New View of Relativity Theory

Transcription

1 Journal of Phyic: Conference Serie OPEN ACCESS New View of Relaiiy Theory To cie hi aricle: Luiz Cear Marini 4 J Phy: Conf Ser 495 View he aricle online for updae enhancemen Relaed conen - The Space-Time Model According o Dimenional Coninuou Space-Time Theory Luiz Cear Marini - The New Big Bang Theory according o Dimenional Coninuou Space-Time Theory Luiz Cear Marini - Inroducing he Dimenional Coninuou Space-Time Theory Luiz Cear Marini Recen ciaion - Alere aux conférence prédarice! Daniel Bloch Thi conen wa downloaded from IP addre on /3/9 a 6:47

2 New View of Relaiiy Theory Luiz Cear Marini Elecrical Compuing Engineering Faculy Unieriy of Campina - Brazil marini@decomfeeunicampbr Abrac Thi aricle reul from Inroducing he Dimenional Coninuou Space-Time Theory ha wa publihed in reference The Dimenional Coninuou Space-Time Theory how a erie of fac relaie o maer, energy, pace conclude ha empy pace i inelaic, aboluely aionary, moionle, perpeual, wihou poibiliy of deformaion neiher can i be deroyed or creaed A elemenary cell of empy pace or a cerain amoun of empy pace can be occupied by any quaniy of energy or maer wihou any aleraion or deformaion A a conequence of hee properie being a inegral par of he heory, he principle of Relaiiy Theory mu be changed o become imple inuiie Inroducion The famou Lorenz ranformaion relaing he coordinae of pace ime ha coniue he bae of relaiiy heory preie he pace ime dilaaion [3] The ime dilaaion in fac exi bu he pace dilaaion i no conemplaed in hi New View of he Relaiiy Theory The Lorenz ranformaion lead o a pace conracion in fron of a mobile objec wih peed a pace dilaaion behind hi ame objec In he New View of Relaiiy Theory, he dilaaion pace effec doe no exi In he New View of he Relaiiy Theory i i no poible ha he diance hae ome conracion or dilaaion wih he change of he referenial Alo according o he New View of Relaiiy Theory here i no diincion beween inerial acceleraed referenial In hi New View of he Relaiiy Theory he empy pace i he abolue referenial which he origin poin would be fixed in he cener of he Big-Bang Howeer he exience of an abolue referenial doe no inerfere in he Relaiiy Principle [4][5] Poulae in he New View of he Relaiiy Theory Poulae: Generalizaion of he Einein Poulae: The Ligh Speed in he empy pace i almo he ame o he inerial acceleraed referenial Inariance pace poulae: The pace i undeformable alway he ame The roue in eery referenial i alway he ame Conen from hi work may be ued under he erm of he Creaie Common Aribuion 3 licence Any furher diribuion of hi work mu mainain aribuion o he auhor() he ile of he work, journal ciaion DOI Publihed under licence by Ld

3 Abolue Referenial Poulae: Inide he Uniere here i an abolue referenial Thi referenial i in all par of he uniere i fixed inide he empy pace which i oally aionary, inarian, perpeual undeformable wihou he poibiliy of moemen of i aboluely aionary poiion Any empy pace poin can be fixed a an abolue referenial A aionary origin of he abolue referenial can cerainly be found in he Big-Bang cener The Ligh peed he lengh of he pace e he ime relaion in eery referenial Primary relaion beween he abolue referenial a referenial moing wih peed relaie o he abolue referenial Conidering he imple cae of a mobile objec moing a elociy inide he empy pace Fixing wo referenial, he fir one i abolue in he empy pace he oher one i fixed a peed relaie o he empy pace To eablih he ime relaion beween hee wo referenial i i neceary o ge a moing poin a he peed of ligh A hi poin i moing a he peed of ligh uing he Einein Relaiiy Principle i elociy i he ame in all referenial he poin will be able o e he ime relaion beween he wo referencial To ge a beer comprehenion uppoe a poin in he empy pace From hi poin wo mobile objec will rael, he fir one a peed he econd one a he peed of ligh c In he abolue referenial he mobile objec a he peed of ligh run a lengh gien by c ; i he ime ino he abolue referenial In hi ame abolue referenial hi poin will be dian from he referenial fixed a he peed by a diance gien by c In he New View of he Relaiiy Theory, uing he poulae of he inariance pace ino he referenial fixed in peed he diance i he ame a he abolue referenial c c In hi cae i he ime ha he poin a he ligh peed will be aking o moe he diance in he referenial fixed a he peed So he relaion beween will be gien by c 3 Time inananeiy, Lorenz Facor he independence of he abolue referenial Conidering wo referenial, he fir one a peed he oher one a peed; boh relaie o he abolue referenial To eablih a ime relaion beween he wo referenial i mu be conidered a poin moing a ligh peed during an ineral ime ino he abolue referenial Conidering he ime pen by he objec a ligh peed o run he lengh in he referenial fixed a, conidering pen by he objec a ligh peed o run he lengh in he referenial fixed a, he ime c c Conidering he ime pen in he abolue referenial, Than c o c () () (3) (4)

4 c c in he abolue referenial here i ime inananeiy bu here i no inananeiy beween Thi iuaion occur becaue i differen han, o To make, differen from each oher Making ha, han i differen han mu be equal In hi cae he ime in he abolue referenial will be c c in hi cae i i poible o obain inananeiy beween, bu no beween To obain ime inananeiy in eery referenial, muliplie he equaion: afer Geing he relaion: concluding: c c c The aboe equaion mu be he relaion beween ime wih module peed referenial ime in he abolue referenial The mu be no confuion beween or wih or wih,,, are ime pen by an objec a ligh peed o run cerain diance according o i own referenial On he oher h are he ime in i own referenial The explanaion of hi relaion beween i juified in he Dimenional Coninuou Space-Time Theory becaue he ime i ranere o he mobile moemen i i caued by he relaion beween ime pace (5) (6) (7) (8) (9) () () () 3

5 3 The Relaiiy Principle i aified i i no neceary o conider he abolue referenial The abolue referenial i only neceary o find he ime of he Uniere no he maer ime relaiely o i own referenial The Uniere ime i he empy pace ime i i he one ha run faer han ime relaie o he oher referenial Conidering one referenial fixed a peed oher one a peed boh relaie o abolue referenial On he bae of he referenial here will be c (3) c Conidering he referenial fixed on he peed The queion i how o deerminae he peed of he mobile objec a peed relaie o he referenial fixed a To ole hi queion i i neceary o find he lengh muliplying he wo equaion: doing (4) (5) (6) (7) The lengh will be: So mu aify o c (8) (9) c Therefore he wo equaion below mu be aified () c c () 4

6 c From he la equaion i eay o how he equaliy beween equaion ha () c c (3) 4 Soluion of he elecromagneim law in all inerial referenial In he 3h chaper of he reference i preened a equialence oluion of he elecroaic elecromagneic force beween inerial referenial uing he Special Relaiiy Theory In he Feynman Book [] here i an q elemenary moing charge running o he righ wih peed in parallel wih a conducing wire wih negaie charge moing o he righ howeer wih peed So he conenional elecric curren charge i moing wih peed o lef he diance from he q charge o he wire i r In he Feynman book hown ha here i no elecroaic force in he fixed referenial on he aionary wire, bu here i a magneic force in acion on he q charge where c F 4 c Feynman analyzed he paricular cae when qa r obaining (4) I i known ha F q B, where B i F q A r c (5) A B 4 c r In he referenial fixed in he aionary wire here i no elecroaic field becaue he negaie moing charge inide he wire are neuralized by he poiie charge of he aomic rucure of he wire For he referenial fixed on he q charge here Will be no magneic field becaue in hi referenial he charge peed i o F q B On he oher h, uing he relaiiy heory he Feynman book how ha here will appear he elecroaic force gien by F F F c where F i he magneic force when he referenial i he aionary wire The New View of he Relaiiy Theory will how ha F F (6) (7) (8) 5

7 The Lorenz Facor doe no appear in he aboe equaion I Will be demonraed ha aboe reul beween force i alo alid when i differen han Thee reul hae grea imporance becaue he New View of he Relaiiy Theory change ome idea abou he Relaiiy Theory eg he lengh of a way i no elaic i remain he ame independenly of he referenial, only he elaped ime change wih he referenial The relaion beween he ime fixed on he aionary wire he ime fixed on he peed of he moing charge q i conrolled by he ligh peed he lengh way 4 Deeloping compuaion uing de new iew of Relaiiy Theory Analyzing he ame iuaion in he Feynman book uing now de New View of he Relaiiy Theory The ime he lengh coure raeled by he q charge are relaed by q q The ime fixed on he moing q charge can be found uing a poin raeling a c ligh peed he lengh way In he fixed wire referenial he lengh way beween he poin a ligh peed from he poin a peed i c The ame pace in he q charge referenial i c i will be found ha c On he oher h here i no poin raeling a c peed There are only poiie negaie charge in he wire, he charge q ouide he wire, raeling in parallel wih he wire The common poin in boh referenial i he q charge I will be neceary o fix a poin a c elociy aboe he q charge So he ime in he aionary wire referenial o a poin raeling a ligh peed on he q charge ha a lengh : c he ime in he ame aionary referenial wire i correponding o he q charge a peed i (9) han (3) Now conidering he charge wih peed inide he wire he ame wire referenial The diance beween a poin a c ligh peed a poin fixed in a charge inide he wire a peed i c The ame lengh in he fixed referenial i c han c c c Now conidering he poiie charge inide he wire a peed relaie o he q charge moing wih c peed So he pace lengh will be c c c To he poiie charge relaie o he q charge referenial i i done c c Then (3) (3) 6

8 c c c he q charge hen c, i he elaped ime of he moing poiie charge relaie o Now all i i prepared o compue he calculaion ha reul on he force F In wo referenial he poiie charge negaie charge will be conered e To he aionary wire referenial he curren of negaie charge i i A he curren of poiie charge i i p Ino he fixed q charge referenial here will be i e dq e A he area he lengh are he ame in boh referenial here will be i e d dl A d c c The charge i ariaion mu be preered becaue compreing or exping he ime more or le charge goe hrough he cro ecion bu he ariaion charge remain he ame d q I mean ha incremenal charge mu be differen dqe i differen han dqe e dq d d dl d d q d (33) d q d q c c So he negaie deniy of he charge in he referenial i (34) c c The poiie charge relaie o he wire referenial will be reing i ime ariaion i zero Relaie o he fixed referenial on he q charge, he poiie charge are moing Thi i a conecion curren In hi cae will be geing where a A l are he ame i p i p dq p d ( A l ) d d d c d dl A c d Conidering he conecion curren equal o ip curren The charge conribuion on he fixed q referenial will be c d q d q d q ha reul p e (35) (36) (37) (38) 7

9 dq c c The elecroaic force F ha exi in he fixed q referenial now can be compued by he ame procedure ued in hi chaper where Tha i k 4 F k q A r c F (4) If he q charge i negaie he force will be an aracion force If he negaie charge inide he wire goe o he lef i can be hown ha he force i a repulion force 5 Acceleraed referenial Conidering he ame cae in he Feynman book, bu he charge q will be wih a acceleraion: a running o he righ The diance beween he charge he conducion wire i r The negaie charge inide he wire ha peed o he righ In he fixed wire referenial he magneic force will be conidering A i he cro ecion area of he wire The pace lengh will be k a F A q c r a, o he fixed referenial a F (39) (4) conan (4) peed, i will be fixed again he poin a c peed on he moing q charge So, o he fixed q charge referenial he ame conidered poin wih c peed c a hen c c c, conidering ha i he ime fixed on he aionary wire referenial Conidering ha i he ime on he referenial fixed in he a peed of he q charge o a a c c c c a a c c (43) (44) The elecric curren will be i dq e bu d a a d d d c c So he deniie poiie negaie of he charge will be a c (45) (46) 8

10 hen a a c c (47) ha reul (48) o i will ge ha a c (49) Aq a F k F r c (5) 6 Concluion Baed in he Dimenional Coninuou Space-Time Theory ha how he empy pace i inarian, hi neceary New View of The Relaiiy Theory i preened In hi aricle here were many concluion: I wa hown ha he New View of The Relaiiy Theory he ime elaiciy i conered bu he empy pace elaiciy i no conered reuling he inalidaion of he Lorenz ranformaion Baed in he lengh coneraion he ligh peed coneraion i wa demonraed ha he elecromagneim law are conered in all referenial including he acceleraed one I wa hown ha he elecroaic force F in he q charge referenial ha he ame ineniy of he magneic force in he aionary wire referenial i poible o find F when i differen from Finally i wa demonraed ha he New View of The Relaiiy Theory i alid for inerial acceleraed referenial 7 Reference [] Marini L, 3, Inroducing he Dimenional Coninuou Space-Time Theory, Journal of Phyic: Conference Serie, Volume 43, conference, 3,Publihed online: April, 3, hp://iopcienceioporg/ /43/ [] Feyman R, 977, The Feynman Lecure on Phyic, Addion-Weley, Vol II, Cap 3 [3] Rainich GY, 95, Elecrodynamic in he General Relaiiy Theory, Tranacion of he american Mahemaical Sociey, ol 7, No, pp 6-36 [4] Sewar J, 993, Adanced General Relaiiy, Cambridge Unieriy Pre [5] Einein A, 96, Relaiiy: The Special General Theory, Mehuen & Co Ld, Tranlaed: Lawon R, Trancripion: Bagen B, Einein Reference Archie, 9