Relativistic velocity transformation as a genitor of transformation equations (relativistic.pdf

1 R e l at i vi s t i c ve l oc i t y t r an s f or m at i o n as a ge n i t or of t r an s f or m at i on e q u a t i on s ( r e l at i vi s t i c d yn am i c s ) B e r n h ar d R ot h e n s t e i n P ol i t e h n i c a U n i ve r s i t y T i m i s oar a P h ys i c s D e p ar t m e n t T i m i s oar a R om an i a A bs t r ac t . T he f undam e nt al e quat i ons of r e l at i v i s t i c dy nam i c s ar e de r i v e d f r om a t hought e x pe r i m e nt and f r om t he t r ans f or m at i on of r e l at i v i s t i c v e l oc i t y av oi di ng c ol l i s i ons and c ons e r v at i on l aw s of m om e nt um and e ne r gy . 1. I n t r od u c t i on T hought e xpe r i m e nt s a r e a n a nt i dot e f or c ount e r i nt ui t i ve e f f e c t s a s s oc i a t e d w i t h s p e c i a l r e l a t i vi t y. P hys i c i s t s c onc e i ve t h e m i n or de r t o pr ove t he r e a l i t y of t he t i m e di l a t i on a nd l e ngt h c ont r a c t i on r e l a t i vi s t i c e f f e c t s , i nvoki ng t he pr i nc i pl e of r e l a t i vi t y. T hought e xpe r i m e nt s a nd t h e pr i nc i pl e of r e l a t i vi t y l e a d t o t he r e l a t i vi s t i c ve l o c i t y t r a ns f or m a t i on, w i t hout us i ng t he L o r e nt z - E i ns t e i n t r a ns f or m a t i ons . 1 , 2 , 3 , 4 , 5 T he pur pos e of our pa pe r i s t o d e r i ve t r a ns f or