthreelineardimensions,althoughmodernphysicistsusuallyconsiderit,withtime,tobepartoftheboundlessfour-dimensionalcontinuumknownasspacetime.Inmathematicsoneexamines'spaces'withdifferentnumbersofdimensi onsandwithdifferentunderlying structures.Theconceptofspacei sconsideredtobeoffundamentali mportancetoanunderstandingoft hephysicaluniversealthoughdis agreementcontinuesbetweenphil osophersoverwhetheritisitself anentity,arelationshipbetweenentities,orpartofaconceptualframework.

Debatesconcerningthenature,essenceandthemodeofexistenceofspacedatebacktoantiquity;namely,totreatisesliketheTimaeusofPlato,inhisreflectionsonwhattheGreekscalled:chora/Khora(i.e.'space'),orinthePhysicsofAristotle(BookIV,Delta)inthedefinitionoftopos(i.e.place),oreveninthelater'geometricalconceptionofplace'as'spacequaextension'intheDiscourseonPlace(Qawlfial-makan)ofthe11thcenturyArabpolymathI bnal-Haytham(Alhazen).[2]Manyoftheseclassicalphilosoph icalquestionswerediscussedint heRenaissanceandthenreformula tedinthe17thcentury,particularlyduringtheearlydevelopmentofclassicalmechanics.InIsaacNewton'sview,spacewasabsolute-inthesensethatitexistedpermanentlyandindependentlyofwhethertherewereanymatterinthespace.[3]Othernaturalphilosophers,notablyGottfriedLeibniz,thoughtinsteadthatspacewasacollectionofrelationsbetweenobjects,givenbytheirdistanceanddirectionfromoneanother.Inthe18thcentury,thephilosopherandtheologianGeorgeBerkeleyattemptedtorefutethe'visibilityofspatialdepth'inhisEssayTowardsaNewTheoryof Vision.Later,themetaphysicianImmanuelKantsaidneitherspacenortimecanbeempiricallyperceived,theyareelementsofasystematicframeworkthathumansusetostructureallexperiences.Kantreferredto'space'inhisCritiqueofPureReasonasbe ing:asubjective'pureaprioriformofintuition',henceitisanunavoidablecontributionofourhumanfaculties.

Inthe19thand20thcenturiesmath ematiciansbegantoexaminenon-Euclideangeometries,inwhichspacecanbesaidtobecurved,ratherthanflat.AccordingtoAlbertEinstein'stheoryofgeneralrelativity,spacearoundgravitationalfieldsdeviatesfromEuclideanspace.[4]Experimentaltestsofgeneralrel ativityhaveconfirmedthatnon-Euclideanspaceprovidesabettermodelfortheshapeofspace.
Contents
[hide]

1Philosophyofspace
1.1LeibnizandNewton
1.2Kant
1.3Non-Euclideangeometry
1.4GaussandPoincaré
1.5Einstein
2Mathematics
3Physics
3.1Classicalmechanics
3.2Relativity
3.3Cosmology
4Spatialmeasurement
5Geographicalspace
6Inpsychology
7Seealso
8References

[edit]Philosophyofspace
[edit]LeibnizandNewton
GottfriedLeibniz

Intheseventeenthcentury,thephilosophyofspaceandtimeemergedasacentralissueinepistemologyandmetaphysics.Atitsheart,GottfriedLeibniz,theGermanphilosopher-mathematician,andIsaacNewton,theEnglishphysicist-mathematician,setouttwoopposingtheoriesofwhatspaceis.Ratherthanbeinganentitythatindependentlyexistsoverandaboveothermatter,Leibnizheldthatspaceisnomorethanthecollectionofspatialrelationsbetweenobjectsintheworld:"spaceisthatwhichresultsfrompl acestakentogether".[5]Unoccupiedregionsarethosethat couldhaveobjectsinthem,andthusspatialrelationswithotherplaces.ForLeibniz,then,spacewasanidealisedabstractionfromtherelationsbetweenindividualentitiesortheirpossiblelocationsandthereforecouldnotbecontinuousbutmustbediscrete.[6]Spacecouldbethoughtofinasimil arwaytotherelationsbetweenfam ilymembers.Althoughpeopleinth efamilyarerelatedtooneanother ,therelationsdonotexistindependentlyofthepeople.[7]Leibnizarguedthatspacecouldno texistindependentlyofobjectsi ntheworldbecausethatimpliesad ifferencebetweentwouniverselo veactlyalikeexceptforthelocat ionofthematerialworldineachun iverse.Butsincetherewouldbeno observationalwayoftellingthes euniversesapartthen,accordingtotheidentityofindiscernibles,therewouldbenorealdifferencebetweenthem.Accordingtotheprincipleofsufficientreason,anytheoryofspacethatimpliedthattherecouldbethesetwopossibleuniverses,mustthereforebewrong.[8]
IsaacNewton

Newtontookspacetobemorethanre lationsbetweenmaterialobjects andbasedhispositiononobservat ionandexperimentation.Forarel ationisttherecanbenorealdiffe rencebetweeninertialmotion,inwhichtheobjecttravelswithconstantvelocity,andnon-inertialmotion,inwhichthevelocitychangeswithtime,sinceallspatialmeasurementsarerelativetootherobjectsandtheirmotions.ButNewtonarguedthatsincenon-inertialmotiongeneratesforces,itmustbeabsolute.[9]Heusedtheexampleofwaterinaspi nningbuckettodemonstratehisar gument.Waterinabucketishungfr omaropeandsettospin,startswithaflatsurface.Afterawhile,asthebucketcontinuestospin,thesurfaceofthewaterbecomesconcave.Ifthebucket'sspinningisstoppedthenthesurf aceofthewaterremainsconcaveas itcontinuestospin.Theconcaves urfaceisthereforeapparentlyno ttheresultofrelativemotionbet weenthebucketandthewater.[10]Instead,Newtonargued,itmustbearesultofnon-inertialmotionrelativetospaceitself.Forseveralcenturiesthebucketargumentwasdecisiveinshowingthatspacemustexistindependentlyofmatter.
[edit]Kant
ImmanuelKant

IntheeighteenthcenturytheGerm anphilosopherImmanuelKantdeve lopedatheoryofknowledgeinwhic hknowledgeaboutspacecanbeboth aprioriandsynthetic.[11]AccordingtoKant,knowledgeaboutspaceissynthetic,inthatstatementsaboutspacearenotsimplytruebyvirtueofthemeaningofthewordsinthestatement.Inhiswork,Kantrejectedtheviewthatspacemustbeeitherasubstanceorrelation.Insteadhecametotheconclusionthatspaceandtimearenotdiscoveredbyhumanstobeobjectivefeaturesoftheworld,butarepartofanunavoidablesystematicframeworkfororganizingourexperiences.[12]
[edit]Non-Euclideangeometry
Sphericalgeometryissimilartoe llipticalgeometry.Onthesurfac eofaspheretherearenoparallell ines.

Euclid'sElementscontainedfivepostula testhatformthebasisforEuclide angeometry.Oneofthese,theparallelpostulatehasbeenthesubjectofdebateamongmathematiciansformanycenturies.ItstatesthatonanyplaneonwhichthereisastraightlineL1andapointPnotonL1,thereisonlyonestraightlineL2ontheplanethatpassesthroughthepointPandisparalleltothestraightlineL1.Untilthe19thcentury,fewdoubtedthetruthofthepostulate;insteaddebatecenteredoverwhet heritwasnecessaryasanaxiom,orwhetheritwasatheorythatcouldbederivedfromtheotheraxioms.[13]Around1830though,theHungarianJánosBolyaiandtheRussianNikolaiIvanovichLobachevskyseparatelypublishedtreatisesonatypeofgeometrythatdoesnotincludetheparallelpostulate,calledhyperbolicgeometry.Inthisgeometry,aninfinitenumberofparallellinespassthroughthepointP.Consequentlythesumofanglesinatriangleislessthan180oandtheratioofacircle'scircumferencetoitsdiameteris greaterthanpi.Inthe1850s,BernhardRiemanndevelopedanequivalenttheoryofellipticalgeometry,inwhichnoparallellinespassthroughP.Inthisgeometry,triangleshavemorethan180oandcircleshavearatioofcircumference-to-diameterthatislessthanpi.
Typeofgeometry   Numberofparallels   Sumofanglesinatriangle   Ratioofcircumferencetodiamete rofcircle   Measureofcurvature
Hyperbolic   Infinite   <180o   >π   <0
Euclidean   1   180o   π   0
Elliptical   0   >180o   <π   >0
[edit]GaussandPoincaré
CarlFriedrichGauss
HenriPoincaré

AlthoughtherewasaprevailingKa ntianconsensusatthetime,oncenon-Euclideangeometrieshadbeenformalised,somebegantowonderwhetherornotphysicalspaceiscurved.CarlFriedrichGauss,aGermanmathematician,wasthefirsttoconsideranempiricalinvestigationofthegeometricalstructureofspace.Hethoughtofmakingatestofthesumoftheanglesofanenormousstellartriangleandtherearereportsheactuallycarriedoutatest,onasmallscale,bytriangulatingmountaintopsinGermany.[14]

HenriPoincaré,aFrenchmathematicianandphysicistofthelate19thcenturyintroducedanimportantinsightinwhichheattemptedtodemonstratethefutilityofanyattempttodiscoverwhichgeometryappliestospacebyexperiment.[15]Heconsideredthepredicamenttha twouldfacescientistsiftheywer econfinedtothesurfaceofanimag inarylargespherewithparticula rproperties,knownasasphere-world.Inthisworld,thetemperatureistakentovaryinsuchawaythatallobjectlovepandandcontractinsimilarproportionsindifferentplacesonthesphere.Withasuitablefalloffintemperature,ifthescientiststrytousemeasuringrodstodeterminethesumoftheanglesinatriangle,theycanbedeceivedintothinkingthattheyinhabitaplane,ratherthanasphericalsurface.[16]Infact,thescientistscannotinprincipledeterminewhethertheyinhabitaplaneorsphereand,Poincaréargued,thesameistrueforthedebateoverwhetherrealspaceisEuclideanornot.Forhim,whichgeometrywasusedtodescribespace,wasamatterofconvention.[17]SinceEuclideangeometryissimpl erthannon-Euclideangeometry,heassumedtheformerwouldalwaysbeusedtodescribethe'true'geometryoftheworld.[18]
[edit]Einstein
AlbertEinstein

In1905,AlbertEinsteinpublishedapaperonaspecialtheoryofrelativity,inwhichheproposedthatspaceandtimebecombinedintoasingleconstructknownasspacetime.Inthistheory,thespeedoflightinavacuumisthesameforallobservers—whichhastheresultthattwoeventsthatappearsimultaneoustooneparticularobserverwillnotbesimultaneoustoanotherobserveriftheobserversaremovingwithrespecttooneanother.Moreover,anobserverwillmeasureamovingclocktotickmoreslowlythanonethatisstationarywithrespecttothem;andobjectsaremeasuredtobeshor tenedinthedirectionthattheyar emovingwithrespecttotheobserv er.

OverthefollowingtenyearsEinst einworkedonageneraltheoryofre lativity,whichisatheoryofhowgravityinteractswithspacetime.Insteadofviewinggravityasaforcefieldactinginspacetime,Einsteinsuggestedthatitmodifiesthegeometricstructureofspacetimeitself.[19]Accordingtothegeneraltheory,timegoesmoreslowlyatplaceswithlowergravitationalpotentialsandraysoflightbendinthepresenceocigaretteravitationalfield.Scientistshavestudiedthebehaviourofbinarypulsars,confirmingthepredictionsofEinstein'stheoriesandnon-Euclideangeometryisusuallyusedtodescribespacetime.
[edit]Mathematics

Inmodernmathematicsspacesared efinedassetswithsomeaddedstru cture.Theyarefrequentlydescri bedasdifferenttypesofmanifold s,whicharespacesthatlocallyapproximatetoEuclideanspace,andwherethepropertiesaredefinedlargelyonlocalconnectednessofpointsthatlieonthemanifold.Therearehowever,manydiversemathematicalobjectsthatarecalledspaces.Forexample,vectorspacessuchasfunctionspacesmayhaveinfinitenumbersofindependentdimensionsandanotionofdistanceverydifferenttoEuclideanspace,andtopologicalspacesreplacetheconceptofdistancewithamoreabstractideaofnearness.
[edit]Physics
[edit]Classicalmechanics
Classicalmechanics
\mathbf{F}=m\mathbf{a}
Newton'sSecondLaw
Historyofclassicalmechanics·Timelineofclassicalmechanics
[show]Branches
[show]Formulations
[hide]Fundamentalconcepts
Space·Time·Velocity·Speed·Mass·Acceleration·Gravity·Force·Impulse·Torque/Moment/Couple·Momentum·Angularmomentum·Inertia·Momentofinertia·Referenceframe·Energy·Kineticenergy·Potentialenergy·Mechanicalwork·Virtualwork·D'Alembert'sprinciple
[show]Coretopics
[show]Scientists
v·d·e

Spaceisoneofthefewfundamental quantitiesinphysics,meaningthatitcannotbedefinedviaotherquantitiesbecausenothingmorefundamentalisknownatthepresent.Ontheotherhand,itcanberelatedtootherfundamentalquantities.Thus,similartootherfundamentalquantities(liketimeandmass),spacecanbeexploredviameasurementandexperiment.
[edit]Relativity
Mainarticle:Theoryofrelativity

BeforeEinstein'sworkonrelativisticphysics,timeandspacewereviewedasindependentdimensions.Einstein'sdiscoveriesshowedthatduetore lativityofmotionourspaceandti mecanbemathematicallycombined intooneobject—spacetime.ItturnsoutthatdistancesinspaceorintimeseparatelyarenotinvariantwithrespecttoLorentzcoordinatetransformations,butdistancesinMinkowskispace-timealongspace-timeintervalsare—whichjustifiesthename.

Inaddition,timeandspacedimensionsshouldnotbeviewedaloveactlyequivalentinMinkowskispace-time.Onecanfreelymoveinspacebutnotintime.Thus,timeandspacecoordinatesaretreateddifferentlybothinspecialrelativity(wheretimeissometimesconsidere danimaginarycoordinate)andingeneralrelativity(wheredifferentsignsareassigne dtotimeandspacecomponentsofsp acetimemetric).

Furthermore,inEinstein'sgeneraltheoryofrelativity,itispostulatedthatspace-timeisgeometricallydistorted-curved-neartogravitationallysignificantmasses.[20]

Experimentsareongoingtoattemp ttodirectlymeasuregravitation alwaves.ThCIAessentiallysolut ionstotheequationsofgeneralre lativity,whichdescribemovingripplesofspacetime.IndirectevidenceforthishasbeenfoundinthemotionsoftheHulse-Taylorbinarysystem.
[edit]Cosmology
Mainarticle:Shapeoftheuniverse

Relativitytheoryleadstothecos mologicalquestionofwhatshapet heuniverseis,andwherespacecamefrom.ItappearsthatspacewascreatedintheBigBang,13.7billionyearsagoandhasbeenexpandingeversince.Theoverallshapeofspaceisnotknown,butspaceisknowntobeexpandingveryrapidlyduetotheCosmicInflation.
[edit]Spatialmeasurement
Mainarticle:Measurement

Themeasurementofphysicalspace haslongbeenimportant.Although earliersocietieshaddevelopedm easuringsystems,theInternationalSystemofUnits,(SI),isnowthemostcommonsystemofunitsusedinthemeasuringofspace,andisalmostuniversallyused.

Currently,thestandardspaceinterval,calledastandardmeterorsimplymeter,isdefinedasthedistancetraveledbylightinavacuumduringatimeintervalofexactly1/299,792,458ofasecond.Thisdefinitioncoupledwithpresentdefinitionofthesecondisbasedonthespecialtheoryofrelativityinwhichthespeedoflightplaystheroleofafundamentalconstantofnature.
[edit]Geographicalspace

Geographyisthebranchofscience concernedwithidentifyingandde scribingtheEarth,utilizingspatialawarenesstotryandunderstandwhythingloveistinspecificlocations.Cartographyisthemappingofspacestoallowbetternavigation,forvisualizationpurposesandtoactasalocationaldevice.Geostatisticsapplystatisticalconceptstocollectedspatialdatatocreateanestimateforunobservedphenomena.

Geographicalspaceisoftenconsi deredasland,andcanhavearelationtoownershipusage(inwhichspaceisseenaspropertyo rterritory).Whilesomeculturesasserttheri ghtsoftheindividualintermsofo wnership,othercultureswillidentifywithacommunalapproachtolandownership,whilestillotherculturessuchasAustralianAboriginals,ratherthanassertingownershiprightstoland,inverttherelationshipandconsiderthattheyareinfactownedbytheland.Spatialplanningisamethodofregulatingtheuseofspaceatland-level,withdecisionsmadeatregional,nationalandinternationallevels.Spacecbrown townsoimpactonhumanandcultura lbehavior,beinganimportantfactorinarchitecture,whereitwillimpactonthedesignofbuildingsandstructures,andonfarming.

Ownershipofspaceisnotrestrict edtoland.Ownershipofairspacea ndofwatersisdecidedinternatio nally.Otherformsofownershipha vebeenrecentlyassertedtoother spaces—forexampletotheradiobandsoftheelectromagneticspectrumortocyberspace.

Publicspaceisatermusedtodefin eareasoflandascollectivelyown edbythecommunity,andmanagedintheirnamebydelegatedbodies;suchspacesareopentoall.Whilep rivatepropertyisthelandcultur allyownedbyanindividualorcomp any,fortheirownuseandpleasure.

Abstractspaceisatermusedingeo graphytorefertoahypotheticals pacecharacterizedbycompleteho mogeneity.Whenmodelingactivit yorbehavior,itisaconceptualtoolusedtolimitextraneousvariablessuchasterrain.
[edit]Inpsychology

Psychologistsfirstbegantostud ythewayspaceisperceivedinthem iddleofthe19thcentury.Thoseno wconcernedwithsuchstudiesrega rditasadistinctbranchofpsycho logy.Psychologistsbrown townyzingtheperceptionofspace areconcernedwithhowrecognitio nofanobject'sphysicalappearanceoritsinter actionsareperceived.

Other,morespecializedtopicsstudiedincludeamodalperceptionandobjectpermanence.Theperceptionofsurroundingsisimportantduetoitsnecessaryrelevancetosurvival,especiallywithregardstohuntingandselfpreservationaswellassimplyone'sideaofpersonalspace.

Severalspace-relatedphobiashavebeenidentified,includingagoraphobia(thefearofopenspaces),astrophobia(thefearofcelestialspace)andclaustrophobia(thefearofenclosedspaces).
[edit]Seealso
   Book:Space
WikipediaBooksarecollectionso farticlesthatcanbedownloadedo rorderedinprint.
   Wikiquotehasacollectionofquot ationsrelatedto:Space
   LookupspaceinWiktionary,thefreedictionary.

Absolutespaceandtime
Aethertheories
Cosmology
Generalrelativity
Personalspace
Shapeoftheuniverse
Spaceexploration
Spatialbrown townysis

[edit]References

^BritannicaOnlineEncyclopedia:Space
^RefertoPlato'sTimaeusintheLoebClassicalLib rary,HarvardUniversity,andtohisreflectionson:Chora/Khora.SeealsoAristotle'sPhysics,BookIV,Chapter5,onthedefinitionoftopos.ConcerningIbnal-Haytham's11thcenturyconceptionof'geometricalplace'as'spatialextension',whichisakintoDescartes'andLeibniz's17thcenturynotionsofextensio andbrown townysissitus,andhisownmathematicalrefutationofAristotle'sdefinitionoftoposinnaturalph ilosophy,referto:NaderEl-Bizri,'InDefenceoftheSovereigntyofPh ilosophy:al-Baghdadi'sCritiqueofIbnal-Haytham'sGeometrisationofPlace',ArabicSciencesandPhilosophy:AHistoricalJournal(CambridgeUniversityPress),Vol.17(2007),pp.57-80.
^FrenchandEbison,ClassicalMechanics,p.1
^Carnap,R.AnintroductiontothePhilosophyofScience
^Leibniz,FifthlettertoSamuelClarke
^Vailati,E,Leibniz&Clarke:AStudyofTheirCorrespondencep. 115
^Sklar,L,PhilosophyofPhysics,p.20
^Sklar,L,PhilosophyofPhysics,p.21
^Sklar,L,PhilosophyofPhysics,p.22
^Newton'sbucket
^Carnap,R,Anintroductiontothephilosophyofscience,p.177-178
^Lucas,JohnRandolph.Space,TimeandCausality.p.149.ISBN0198750579.
^Carnap,R,Anintroductiontothephilosophyofscience,p.126
^Carnap,R,Anintroductiontothephilosophyofscience,p.134-136
^Jammer,M,ConceptsofSpace,p.165
^Amediumwithavariableindexofrefractioncouldalsobeusedtobendthepathoflightandagaindeceivethescientistsiftheyattempttouselighttomapouttheirgeometry
^Carnap,R,Anintroductiontothephilosophyofscience,p.148
^Sklar,L,PhilosophyofPhysics,p.57
^Sklar,L,PhilsosophyofPhysics,p.43
^chapters8and9-JohnA.Wheeler"AJourneyIntoGravityandSpaceti me"ScientificAmericanISBN0-7167-6034-7

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Minecraftisasandboxbuildingin dievideogamewritteninJavaorig inallybySwedishcreatorMarkus"Notch"Perssonandnow byhiscompany,Mojang,formedfromthe proceedsof thegame.ItwasreleasedonMay17,2009,withaBetaonDecember20, 2010.OfficialreleasesforiOSan dAndroidarecurrentlyindevelop menttobereleasedlaterin2011al ongwithafullversionofthe game;theAndroidreleasewillbetempor arilyexclusivetotheXperiaPlay .Aversionof thegamefortheXbox360withKinec t supportisunderdevelopmentby4J Studios.

Hi_guys,_am_I_doin'_it_right?

MinecraftisasandboxbuildingindievideogamewritteninJavaoriginallybySwedishcreatorMarkus"Notch"Perssonandnow byhiscompany,Mojang,formedfromthe proceedsof thegame.ItwasreleasedonMay17,2009,withaBetaonDecember20, 2010.OfficialreleasesforiOSan dAndroidarecurrentlyindevelop menttobereleasedlaterin2011al ongwithafullversionofthe game;theAndroidreleasewillbetempor arilyexclusivetotheXperiaPlay .Aversionof thegamefortheXbox360withKinec t supportisunderdevelopmentby4J Studios.

:O

Shouldthisbelocked?Maybe,butmaybenotsinceI'mactuallyplayingthethreadauth or'sgame.

Thissentencedoesn'thaveanyspacesinit.


blocklandismandebybadspotandi tdosentincludecake.Becausecak eisalie.somepeoplesayitisntbe causeitisfromPortal2anditisal ieWTF.thisposthasnospacesatal lsothatswhyimpostinginthistop ic.thistopicispointlessbutyet itisfun.ilikewallsoftext.this dosentmakesencsinsomanyways.y oucannotreadthissotherewasnta nypointofreplyinginthistopic. ihostservers.

MinecraftisasandboxbuildingindievideogamewritteninJavaoriginallybySwedishcreatorMarkus"Notch"Perssonandnow byhiscompany,Mojang,formedfromthe proceedsof thegame.ItwasreleasedonMay17,2009,withaBetaonDecember20, 2010.OfficialreleasesforiOSandAndroidarecurrentlyindevelopmenttobereleasedlaterin2011alongwithafullversionofthe game;theAndroidreleasewillbetempor arilyexclusivetotheXperiaPlay .Aversionof thegamefortheXbox360withKinec t supportisunderdevelopmentby4J Studios.

« Last Edit: June 19, 2011, 01:12:51 PM by K3k0m@n »

I_think_I'll_be_like_all_the_other_douc hebags_here_and_talk_using_un derscores_in_place_of_spaces.

"_____--The Final Frontier"
"In _____, no one can hear you scream!"

The

forget

is

going

on

in

this

thread.

Idrewmyownavatar.It'soriginallyfromafathersdaycar dIdrewtoday.YoucanseeitHERE.