New Reading of Relativity. 43 



The second members appear as " telescoping ratios " for 

 velocities. The third members may reduce effective inertia 

 conveniently. For instance, 



T _ T "' - m lh '° + V °~~ U — 



°~ ur ~ uv n dt ~ uvp dt 



c 



f \ . f\ dvc i dm , no x 



tf* ° eft 



The Fresnel coefficient (k) of equation (15) is given also by 



y(ii)y{vo) . 1 = 7p) 

 7(^) 7 2 W V<,Vc)y(v ) 



_y(u)y(vc'), 1 J *-v* n . 



7(i'o) 7V«0 c*+^</ ' 



andb ^ « = 1-^. (29) 



c 



Equations (28a, 29) lead directly to the relation, significant 

 like equation (15) of meaning for (a:), 



[»w(«)7fe')]^'=T (l-^') = «T . . (29a) 

 Because 



the product of each factor by 7(1*) modifies the reductions so 

 that the original magnitude is restored by a combination of 

 direct and reverse reduction between (F, (J). Therefore our 

 results reproduce formally the transformations for Minkowski 

 force (K). If we identify T = K F ; y(u)TJ is K u ; 



K !( = 700(l"^ 2 O )K F ; K F = 7 O0(l+^)K t ,. (30a) 



Similarly, for K F '==T ff ; K,/ = ^4; 



y(u) 



K l / = 700(l-^JK P / ; K F ' = 700(l+ ? -^f')KV. (305) 



On the line of this parallelism, the "Newton force" of 

 relativity and its "local time" do not enter directly. Per- 

 haps they are secondary in a larger sense, as more artificial 

 alignment with Newtonian mechanics in part misread. 



