,! ,e9/e9 ,!ory ( ,relativity ,a ,concise ,/atem5t by ,pr(4 ,h4,a4 ,lor5tz ( ! ,univ]sity ( ,leyd5 ,,note ,:e!r x is true or n t n m ?an twelve p]sons 9 all ! _w are able to und]/& ,e9/e9's ,!ory1 x is nev]!less a fact t !re is a con/ant dem& = in=mation ab\t ?is mu*-debat$ topic ( relativity4 ,! books publi%$ on ! subject are s te*nical t only a p]son tra9$ 9 pure physics & high] ma!matics is able to fully und]/& !m4 ,9 ord] to make a popul> explanation ( ?is f>-rea*+ !ory available1 ! pres5t book is publi%$4 ,pr(essor ,lor5tz is cr$it$ by ,e9/e9 ) %>+ ! developm5t ( 8 !ory4 ,he is d\btless bett] able ?an any o!r man--except ! au?or himself--to expla9 ?is sci5tific discov]y4 ,! publi%]s wi% to ackn[l$ge _! indebt$ness to ! ,new ,york ,times1 ,! ,review ( ,reviews & ,! ,a!naeum = c\rte\s p]mission to repr9t articles f _! pages4 ,pr(essor ,lor5tz's article appe>$ orig9ally 9 ,! ,nieuwe ,rott]dams*e ,c\rant ( ,novemb] #ai1 #aiai4 ,,introduction ,! action ( ! ,royal ,society at its meet+ 9 ,london on ,novemb] #f1 9 recogniz+ ,dr4 ,alb]t ,e9/e9's !ory ( relativity has caus$ a great /ir 9 sci5tific circles on bo? sides ( ! ,atlantic4 ,dr4 ,e9/e9 prop\nd$ 8 !ory ne>ly fifte5 ye>s ago4 ,! pres5t revival ( int]e/ 9 x is due to ! rem>kable confirmation :i* x receiv$ 9 ! report ( ! obs]vations made dur+ ! sun's eclipse ( la/ ,may to det]m9e :e!r rays ( light pass+ close to ! sun are deflect$ f _! c\rse4 ,! actual deflection ( ! rays t 0 discov]$ by ! a/ronom]s 0 precisely :at _h be5 pr$ict$ !oretically by ,e9/e9 _m ye>s s9ce4 ,?is /rik+ confirmation has l$ c]ta9 ,g]man sci5ti/s to ass]t t no sci5tific discov]y ( su* importance has be5 made s9ce ,newton's !ory ( gravitation 0 promulgat$4 ,?is sugge/ion1 h[ev]1 0 put aside by ,dr4 ,e9/e9 himself :5 he 0 int]view$ by a correspond5t ( ! ,new ,york ,times at 8 home 9 ,b]l94 ,to ?is correspond5t he express$ ! diff]5ce betwe5 8 conception & ! law ( gravitation 9 ! foll[+ t]ms3 ,please imag9e ! e>? remov$1 & 9 its place susp5d$ a box z big z a room or a :ole h\se1 & inside a man naturally float+ 9 ! c5t]1 !re be+ no =ce :atev] pull+ him4 ,imag9e1 fur!r1 ?is box be+1 by a rope or o!r contrivance1 sudd5ly j]k$ to "o side1 :i* is sci5tifically t]m$ 'dif=m motion'1 z oppos$ to 'uni=m motion4' ,! p]son w\ld !n naturally rea* bottom on ! opposite side4 ,! result w\ld consequ5tly be ! same z if he obey$ ,newton's law ( gravitation1 :ile1 9 fact1 !re is no gravitation ex]t$ :atev]1 :i* proves t dif=m motion w 9 e case produce ! same effects z gravitation4 ,i h appli$ ?is new idea to e k9d ( dif=m motion & h ?us develop$ ma!matical =mulas :i* ,i am conv9c$ give m precise results ?an ^? bas$ on ,newton's !ory4 ,newton's =mulas1 h[ev]1 are su* close approximations t x 0 difficult to f9d by obs]vation any obvi\s disagreem5t ) exp]i5ce4 ,dr4 ,e9/e91 x mu/ be rememb]$1 is a physici/ & n an a/ronom]4 ,he develop$ 8 !ory z a ma!matical =mula4 ,! confirmation ( x came f ! a/ronom]s4 ,z he himself says1 ! crucial te/ 0 suppli$ by ! la/ total sol> eclipse4 ,obs]vations !n prov$ t ! rays ( fix$ />s1 hav+ to pass close to ! sun to rea* ! e>?1 7 deflect$ ! exact am\nt dem&$ by ,e9/e9's =mulas4 ,! deflection 0 also 9 ! direction pr$ict$ by him4 ,! "q mu/ h occurr$ to _m1 :at has all ?is to d ) relativity8 ,:5 ?is qu]y 0 prop\nd$ by ! ,times correspond5t to ,dr4 ,e9/e9 he repli$ z foll[s3 ,! t]m relativity ref]s to "t & space4 ,accord+ to ,galileo & ,newton1 "t & space 7 absolute entities1 & ! mov+ sy/ems ( ! univ]se 7 dep5d5t on ?is absolute "t & space4 ,on ?is conception 0 built ! sci5ce ( me*anics4 ,! result+ =mulas suffic$ = all motions ( a sl[ nature2 x 0 f\nd1 h[ev]1 t !y w\ld n con=m to ! rapid motions app>5t 9 electrodynamics4 ,?is l$ ! ,dut* pr(essor1 ,lor5tz1 & myself to develop ! !ory ( special relativity4 ,briefly1 x disc>ds absolute "t & space & makes !m 9 e in/ance relative to mov+ sy/ems4 ,by ?is !ory all ph5om5a 9 electrodynamics1 z well z me*anics1 hi!rto irr$ucible by ! old =mulae--& !re are multitudes--7 satisfactorily expla9$4 ,till n[ x 0 believ$ t "t & space exi/$ by !mselves1 ev5 if !re 0 no?+ else--no sun1 no e>?1 no />s--:ile n[ we "k t "t & space are n ! vessel = ! univ]se1 b c\ld n exi/ at all if !re 7 no cont5ts1 namely1 no sun1 e>? & o!r cele/ial bodies4 ,?is special relativity1 =m+ ! fir/ "p ( my !ory1 relates to all sy/ems mov+ ) uni=m motion2 t is1 mov+ 9 a /raight l9e ) equal velocity4 ,gradually ,i 0 l$ to ! idea1 seem+ a v p>adox 9 sci5ce1 t x might apply equally to all mov+ sy/ems1 ev5 ( dif=m motion1 & ?us ,i develop$ ! conception ( g5]al relativity :i* =ms ! second "p ( my !ory4 ,z summ>iz$ by an ,am]ican a/ronom]1 ,pr(essor ,h5ry ,norris ,russell1 ( ,pr9ceton1 9 ! ,sci5tific ,am]ican = ,novemb] #bi1 ,e9/e9's contribution am\nts to ?is3 ,! c5tral fact :i* has be5 prov$--& :i* is ( great int]e/ & importance--is t ! natural ph5om5a involv+ gravitation & in]tia 7su* z ! motions ( ! planets7 & ! ph5om5a involv+ electricity & magnetism 7includ+ ! motion ( light7 are n indep5d5t ( "o ano!r1 b are intimately relat$1 s t bo? sets ( ph5om5a %\ld be reg>d$ z p>ts ( "o va/ sy/em1 embrac+ all ,nature4 ,! relation ( ! two is1 h[ev]1 ( su* a "* t x is p]ceptible only 9 a v few in/ances1 & !n only to ref9$ obs]vations4 ,already be=e ! w>1 ,e9/e9 _h imm5se fame among physici/s1 & among all :o are int]e/$ 9 ! philosophy ( sci5ce1 because ( 8 pr9ciple ( relativity4 ,cl]k ,maxwell _h %[n t light is electro-magnetic1 & _h r$uc$ ! :ole !ory ( electro-magnetism to a small numb] ( equations1 :i* are fundam5tal 9 all subsequ5t "w4 ,b ^! equations 7 entangl$ ) ! hypo!sis ( ! e!r1 & ) ! notion ( motion relative to ! e!r4 ,s9ce ! e!r 0 suppos$ to be at re/1 su* motion 0 indi/+ui%able f absolute motion4 ,! motion ( ! e>? relatively to ! e!r %\ld h be5 diff]5t at diff]5t po9ts ( its orbit1 & measurable ph5om5a %\ld h result$ f ?is diff]5ce4 ,b none did1 & all attempts to detect effects ( motions relative to ! e!r fail$4 ,! !ory ( relativity succe$$ 9 acc\nt+ = ?is fact4 ,b x 0 necess>y incid5tally to ?r[ ov] ! "o univ]sal "t1 & sub/itute local times atta*$ to mov+ bodies & v>y+ accord+ to _! motion4 ,! equations on :i* ! !ory ( relativity is bas$ are due to ,lor5tz1 b ,e9/e9 connect$ !m ) 8 g5]al pr9ciple1 namely1 t !re mu/ be no?+1 9 obs]vable ph5om5a1 :i* c\ld be attribut$ to absolute motion ( ! obs]v]4 ,9 or?odox ,newtonian dynamics ! pr9ciple ( relativity _h a simpl] =m1 :i* did n require ! sub/itution ( local "t = g5]al "t4 ,b x n[ appe>$ t ,newtonian dynamics is only valid :5 we conf9e ourselves to velocities mu* less ?an t ( light4 ,! :ole ,galileo-,newton sy/em ?us sank to ! level ( a fir/ approximation1 becom+ progressively less exact z ! velocities conc]n$ approa*$ t ( light4 ,e9/e9's ext5sion ( 8 pr9ciple s z to acc\nt = gravitation 0 made dur+ ! w>1 & = a consid]able p]iod our a/ronom]s 7 unable to become acqua9t$ ) x1 ow+ to ! difficulty ( obta9+ ,g]man pr9t$ matt]4 ,h[ev]1 copies ( 8 "w ultimately rea*$ ! outside _w & enabl$ p to le>n m ab\t x4 ,gravitation1 ev] s9ce ,newton1 _h rema9$ isolat$ f o!r =ces 9 nature2 v>i\s attempts _h be5 made to acc\nt = x1 b )\t success4 ,! imm5se unification effect$ by electro-magnetism app>5tly left gravitation out ( its scope4 ,x seem$ t nature _h pres5t$ a *all5ge to ! physici/s :i* none ( !m 7 able to meet4 ,at ?is po9t ,e9/e9 int]v5$ ) a hypo!sis :i*1 ap>t altoge!r f subsequ5t v]ification1 des]ves to rank z "o ( ! great monum5ts ( human g5ius4 ,aft] correct+ ,newton1 x rema9$ to correct ,euclid1 & x 0 9 t]ms ( non-,euclidean geometry t he /at$ 8 new !ory4 ,non-,euclidean geometry is a /udy ( :i* ! prim>y motive 0 logical & philosophical2 few ( its promot]s ev] dream$ t x w\ld come to be appli$ 9 physics4 ,"s ( ,euclid's axioms 7 felt to be n necess>y tru?s1 b m]e empirical laws2 9 ord] to e/abli% ?is view1 self-consi/5t geometries 7 con/ruct$ ^u assumptions o!r ?an ^? ( ,euclid4 ,9 ^! geometries ! sum ( ! angles ( a triangle is n two "r angles1 & ! dep>ture f two "r angles increases z ! size ( ! triangle increases4 ,x is (t5 said t 9 non-,euclidean geometry space has a curvature1 b ?is way ( /at+ ! matt] is mislead+1 s9ce x seems to imply a f\r? dim5sion1 :i* is n impli$ by ^! sy/ems4 ,e9/e9 supposes t space is ,euclidean :]e x is suffici5tly remote f matt]1 b t ! pres5ce ( matt] causes x to become slightly non-,euclidean--! m matt] !re is 9 ! neighborhood1 ! m space w dep>t f ,euclid4 ,by ! help ( ?is hypo!sis1 toge!r ) 8 previ\s !ory ( relativity1 he d$uces gravitation--v approximately1 b n exactly1 accord+ to ! ,newtonian law ( ! inv]se squ>e4 ,! m9ute diff]5ces betwe5 ! effects d$uc$ f 8 !ory & ^? d$uc$ f ,newton are measurable 9 c]ta9 cases4 ,!re are1 s f>1 ?ree crucial te/s ( ! relative accuracy ( ! new !ory & ! old4 7#a7 ,! p]ihelion ( ,m]cury %[s a discrepancy :i* has long puzzl$ a/ronom]s4 ,?is discrepancy is fully acc\nt$ = by ,e9/e94 ,at ! "t :5 he publi%$ 8 !ory1 ?is 0 its only exp]im5tal v]ification4 7#b7 ,mod]n physici/s 7 will+ to suppose t light might be subject to gravitation--i4e41 t a ray ( light pass+ ne> a great mass l ! sun might be deflect$ to ! ext5t to :i* a p>ticle mov+ ) ! same velocity w\ld be deflect$ accord+ to ! or?odox !ory ( gravitation4 ,b ,e9/e9's !ory requir$ t ! light %\ld be deflect$ j twice z mu* z ?is4 ,! matt] c\ld only be te/$ dur+ an eclipse among a numb] ( bright />s4 ,=tunately a peculi>ly fav\rable eclipse occurr$ la/ ye>4 ,! results ( ! obs]vations h n[ be5 publi%$1 & are f\nd to v]ify ,e9/e9's pr$iction4 ,! v]ification is n1 ( c\rse1 q exact2 ) su* delicate obs]vations t 0 n to be expect$4 ,9 "s cases ! dep>ture is consid]able4 ,b tak+ ! av]age ( ! be/ s]ies ( obs]vations1 ! deflection at ! sun's limb is f\nd to be #a4ih''1 ) a probable error ( ab\t #f p] c5t41 :]eas ! deflection calculat$ by ,e9/e9's !ory %\ld be #a4ge''4 ,x w be notic$ t ,e9/e9's !ory gave a deflection twice z l>ge z t pr$ict$ by ! or?odox !ory1 & t ! obs]v$ deflection is slightly l>g] ?an ,e9/e9 pr$ict$4 ,! discrepancy is well )9 :at might be expect$ 9 view ( ! m9ut5ess ( ! measurem5ts4 ,x is !re=e g5]ally ackn[l$g$ by a/ronom]s t ! outcome is a triumph = ,e9/e94 7#c7 ,9 ! excitem5t ( ?is s5sational v]ification1 !re has be5 a t5d5cy to ov]look ! ?ird exp]im5tal te/ to :i* ,e9/e9's !ory 0 to be subject$4 ,if 8 !ory is correct z x /&s1 !re ought1 9 a gravitational field1 to be a displacem5t ( ! l9es ( ! spectrum t[>ds ! r$4 ,no su* effect has be5 discov]$4 ,spectroscopi/s ma9ta9 t1 s f> z c be se5 at pres5t1 !re is no way ( acc\nt+ = ?is failure if ,e9/e9's !ory 9 its pres5t =m is assum$4 ,!y admit t "s comp5sat+ cause may be discov]$ to expla9 ! discrepancy1 b !y ?9k x f> m probable t ,e9/e9's !ory requires "s ess5tial modification4 ,mean:ile1 a c]ta9 susp5se ( judgm5t is call$ =4 ,! new law has be5 s amaz+ly successful 9 two ( ! ?ree te/s t !re mu/ be "s ?+ valid ab\t x1 ev5 if x is n exactly "r z yet4 ,e9/e9's !ory has ! v highe/ degree ( ae/hetic m]it3 e lov] ( ! beautiful mu/ wi% x to be true4 ,x gives a va/ unifi$ survey ( ! op]ations ( nature1 ) a te*nical simplicity 9 ! critical assumptions :i* makes ! weal? ( d$uctions a/oni%+4 ,x is a case ( an advance arriv$ at by pure !ory3 ! :ole effect ( ,e9/e9's "w is to make physics m philosophical 79 a good s5se71 & to re/ore "s ( t intellectual unity :i* belong$ to ! great sci5tific sy/ems ( ! sev5te5? & eighte5? c5turies1 b :i* 0 lo/ ?r\gh increas+ specialization & ! ov]:elm+ mass ( detail$ k4 ,9 "s ways our age is n a good "o to live 91 b = ^? :o are int]e/$ 9 physics !re are great comp5sations4 ,,! ,,e9/e9 ,,!ory ,,( ,,relativity ,a ,concise ,/atem5t by ,pr(4 ,h4 ,a4 ,lor5tz1 ( ! ,univ]sity ( ,leyd5 ,! total eclipse ( ! sun ( ,may #bi1 result$ 9 a /rik+ confirmation ( ! new !ory ( ! univ]sal attractive p[] ( gravitation develop$ by ,alb]t ,e9/e91 & ?us re9=c$ ! conviction t ! def9+ ( ?is !ory is "o ( ! mo/ important /eps ev] tak5 9 ! doma9 ( natural sci5ce4 ,9 response to a reque/ by ! editor1 ,i w attempt to contribute some?+ to its g5]al appreciation 9 ! foll[+ l9es4 ,= c5turies ,newton's doctr9e ( ! attraction ( gravitation has be5 ! mo/ prom95t example ( a !ory ( natural sci5ce4 ,?r\gh ! simplicity ( its basic idea1 an attraction betwe5 two bodies proportionate to _! mass & also proportionate to ! squ>e ( ! di/ance2 ?r\gh ! complet5ess ) :i* x expla9$ s _m ( ! peculi>ities 9 ! movem5t ( ! bodies mak+ up ! sol> sy/em2 &1 f9ally1 ?r\gh its univ]sal validity1 ev5 9 ! case ( ! f>-di/ant planet>y sy/ems1 x compell$ ! admiration ( all4 ,b1 :ile ! skill ( ! ma!maticians 0 devot$ to mak+ m exact calculations ( ! consequ5ces to :i* x l$1 no real progress 0 made 9 ! sci5ce ( gravitation4 ,x is true t ! inquiry 0 transf]r$ to ! field ( physics1 foll[+ ,cav5di%'s success 9 demon/rat+ ! common attraction betwe5 bodies ) :i* laboratory "w c be done1 b x always 0 evid5t t natural philosophy _h no grip on ! univ]sal p[] ( attraction4 ,:ile 9 electric effects an influ5ce ex]cis$ by ! matt] plac$ betwe5 bodies 0 spe$ily obs]v$--! />t+-po9t ( a new & f]tile doctr9e ( electricity--9 ! case ( gravitation n a trace ( an influ5ce ex]cis$ by int]m$iate matt] c\ld ev] be discov]$4 ,x 01 & rema9$1 inaccessible & un*angeable1 )\t any connection1 app>5tly1 ) o!r ph5om5a ( natural philosophy4 ,e9/e9 has put an end to ?is isolation2 x is n[ well e/abli%$ t gravitation affects n only matt]1 b also light4 ,?us /r5g!n$ 9 ! fai? t 8 !ory already has inspir$1 we may assume ) him t !re is n a s+le physical or *emical ph5om5on--:i* does n feel1 al?\gh v probably 9 an unnoticeable degree1 ! influ5ce ( gravitation1 & t1 on ! o!r side1 ! attraction ex]cis$ by a body is limit$ 9 ! fir/ place by ! quantity ( matt] x conta9s & also1 to "s degree1 by motion & by ! physical & *emical condition 9 :i* x moves4 ,x is compreh5sible t a p]son c\ld n h arriv$ at su* a f>-rea*+ *ange ( view by cont9u+ to foll[ ! old beat5 pa?s1 b only by introduc+ "s sort ( new idea4 ,inde$1 ,e9/e9 arriv$ at 8 !ory ?r\gh a tra9 ( ?\ght ( great orig9ality4 ,let me try to re/ate x 9 concise t]ms4 ,,! ,,e>? ,,z ,a ,,mov+ ,,c> ,ev]yone kn[s t a p]son may be sitt+ 9 any k9d ( a vehicle )\t notic+ its progress1 s long z ! movem5t does n v>y 9 direction or spe$2 9 a c> ( a fa/ express tra9 objects fall 9 j ! same way z 9 a coa* t is /&+ /ill4 ,only :5 we look at objects outside ! tra91 or :5 ! air c ent] ! c>1 d we notice indications ( ! motion4 ,we may comp>e ! e>? ) su* a mov+ vehicle1 :i* 9 its c\rse ar\nd ! sun has a rem>kable spe$1 ( :i* ! direction & velocity dur+ a consid]able p]iod ( "t may be reg>d$ z con/ant4 ,9 place ( ! air n[ comes1 s x 0 reason$ =m]ly1 ! e!r :i* fills ! spaces ( ! univ]se & is ! c>ri] ( light & ( electro-magnetic ph5om5a2 !re 7 good reasons to assume t ! e>? 0 entirely p]meable = ! e!r & c\ld travel ?r\gh x )\t sett+ x 9 motion4 ,s "h 0 a case comp>able ) t ( a railroad coa* op5 on all sides4 ,!re c]ta9ly %\ld h be5 a p[]ful e!r w9d bl[+ ?r\gh ! e>? & all our in/rum5ts1 & x 0 to h be5 expect$ t "s signs ( x w\ld be notic$ 9 connection ) "s exp]im5t or o!r4 ,e attempt along t l9e1 h[ev]1 has rema9$ fruitless2 all ! ph5om5a exam9$ 7 evid5tly indep5d5t ( ! motion ( ! e>?4 ,t ?is is ! way !y d function 0 br\ght to ! front by ,e9/e9 9 8 fir/ or special !ory ( relativity4 ,= him ! e!r does n function & 9 ! sket* t he draws ( natural ph5om5a !re is no m5tion ( t int]m$iate matt]4 ,if ! spaces ( ! univ]se are fill$ ) an e!r1 let u suppose ) a sub/ance1 9 :i*1 aside f ev5tual vibrations & o!r slight movem5ts1 !re is nev] any cr[d+ or fl[+ ( "o "p alongside ( ano!r1 !n we c imag9e fix$ po9ts exi/+ 9 x2 = example1 po9ts 9 a /raight l9e1 locat$ "o met] ap>t1 po9ts 9 a level pla91 l ! angles or squ>es on a *ess bo>d ext5d+ out into inf9ity1 & f9ally1 po9ts 9 space z !y are obta9$ by repeat$ly %ift+ t level spot a di/ance ( a met] 9 ! direction p]p5dicul> to x4 ,if1 consequ5tly1 "o ( ! po9ts is *os5 z an orig9al po9t we c1 proce$+ f t po9t1 rea* any o!r po9t ?r\gh ?ree /eps 9 ! common p]p5dicul> directions 9 :i* ! po9ts are arrang$4 ,! figures %[+ h[ _m met]s are compriz$ 9 ea* ( ! /eps may s]ve to indicate ! place rea*$ & to di/+ui% x f any o!r2 ^! are1 z is said1 ! co-ord9ates ( ^! places1 comp>able1 = example1 ) ! numb]s on a map giv+ ! longitude & latitude4 ,let u imag9e t ea* po9t has not$ ^u x ! ?ree numb]s t give its position1 !n we h some?+ comp>able ) a measure ) numb]$ subdivisions2 only we n[ h to d1 "o might say1 ) a good _m imag9>y measures 9 ?ree common p]p5dicul> directions4 ,9 ?is sy/em ( co-ord9ates ! numb]s t fix ! position ( "o or ! o!r ( ! bodies may n[ be read (f at any mom5t4 ,?is is ! means :i* ! a/ronom]s & _! ma!matical assi/ants h always us$ 9 deal+ ) ! movem5t ( ! heav5ly bodies4 ,at a det]m9$ mom5t ! position ( ea* body is fix$ by its ?ree co-ord9ates4 ,if ^! are giv51 !n "o kn[s also ! common di/ances1 z well z ! angles =m$ by ! connect+ l9es1 & ! movem5t ( a planet is to be kn[n z soon z "o kn[s h[ its co-ord9ates are *ang+ f "o mom5t to ! o!r4 ,?us ! picture t "o =ms ( ! ph5om5a /&s !re z if x 7 sket*$ on ! canvas ( ! motionless e!r4 ,,e9/e9',s ,,dep>ture ,s9ce ,e9/e9 has cut loose f ! e!r1 he lacks ?is canvas1 & !re)1 at ! fir/ glance1 also loses ! possibility ( fix+ ! positions ( ! heav5ly bodies & ma!matically describ+ _! movem5t--i4e41 by giv+ comp>isons t def9e ! positions at e mom5t4 ,h[ ,e9/e9 has ov]come ?is difficulty may be some:at elucidat$ ?r\gh a simple illu/ration4 ,on ! surface ( ! e>? ! attraction ( gravitation causes all bodies to fall along v]tical l9es1 &1 inde$1 :5 "o omits ! resi/ance ( ! air1 ) an equally accel]at$ movem5t2 ! velocity increases 9 equal degrees 9 equal consecutive divisions ( "t at a rate t 9 ?is c\ntry gives ! velocity atta9$ at ! end ( a second z #iha c5timet]s 7#cb4b feet7 p] second4 ,! numb] #iha def9es ! accel]ation 9 ! field ( gravitation1 & ?is field is fully *>act]iz$ by t s+le numb]2 ) its help we c also calculate ! movem5t ( an object hurl$ out 9 an arbitr>y direction4 ,9 ord] to measure ! accel]ation we let ! body drop alongside ( a v]tical measure set solidly on ! gr\nd2 on ?is scale we read at e mom5t ! figure t indicates ! height1 ! only co-ord9ate t is ( importance 9 ?is rectil9e> movem5t4 ,n[ we ask :at w\ld we be able to see if ! measure 7 n b\nd solidly to ! e>?1 if x1 let u suppose1 mov$ d[n or up ) ! place :]e x is locat$ & :]e we are ourselves4 ,if 9 ?is case ! spe$ 7 con/ant1 !n1 & ?is is 9 accord ) ! special !ory ( relativity1 !re w\ld be no motion obs]v$ at all2 we %\ld aga9 f9d an accel]ation ( #iha = a fall+ body4 ,x w\ld be diff]5t if ! measure mov$ ) *angeable velocity4 ,if x w5t d[n ) a con/ant accel]ation ( #iha itself1 !n an object c\ld rema9 p]man5tly at ! same po9t on ! measure1 or c\ld move up or d[n itself alongside ( x1 ) con/ant spe$4 ,! relative movem5t ( ! body ) reg>d to ! measure %\ld be )\t accel]ation1 & if we _h to judge only by :at we obs]v$ 9 ! spot :]e we 7 & :i* 0 fall+ itself1 !n we %\ld get ! impression t !re 0 no gravitation at all4 ,if ! measure goes d[n ) an accel]ation equal to a half or a ?ird ( :at x j 01 !n ! relative motion ( ! body w1 ( c\rse1 be accel]at$1 b we %\ld f9d ! increase 9 velocity p] second "o-half or two-?irds ( #iha4 ,if1 f9ally1 we let ! measure rise ) a uni=mly accel]at$ movem5t1 !n we %all f9d a great] accel]ation ?an #iha = ! body itself4 ,?us we see t we1 also :5 ! measure is n atta*$ to ! e>?1 disreg>d+ its displacem5t1 may describe ! motion ( ! body 9 respect to ! measure always 9 ! same way--i4e41 z "o uni=mly accel]at$1 z we ascribe n[ & aga9 a fix$ value to ! accel]ation ( ! sph]e ( gravitation1 9 a p>ticul> case ! value ( z]o4 ,( c\rse1 9 ! case "h "u consid]ation ! use ( a measure fix$ immovably ^u ! e>? %\ld m]it all recomm5dation4 ,b 9 ! spaces ( ! sol> sy/em we h1 n[ t we h ab&on$ ! e!r1 no su* support4 ,we c no long] e/abli% a sy/em ( co-ord9ates1 l ! "o j m5tion$1 9 a univ]sal int]m$iate matt]1 & if we 7 to arrive 9 "o way or ano!r at a def9ite sy/em ( l9es cross+ ea* o!r 9 ?ree directions1 !n we %\ld be able to use j z well ano!r simil> sy/em t 9 respect to ! fir/ moves ?is or t way4 ,we %\ld also be able to remodel ! sy/em ( co-ord9ates 9 all k9ds ( ways1 = example by ext5sion or compression4 ,t 9 all ^! cases = fix$ bodies t d n p>ticipate 9 ! movem5t or ! remodell+ ( ! sy/em o!r co-ord9ates w be read (f aga9 & aga9 is cle>4 ,,new ,,sy/em ,,or ,,co-,,ord9ates ,:at way ,e9/e9 _h to foll[ is n[ app>5t4 ,he mu/--?is h>dly ne$s to be said--9 calculat+ def9ite1 p>ticul> cases make use ( a *os5 sy/em ( co-ord9ates1 b z he _h no means ( limit+ 8 *oice be=eh& & 9 g5]al1 he _h to res]ve full lib]ty ( action 9 ?is respect4 ,!re=e he made x 8 aim s to arrange ! !ory t1 no matt] h[ ! *oice 0 made1 ! ph5om5a ( gravitation1 s f> z its effects & its /imulation by ! attract+ bodies are conc]n$1 may always be describ$ 9 ! same way--i4e41 ?r\gh comp>isons ( ! same g5]al =m1 z we aga9 & aga9 give c]ta9 values to ! numb]s t m>k ! sph]e ( gravitation4 7,= ! sake ( simplification ,i "h disreg>d ! fact t ,e9/e9 desires t also ! way 9 :i* "t is measur$ & repres5t$ by figures %all h no influ5ce ^u ! c5tral value ( ! comp>isons47 ,:e!r ?is aim c\ld be atta9$ 0 a "q ( ma!matical inquiry4 ,x really 0 atta9$1 rem>kably en\gh1 &1 we may say1 to ! surprise ( ,e9/e9 himself1 al?\gh at ! co/ ( consid]able simplicity 9 ! ma!matical =m2 x appe>$ necess>y = ! fixation ( ! field ( gravitation 9 "o or ! o!r po9t 9 space to introduce no few] ?an t5 quantities 9 ! place ( ! "o t occurr$ 9 ! example m5tion$ above4 ,9 ?is connection x is ( importance to note t :5 we exclude c]ta9 possibilities t w\ld give rise to /ill great] intricacy1 ! =m ( comp>ison us$ by ,e9/e9 to pres5t ! !ory is ! only possible "o2 ! pr9ciple ( ! fre$om ( *oice 9 co-ord9ates 0 ! only "o by :i* he ne$$ to all[ himself to be guid$4 ,al?\gh ?us !re 0 no special ef=t made to rea* a connection ) ! !ory ( ,newton1 x 0 evid5t1 =tunately1 at ! end ( ! exp]im5t t ! connection exi/$4 ,if we avail ourselves ( ! simplify+ circum/ance t ! velocities ( ! heav5ly bodies are slight 9 comp>ison ) t ( light1 !n we c d$uce ! !ory ( ,newton f ! new !ory1 ! univ]sal relativity !ory1 z x is call$ by ,e9/e94 ,?us all ! conclusions bas$ ^u ! ,newtonian !ory hold good1 z mu/ naturally be requir$4 ,b n[ we h got fur!r along4 ,! ,newtonian !ory c no long] be reg>d$ z absolutely correct 9 all cases2 !re are slight deviations f x1 :i*1 al?\gh z a rule unnoticeable1 once 9 a :ile fall )9 ! range ( obs]vation4 ,n[1 !re 0 a difficulty 9 ! movem5t ( ! planet ,m]cury :i* c\ld n be solv$4 ,ev5 aft] all ! di/urbances caus$ by ! attraction ( o!r planets _h be5 tak5 into acc\nt1 !re rema9$ an inexplicable ph5om5on--i4e41 an extremely sl[ turn+ ( ! ellipsis describ$ by ,m]cury on its own plane2 ,lev]ri] _h f\nd t x am\nt$ to =ty-?ree seconds a c5tury4 ,e9/e9 f\nd t1 accord+ to 8 =mulas1 ?is movem5t mu/ really am\nt to j t mu*4 ,?us ) a s+le bl[ he solv$ "o ( ! greate/ puzzles ( a/ronomy4 ,/ill m rem>kable1 because x has a be>+ ^u a ph5om5on :i* =m]ly c\ld n be imag9$1 is ! confirmation ( ,e9/e9's pr$iction reg>d+ ! influ5ce ( gravitation ^u ! c\rse ( ! rays ( light4 ,t su* an influ5ce mu/ exi/ is taught by a simple exam9ation2 we h only to turn back = a mom5t to ! foll[+ comp>ison 9 :i* we 7 j imag9+ ourselves to make our obs]vations4 ,x 0 not$ t :5 ! comp>tm5t is fall+ ) ! accel]ation ( #iha ! ph5om5a !re9 w occur j z if !re 7 no attraction ( gravitation4 ,we c !n see an object1 ,a1 /& /ill some:]e 9 op5 space4 ,a projectile1 ,b1 c travel ) con/ant spe$ along a horizontal l9e1 )\t v>y+ f x 9 ! slighte/4 ,a ray ( light c d ! same2 ev]ybody w admit t 9 ea* case1 if !re is no gravitation1 light w c]ta9ly ext5d itself 9 a rectil9e> way4 ,if we limit ! light to a flick] ( ! slighte/ duration1 s t only a little bit1 ,c1 ( a ray ( light arises1 or if we fix our att5tion ^u a s+le vibration ( light1 ,c1 :ile we on ! o!r h& give to ! projectile1 ,b1 a spe$ equal to t ( light1 !n we c conclude t ,b & ,c 9 _! cont9u$ motion c always rema9 next to ea* o!r4 ,n[ if we wat* all ?is1 n f ! movable comp>tm5t1 b f a place on ! e>?1 !n we %all note ! usual fall+ movem5t ( object ,a1 :i* %[s u t we h to deal ) a sph]e ( gravitation4 ,! projectile ,b w1 9 a b5t pa?1 v>y m & m f a horizontal /raight l9e1 & ! light w d ! same1 because if we obs]ve ! movem5ts f ano!r /&po9t ?is c h no effect ^u ! rema9+ next to ea* o!r ( ,b & ,c4 ,,deflection ,,( ,,light ,! b5d+ ( a ray ( light ?us describ$ is mu* too light on ! surface ( ! e>? to be obs]v$4 ,b ! attraction ( gravitation ex]cis$ by ! sun on its surface is1 because ( its great mass1 m ?an tw5ty-sev5 times /rong]1 & a ray ( light t goes close by ! sup]ficies ( ! sun mu/ surely be noticeably b5t4 ,! rays ( a /> t are se5 at a %ort di/ance f ! edge ( ! sun w1 go+ along ! sun1 deviate s mu* f ! orig9al direction t !y /rike ! eye ( an obs]v] z if !y came 9 a /raight l9e f a po9t some:at fur!r remov$ ?an ! real position ( ! /> f ! sun4 ,x is at t po9t t we ?9k we see ! />2 s "h is a seem+ displacem5t f ! sun1 :i* increases 9 ! measure 9 :i* ! /> is obs]v$ clos] to ! sun4 ,! ,e9/e9 !ory tea*es t ! displacem5t is 9 inv]se proportion to ! app>5t di/ance ( ! /> f ! c5tre ( ! sun1 & t = a /> j on its edge x w am\nt to #a'4ge 7#a4ge seconds74 ,?is is approximately ! ?\s&? "p ( ! app>5t diamet] ( ! sun4 ,naturally1 ! ph5om5on c only be obs]v$ :5 !re is a total eclipse ( ! sun2 !n "o c take photographs ( neighbor+ />s & ?r\gh comp>+ ! plate ) a picture ( ! same "p ( ! heav5s tak5 at a "t :5 ! sun 0 f> remov$ f t po9t ! s\ght-= movem5t to "o side may become app>5t4 ,?us to put ! ,e9/e9 !ory to ! te/ 0 ! pr9cipal aim ( ! ,engli% exp$itions s5t out to obs]ve ! eclipse ( ,may #bi1 "o to ,pr9ce's ,isl&1 (f ! coa/ ( ,gu9ea1 & ! o!r to ,sobral1 ,brazil4 ,! fir/-nam$ exp$ition's obs]v]s 7 ,edd+ton & ,cott+ham1 ^? ( ! second1 ,crommel9 & ,davidson4 ,! conditions 7 especially favorable1 = a v l>ge numb] ( bright />s 7 %[n on ! photographic plate2 ! obs]v]s at ,sobral be+ p>ticul>ly lucky 9 hav+ good wea!r4 ,! total eclipse la/$ five m9utes1 dur+ f\r ( :i* x 0 p]fectly cle>1 s t good photographs c\ld be tak54 ,9 ! report issu$ reg>d+ ! results ! foll[+ figures1 :i* are ! av]age ( ! measurem5ts made f ! sev5 plates1 are giv5 = ! displacem5ts ( sev5 />s3 #a''4jb1 #j''4ib1 #j''4hd1 #j''4eh1 #j''4ed1 #j''4cf1 #j''4bd1 :]eas1 accord+ to ! !ory1 ! displacem5ts %\ld h am\nt$ to3 #j''4hh1 #j''4hj1 #j''4ge1 #j''4dj1 #j''4eb1 #j''4cc1 #j''4bj4 ,if we consid] t1 accord+ to ! !ory ! displacem5ts mu/ be 9 inv]se ratio to ! di/ance f ! c5tre ( ! sun1 !n we may d$uce f ea* obs]v$ displacem5t h[ great ! sideways movem5t = a /> at ! edge ( ! sun %\ld h be54 ,z ! mo/ probable result1 !re=e1 ! numb] #a''4ih 0 f\nd f all ! obs]vations toge!r4 ,z ! la/ ( ! displacem5ts giv5 above--i4e41 #j''4bd is ab\t "o-eigh? ( ?is1 we may say t ! influ5ce ( ! attraction ( ! sun ^u light made itself felt ^u ! ray at a di/ance eight times remov$ f its c5tre4 ,! displacem5ts calculat$ accord+ to ! !ory are1 j because ( ! way 9 :i* !y are calculat$1 9 inv]se proportion to ! di/ance to ! c5tre4 ,n[ t ! obs]v$ deviations also accord ) ! same rule1 x foll[s t !y are surely proportionate ) ! calculat$ displacem5ts4 ,! proportion ( ! fir/ & ! la/ obs]v$ sidewise movem5ts is #d4b1 & t ( ! two mo/ extreme ( ! calculat$ numb]s is #d4d4 ,?is result is ( importance1 because !reby ! !ory is exclud$1 or at lea/ made extremely improbable1 t ! ph5om5on ( refraction is to be ascrib$ to1 a r+ ( vapor surr\nd+ ! sun = a great di/ance4 ,inde$1 su* a refraction %\ld cause a deviation 9 ! obs]v$ direction1 &1 9 ord] to produce ! displacem5t ( "o ( ! />s "u obs]vation itself a slight proximity ( ! vapor r+ %\ld be suffici5t1 b we h e reason to expect t if x 7 m]ely a "q ( a mass ( gas ar\nd ! sun ! dim9i%+ effect accompany+ a removal f ! sun %\ld manife/ itself mu* fa/] ?an is really ! case4 ,we _c speak ) p]fect c]ta9ty "h1 z all ! factors t might be ( influ5ce ^u ! di/ribution ( d5sity 9 a sun atmosph]e are n well en\gh kn[n1 b we c surely demon/rate t 9 case "o ( ! gasses ) :i* we are acqua9t$ 7 held 9 equilibrium solely by ! influ5ce ( attraction ( ! sun ! ph5om5on %\ld become mu* less z soon z we got some:at fur!r f ! edge ( ! sun4 ,if ! displacem5t ( ! fir/ />1 :i* am\nts to #a4jb-seconds 7 to be ascrib$ to su* a mass ( gas1 !n ! displacem5t ( ! second mu/ already be entirely inappreciable4 ,s f> z ! absolute ext5t ( ! displacem5ts is conc]n$1 x 0 f\nd some:at too great1 z has be5 %[n by ! figures giv5 above2 x also appe>s f ! f9al result to be #a4ih = ! edge ( ! sun--i4e41 #ac p] c5t1 great] ?an ! !oretical value ( #a4ge4 ,x inde$ seems t ! discrepancies may be ascrib$ to faults 9 obs]vations1 :i* supposition is support$ by ! fact t ! obs]vations at ,pr9ce's ,isl&1 :i*1 x is true1 did n turn out q z well z ^? m5tion$ above1 gave ! result1 ( #a4fd1 some:at l[] ?an ,e9/e9's figure4 7,! obs]vations made ) a second in/rum5t at ,sobral gave a result ( #j4ic1 b ! obs]v]s are ( ! op9ion t because ( ! %ift+ ( ! mirror :i* reflect$ ! rays no value is to be atta*$ to x47 ,,difficulty ,,exagg]at$ ,dur+ a discussion ( ! results obta9$ at a jo9t meet+ ( ! ,royal ,society & ! ,royal ,a/ronomical ,society held especially = t purpose rec5tly 9 ,london1 x 0 ! g5]al op9ion t ,e9/e9's pr$iction might be reg>d$ z ju/ifi$1 & w>m tributes to 8 g5ius 7 made on all sides4 ,nev]!less1 ,i _c refra91 :ile ,i am m5tion+ x1 f express+ my surprise t1 accord+ to ! report 9 ,! ,times !re %\ld be s mu* compla9t ab\t ! difficulty ( und]/&+ ! new !ory4 ,x is evid5t t ,e9/e9's little book ,ab\t ! ,special & ! ,g5]al ,!ory ( ,relativity 9 ,pla9 ,t]ms1 did n f9d its way into ,engl& dur+ w>time4 ,any "o read+ x w1 9 my op9ion1 come to ! conclusion t ! basic ideas ( ! !ory are really cle> & simple2 x is only to be regrett$ t x 0 impossible to avoid clo?+ !m 9 pretty involv$ ma!matical t]ms1 b we mu/ n worry ab\t t4 ,i all[ myself to add t1 z we foll[ ,e9/e91 we may reta9 mu* ( :at has be5 =m]ly ga9$4 ,! ,newtonian !ory rema9s 9 its full value z ! fir/ great /ep1 )\t :i* "o _c imag9e ! developm5t ( a/ronomy & )\t :i* ! second /ep1 t has n[ be5 made1 w\ld h>dly h be5 possible4 ,x rema9s1 moreov]1 z ! fir/1 & 9 mo/ cases1 suffici5t1 approximation4 ,x is true t1 accord+ to ,e9/e9's !ory1 because x leaves u entirely free z to ! way 9 :i* we wi% to repres5t ! ph5om5a1 we c imag9e an idea ( ! sol> sy/em 9 :i* ! planets foll[ pa?s ( peculi> =m & ! rays ( light %9e along %>ply b5t l9es--?9k ( a twi/$ & di/ort$ planet>ium--b 9 e case :]e we apply x to concrete que/ions we %all s arrange x t ! planets describe almo/ exact ellipses & ! rays ( light almo/ /raight l9es4 ,x is n necess>y to give up entirely ev5 ! e!r4 ,_m natural philosoph]s f9d satisfaction 9 ! idea ( a mat]ial int]m$iate sub/ance 9 :i* ! vibrations ( light take place1 & !y w v probably be all ! m incl9$ to imag9e su* a m$ium :5 !y le>n t1 accord+ to ! ,e9/e9 !ory1 gravitation itself does n spread in/antane\sly1 b ) a velocity t at ! fir/ e/imate may be comp>$ ) t ( light4 ,especially 9 =m] ye>s 7 su* int]pretations curr5t & repeat$ attempts 7 made by speculations ab\t ! nature ( ! e!r & ab\t ! mutations & movem5ts t might take place 9 x to arrive at a cle> pres5tation ( electro-magnetic ph5om5a1 & also ( ! function+ ( gravitation4 ,9 my op9ion x is n impossible t 9 ! future ?is road1 inde$ ab&on$ at pres5t1 w once m be foll[$ ) good results1 if only because x c lead to ! ?9k+ out ( new exp]im5tal te/s4 ,e9/e9's !ory ne$ n keep u f s do+2 only ! ideas ab\t ! e!r mu/ accord ) x4 ,nev]!less1 ev5 )\t ! color & cle>ness t ! e!r !ories & ! o!r models may be able to give1 & ev51 we c feel x ?is way1 j because ( ! sob]ness induc$ by _! abs5ce1 ,e9/e9's "w1 we may n[ positively expect1 w rema9 a monum5t ( sci5ce2 8 !ory entirely fulfills ! fir/ & pr9cipal dem& t we may make1 t ( d$uc+ ! c\rse ( ph5om5a f c]ta9 pr9ciples exactly & to ! smalle/ details4 ,x 0 c]ta9ly =tunate t he himself put ! e!r 9 ! backgr\nd2 if he _h n done s1 he probably w\ld nev] h come ^u ! idea t has be5 ! f\ndation ( all 8 exam9ations4 ,?anks to 8 indefatigable ex]tions & p]sev]ance1 = he _h great difficulties to ov]come 9 8 attempts1 ,e9/e9 has atta9$ ! results1 :i* ,i h tri$ to sket*1 :ile /ill "y2 he is n[ #de ye>s old4 ,he complet$ 8 fir/ inve/igations 9 ,switz]l&1 :]e he fir/ 0 engag$ 9 ! ,pat5t ,bureau at ,b]ne & lat] z a pr(essor at ! ,polyte*nic 9 ,zuri*4 ,aft] hav+ be5 a pr(essor = a %ort "t at ! ,univ]sity ( ,prague1 he settl$ 9 ,b]l91 :]e ! ,kais] ,wilhelm ,in/itute af=d$ him ! opportunity to devote himself exclusively to 8 sci5tific "w4 ,he repeat$ly visit$ our c\ntry & made 8 ,ne!rl& colleagues1 among :om he c\nts _m good fri5ds1 p>tn]s 9 8 /udies & 8 results4 ,he att5d$ ! la/ meet+ ( ! dep>tm5t ( natural philosophy ( ! ,royal ,academy ( ,sci5ces1 & ! memb]s !n _h ! privilege ( he>+ him expla91 9 8 own fasc9at+1 cle> & simple way1 8 int]pretations ( ! fundam5tal que/ions to :i* 8 !ory gives rise4