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1、MathematicalTheoryOfSpace-TimeChun-Xuan.JiangChinaAerospaceScienceAndTechnologyCorporationP.O.Box142-206,Beijing100854,P.R.Chinajl36211668701AbstractUsingspace-timeringweestablishthemathematicaltheoryofspace-time.Usingtwomethodswededucethenewgravitationalformula.Tardyonicrotatingmotionproducesthecen
2、trifugalforce,buttachyonicrotatingmotionproducesthecentripetalforce,thatisgravity.Usingitweestablishtheexpansiontheoryoftheuniverseandsuggestthenewuniversemodel.Weprovethatintheuniversetherearenodarkmatterandnodarkenergy.Newgravitationalformulachangesallthat.Multiverseandgravitationalwavesdonotexist
3、.Theoryofeverythinghasthetwoforces:(1)thesubluminalforce(electromagnetismandweakforce)and(2)Superluminalfbrce(gravityandstrongfbrce).Bellconjectureiswrong.Thequantumentanglementsandnon-localityareunobservable,onlythegravitonicandtachyonicentanglements,butnoelectronicandphotonicentanglements.Keywords
4、:newgravitationalformula,expansiontheoryofuniverse,newuniversemodel.PACS:04.90.+e,98.80.-k.1.MathematicalTheoryofSpace-TimeThroughouthistory,thenotionofspaceandtimehasundergoneanumberofdramatictransformation,thankstofiguresrangingfromAristotle,LeibnizandNewtontoGauss,PoincareandEinstein.Inthepresent
5、understandingofnature,spaceandtimeformasingleentitycalledspace-time.In1975Jianghasestablishedthemathematicaltheoryofspace-timewithSASC.Thistheoryplaysakeyrolefortheentirefieldofphysicstounlockthedeepestmysteriesoftheuniverse.IntheUniversetherearetwomatters:(I)observablesubluminalmattercalledIardyon(
6、Iocality)and(2)unobservablesuperluminalmattercalledtachyon(non-Iocality)whichcoexistinmotion.Tachyoncanbeconvertedintotardyon,andviceversa.Tardyonicrotatingmotionproducesthecentrifugalforce,buttachyonicrotatingmotionproducesthecentripetalforce,thatisgravity.Usingtardyonicandtachyoniccoexistenceprinc
7、iplewededucethenewgravitationalformula,Forestablishingthemathematicaltheoryofspace-time.wefirstdefinespace-timeringl,l(ctxZ=Lctrct+jxwherexandtarethetardyonicspaceandtimecoordinates,Cislightvelocityinvacuum,(O1(1)canbewrittenasEuIerformZ=CTo/=CTo(Ch。+/She),(2)whereCt0isthetardyonicinvariance,tardyon
8、ichyperbolicalangle.From(1)and(2)wehaveCf=%ChaX=Ct0sh(3)Ct0=y(ct)2-x2.(4)From(3)wehave=th1=th1(5)ctcwherecuisthetardyonicvelocity.Usingthemorphismj:ZTjz,wehavejz=元+jetX(iej=x0(chsh6),(6)whereXandiarethetachyonicspaceandtimecoordinates,X0istachyonicinvariance,tachyonichyperbolicalangle.From(6)wehaveJ
9、=x0ch,Cf=MoShe.(7)元O=Ji，一(Cf)2(8)From(7)wehave=th-1=th1-(9)xuwhereucisthetachyonicvelocity.Figure1showstheformulas(1)-(9).j：ZfjZisthattardyoncanbeconvertedintotachyon,butJ:jzzisthattachyoncanbeconvertedintotardyon.w=0M=cisthepositiveacceleration,but万=8f瓦=cisthenegativeacceleration,whichcoexist.Atthe
10、ct-axisu=0andx=0wedefinethetardyonicresttimet.AtthexaxiswedefinethetachyonicrestspaceX0=11mwr=constant(10)ur0Sinceatrestthetachyonicresttimef=0andi7=oo,weprovethattachyonisunobservable.Fig.land(10)aremathematicaltheoryofspace-time,whicharethefoundationsofphysicsandcosmology.Usingitweprovethatdarkmai
11、ler,darkenergy,gravitationalwaves，blackholesdonotexist,quantumentanglementandquantumcomputersareunobservable,onlythegravitonicandtachyonicentanglements,butnoelectronicandphotonicentanglements.FromFig.lwededucenewgravitationalformula.AnC22.NewGravitationalFormula:F=nodarkmatterRAssume=、from(5)and(9)w
12、egetthetardyonicandtachyoniccoexistenceprinciplel-4J0uu=c2.(11)Usingtheanalyticalmethodwededucethenewgravitationalformula.Differentiating(11)bythetime,wegetdu(cdu=dtWdfandcancoexistinmotion,buttheirdirectionsareopposite.dtdtWestudythetardyonicandtachyonicrotatingmotions.In1673Huygensdiscoveredthatth
13、etardyonicrotationproducescentripetalacceleration(13)(14)dudtwhereRisrotatingradius.Substituting(13)into(12)wehavethetachyoniccentrifugalaccelerationdudt(13)and(14)havethesameform.From(13)wegetthetardyoniccentrifugalforceF=(15)RwhereMistheinertialmass.From(14)wegetthetachyoniccentripetalforce,thatis
14、gravity2F=-,(16)RwheremisthegravitationalmassconvertedintobytachyonicmassIn.(15)and(16)havethesameform.(16)isthenewgravitationalformula.Usingthegeometricalmethodwededucethenewgravitationalformula.Figure2showsthattherotationcoofbodyAemitstachyonmassin,whichformsthetachyonandgravitationfieldandgivesth
15、ebodyBrevolutionsuandu.WVAFig.2.OnbodyBtheanddtdFromFig.2.itfollowsUAt_mRuFrom(17)itfollowsthetardyoncentripetalaccelerationontdu.w=Iim=dtFromFig.2.itfollowsut_i-F-TFrom(19)and(11)itfollowsthetachyoncentrifugalaccelerdu1.min=Iim=dtzOnbodyBtheandcoexistence.dtdtFrom(18)itfollowsthetardyoncentrifugalforceonbodyM/F-丁，whereMBisbodyBmass.UU7coexistencet.(17)hebodyB2-4J,Y.(18)R-.(19)ationonthebodyB2-4,一9/Lz-=.(20)?R3L2-4,(21)From(20)itfollowsthetachyoncentripetalforceonbodyB
