THEMEASUREOFAMAN im ag W e. he Tnhtehe im m ag aeno in ntthheem iddle looks at h im sup rig h t. T he im age on th e r ig le hfttiisstsh in ner and seelefmisntaa ll ceurrvbeedcam us ier ro it rihse re sfe le ecs te wdhfartom he a re cgya li rnddsr ic aaslasurdfiasc to e rt seedtw se otr ld hotrh iz eoyn ta clo ly m . e ou Btu th teif sa th mee . maSnoho rter and seem s b ro ad er because it is reflected from a cy lind rical su rface Avere expanded or contracted in all d , and his im age ir teoco ti , o n it s . wo Iunldotbae re im mpeoasssuirbelde by h er words, all fo mreussc al teosi asu re m fi ennd th n ts ou etriefalevw are rela eroyrt ld h tiv e. in agndiAn th th eemwio rro r E in stein any body in m ovem ent is sho rtened in th e d irection of th e line of m otion w hile th e cc torradnisnvge rl tdoidn im getnhse io n sp e re ed mao in f s li tghe same. If , th e n , rse be like th e m an on thhtehreigwhto . uld be sho rt aenm ed an li ikse be th in egmcaan rr ioendthheeadlleofnt. g th Ifrohueghwsep re a ce mowviitnhgasv id e e lo wcaiy ty sahpeprwooau ch ld how Tghoetomvaenr ’s onimha is geleifntsaidpelaannedm vi i c rr eorvesres em s to him sym m etrica actu ally accom plished in o rd in ary space, a. butSwuocuhlda co tr nacnes iv fo arbm ly a l tio bnutars ev be po ss th er e sed. H is rig h ible m in ir ro arsspeaecmeso to tehfa fe ncdth as som e f fo urdicm an en nsoitonbse .

ABSTRACT

T H E M E A S U R E O F A M A N W hen th e m an in th e m idd le looks a t h im self in a curved m irro r h e sees w hat he rega rd s as a d is to r te d im age. T he im age on th e r ig h t is th in n e r and seem s ta lle r because i t is re flected from a cy lind rica l su rfac e se t u p rig h t. T he im age on th e le f t is sh o rte r and seem s b ro ad er because i t is re flected from a cy lind rica l su rface set horizontally . B u t if th e m an and his im age are m easured by scales in th e real w orld and th e m irro r world th ey come ou t th e sam e. So, too , i t would be im possible fo r us to find ou t if ev e ry th in g in th e world Avere expanded or con tracted in all d irections. In o th er words, all m easu rem en ts are re la tiv e . A cco rd in g to E in ste in any body in m ovem ent is sho rtened in th e d irection of th e line of m otion w hile th e tran sv e rse d im ension rem ains th e same. I f , th e n , a m an is being ca rried head lo n g th ro u g h space w ith a velocity ap p ro ach ing th e speed of lig h t he would be sho rtened like th e m an on th e le ft. I f he were m oving sidew ays h e would be like th e m an on th e righ t.T he m an ’s im age in a p lane m irro r seem s to h im sym m etrical b u t reversed . H is r ig h t h an d h as som ehow go t over on his le ft side an d vice versa. Such a tran sfo rm atio n as th e m irro r seem s to effect can n o t be ac tu a lly accom plished in o rd in ary space, b u t would conceivably be possible in a space of fo u r d im ensions.