Special Relativity Being from Misunderstanding of Principle of Constant Speed of Light
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1 Speial Relaii Being from Misundersanding of riniple of Consan Speed of Ligh Li ifeng Yanshan Uniersi Qinhuangdao Hebei China Absra Inrodues basi hpoheses and basi iewpoin of spae-ime in speial relaii. Anales deriaion proesses and quesions of Loren ransformaion. Maes deriaion of ransformaion beween wo oordinae ssems whih moing uniforml along beeline one o anoher. Finds ha speial relaii based upon Loren ransformaion is no orre and relaie speed beween wo objes ma be faser han speed of ligh. Kewords Speial relaii Misundersanding Fas han ligh. Inroduion Speial relaii has been esablished for a enur. Speial relaii and is auhor Alber Einsein are well nown. Speial relaii is a uniersi ourse ha sudens mus sud. Bu he raionali of esablishing proess and onlusions of speial relaii are sill under suspiion. This paper inrodues basi hpoheses and iewpoin of spae-ime in speial relaii simpl anale deriaion proesses and quesions of Loren ransformaion maes deriaion of ransformaion beween wo oordinae ssems moing uniforml along beeline one o anoher finds ha speial relaii based upon Loren ransformaion is no orre and relaie speed beween wo objes ma be faser han speed of ligh.. Summarie of Speial Relaii. Basi hpoheses in speial relaii ( riniple of relaii. For desribing he whole laws of moing all inerial oordinae ssems moing uniforml along beeline one o anoher are equal. ( riniple of onsan speed of ligh. Speed of ligh in auum measured in all inerial oordinae ssems moing uniforml along beeline one o anoher are equal.. Loren ransformaion Y Y O O Two oordinae ssems K and K (OY and O Y Fig Coordinae ssem eer ais parallels one o he oher respeiel moe uniforml along beeline one o he oher speed of K is respe o K along -ais. Time oun sars when O and O a he same poin.
2 Use ( desribe an een appeared in K a ime he same een appeared in K is ( a ime. Time-spae oordinae ( and ( whih desribe he same een are of Loren ransformaion..(....( In whih is speed of ligh. Deriaion of Loren ransformaion is as follows. For he poin of O 0 obsered in K all he ime; bu obsered in K a ime i. 0. Thus i an be seen ha and beame ero a he same ime for he poin. Then le ha here is a dire raio beween and all he ime and le he dire raio is (.. (3 Sud poin O using he same mehod (. (4 Based upon priniple of relaii K is equal o K. The wo equaions aboe mus be of he same form. mus be equal o..(5 Thus (.. (6 To finish he ransformaion onsan mus be gien. Based upon priniple of onsan speed of ligh if ligh signal go alone O when O and O a he same poin ( 0 a an ime ( in K posiions a hese wo oordinae ssems are as follows respeiel. (7 Subsiue equaion (7 ino he produ of Equaion (3 and equaion (6.(8 Subsiue equaion (8 ino (3 and (4
3 .3 Viewpoins of spae-ime in speial relaii Based upon Loren ransformaion speial relaii finds ou: ( Quesion of simulanei. If wo eens appear a wo poins in a oordinae ssem snhronousl imes ha hese wo eens appear measured in anoher oordinae ssem are no equal. ( Quesion of onraion in lengh. In a oordinae ssem be of relaie speed he lengh of an obje measured along he speed direion of he ssem is shorer han ha measured in anoher oordinae ssem in whih he obje is a res. (3 Quesion of eend of ime. The ime measured in a oordinae ssem being of relaie speed wih he plae an een appears is longer han ha measured in anoher oordinae ssem in whih he plae is a res..4 Dnamis of speial relaii ( Mass of an obje measured in oordinae ssem being of relaie speed wih he obje is larger han ha measured in anoher oordinae ssem in whih he obje is a res. ( Energ of an obje equals is mass mulipl square of ligh speed. 3. Some Misaes in Speial Relaii 3. Wrong omprehending priniple of onsan speed of ligh. riniple of onsan speed of ligh an be eplained as follows. ( For lighs in auum radiaed from lamp-houses ha are fied on an inerial oordinae ssems measured speeds of hese lighs relaie o heir lamp-houses (or oordinae ssems respeiel are equal. ( For ligh in auum radiaed from a definie lamp-house ligh speeds measured in oordinae ssems moing uniforml along beeline one o anoher are equal. Loren ransformaion eplains priniple of onsan speed of ligh as ha for ligh in auum radiaed from a definie lamp-house ligh speeds relaie o an oordinaes ssem are he same. This is wrong. This negles relaie moemens beween oordinae ssems. 3. Coordinae in moing direion of Loren ransformaion is 00 In 0. Thus Wrong deriaion of equaions In Y Y 0. Thus 0 O A O A Fig Coordinae ssem 3.3. Desripion of an een replaing desripion of anoher een. Equaion(3~equaion(6 desribe poin O in wo oordinae ssems. Equaion (7 desribes posiions of wo phoons radiaed from lamp-houses fied on wo oordinae ssems a origins respeiel no posiions of one phoon. B subsiuion of equaion (7 ino equaion (3~(6 desripion of an een replaes desripion of anoher een. Subsiuion misae ours. Depend upon equaion (7 in OY of Fig. a phoon sars form poin O a ime 0 arries a poin A a ime ; in O Y anoher phoon sars form poin O a ime 0 arries a poin A a ime. I is obiousl ha hese are wo eens of wo 3
4 phoons respeiel. This is more lear if hese wo origins do no a he same poin haing original displaemen S when ime 0 Fig.3. Y Y S O A O A Fig.3 Coordinae ssem 3 Le s follows deriaion of Loren ransformaion. Two oordinae ssems K and K (OY and O Y eer ais parallels one o he oher respeiel moe uniforml along beeline one o he oher speed of K is respe o K along -ais. Time oun sars when O is S from O in righ direion. For he poin of O 0 obsered in K all he ime; bu S obsered in K a ime i. S 0. Thus i an be seen ha and S beame ero a he same ime for he poin. Then le ha here is a dire raio beween and all he ime and le he dire raio is Sud poin O using he same mehod ( S (3a ( S (4a Based upon priniple of relaii K is equal o K. The wo equaions aboe mus be of he same form. So mus be equal o..(5a Thus ( S (6a To finish he ransformaion onsan mus be gien. Absurdi. Based upon priniple of onsan speed of ligh if ligh signal go alone O when O and O a he same poin ( 0 a an ime ( in K posiions a hese wo oordinae ssems are as follows respeiel (7a I is eiden ha hese are wo eens of wo lamp-houses. Subsiue equaion (7a ino he produ of Equaion (3a and equaion (6a ( S( S ( S( S an no be soled. Absurdi. Based upon priniple of onsan speed of ligh if ligh signal go alone O when O and O a he same poin ( 0 a an ime ( in K posiions a hese wo oordinae ssems are as follows respeiel S.. (7b I is eiden ha hese are wo eens of wo lamp-houses. 4
5 Subsiue equaion (7b ino he produ of Equaion (3a and equaion (6a ( S ( S( S an no be soled Dire ransformaion is no equal o indire ransformaion ( S( S Y Y Y" O O u " " O" " " " Three oordinae ssems K K and K " (OY O Y and O " " Y" " respeiel moe uniforml along beeline one o anoher speed of K is respe o K along -ais speed of " K along -ais. Time oun sars when O O and O" a he same poin. Dire ransformaion from K o K " Indire ransformaion from K o K" ia K " " u u Fig.4 Coordinae ssem 4 ( u 5 u u ( ( u u eer ais parallels one o anoher K is u respe o....(9..(0 I is eiden ha equaion (9 is no equal o equaion ( Relaie speed beween wo objes an no reah nor eeed ligh speed The proess of deriaion does no suppose ha relaie speed beween wo objes is smaller han ligh speed bu he resul is ha relaie speed beween wo objes an no reah nor eeed ligh speed. Loren ransformaion is self-onradiion. Now asronom obseraions find ha man planes moe apar faser han ligh speed. If priniple of onsan speed of ligh is subsiue b priniple of onsan speed of sound: Speeds of sound in a maerial a definie ondiion measured in all inerial oordinae ssems moing uniforml along beeline one o anoher are equal. Subsiue sound signal for ligh signal sound speed for ligh speed in deriaion of equaion. The onlusion is ha speed of an obje should no eeed sound speed. This is absurdi eidenl. Speed of bulle eeeds sound speed. Speed of airraf an eeed sound speed. eople use ees hrough ligh o obsere he world. Bas use ears hrough sound o obsere he world. If eople hin ha relaie speed beween wo objes an no reah nor eeed ligh speed bas hin ha relaie speed beween wo objes an no reah nor eeed sound speed. 3.5 There is aninom beween quesion of onraion in lengh and priniple of relaii From quesion of onraion in lengh i an be onluded ha if a sphere is fied in a oordinae ssem his sphere obsered in anoher oordinae ssem moing uniforml along beeline respe o he ssem is ellipsoid; if he relaie speed equals ligh speed
6 sphere beomes irle hanges from 3-dimensions o -dimensions. There is aninom beween quesion of onraion in lengh and priniple of relaii. 4. Corre Transformaion 4. Re-esablish ransformaion To finish he ransformaion onsan mus be gien. Based upon priniple of onsan speed of ligh if ligh signal go alone O when O and O a he same poin ( 0 a an ime ( in K posiions a hese wo oordinae ssems are as follows respeiel.. ( Subsiue equaion ( ino he produ of Equaion (3 and equaion (6.. ( Subsiue equaion ( ino (3 and (4 There is no ligh speed in i. 4. Equaion ( aords wih onsan speed of ligh in.. (3 OA In Fig. phoon sars from O a ime 0 arries A a ime hen is speed in OY is OA ( A ( O ( ( O Y is. This aords wih onsan speed of ligh. ; is speed 4.3 Deduion Speial relaii based upon Loren ransformaion is no orre. As pars of speial relaii quesion of simulanei quesion of onraion in lengh quesion of eend of ime quesion of mass inrease quesion of res energ and quesion of ligh speed are all no orre. 5. Conlusions ( Speial relaii is from misundersanding of priniple of onsan speed of ligh. ( Speial relaii based upon Loren ransformaion is no orre. (3 Desripions of a definie een in all inerial oordinae ssems moing uniforml along beeline one o anoher are equal. (4 Relaie speed beween wo objes ma eeed ligh speed. Referenes [] Cheng Shuohu Jiang hiong. General phsis. Beijing: eople s Eduaion ress 978: 3~54 [] M. Bonn. Einsein s relaii. Shijiahuang: Hebei eople ress98: 49~64 Auhors Biographies Li ifeng is a professor of Yanshan Uniersi China Vie-Direor of Youh Diision of Beijing Relaii Theor Researh Federaion and member of Maer Regulari Ediorial Commiee SE member and a member of eroleum Soie of Canada. Before joining Yanshan Uniersi he was firs a professor of Daqing eroleum Insiue and hen a professor of China Uniersi of Geosienes. He has published 70 papers and 4 boos on drill sring asing rod pumping mehanis & well bore sabili. He holds a BS degree in drilling engineering and an MS degree in mahiner engineering from Daqing eroleum Insiue and a hd degree in peroleum deelopmen engineering from eroleum Uniersi China. 6
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