42 



Prof. F. Slate on a 



correspondence has been more obscure, and a way is opened 

 to standardize in one frame by systematic reduction, the final 

 issues in "true physics versus correct mathematics " are not 

 prejudiced by some postponement. Indeed, the closer 

 scrutiny is revealing multiplied chances for illusion and 

 encouraging suspended judgment. 



Certain critical values of the auxiliary velocities (v c ', v c ) 

 deserve mention. We find 



v -— 0, v c '= — u ; v '= 0, v c = u ; j 



v — c, v c '=c; v '=c, v c = c ; I 





. . ; . (27) 



These make plain first that the limiting speed (c); if affirmed 

 for (t' ), applies also to (vj). The two series (v , vj) in 

 (F, U) respectively, and each within the range (0, c), 

 are so telescoped relatively that the initial overlap (it) is 

 gradually annulled. Secondly, the relative translation (±'t«) 

 of (F, U) links all aspects of the combinations as an unchanged 

 magnitude. There is just so much demand as can be read 

 into these special ratios, for the •' practical infinity of (c) ; ' ? 

 or for the a axiomatic necessity " that light-speed relatively 

 to all frames (U) stands invariant at (6*) *. 



Equations (13, 21, 26) have connected force- values by 

 four reduction factors ; with algebraically equal values shown 



b y 



uv v — u yOV) 



c 2 y e ' y(u)y(v ) 



-,. j' m c __. v c + u _ y(v ) ; 

 c 2 v ~ y(u)ry(vj) 



l_i_ ? 1!^_ Vq + u _ y(v c ) ; 

 c 2 ' v c ~y(u)y{v ') 



Vc—u _ y(vo) 

 vj y(*0y(O ' 



Y • • (28) 



/.2 



* The comment on equation (9) would lead to a finite activity of (P) 

 expending work upon (K) during unlimited time of asymptotic approach 

 to finite (c). Equation (6) also presents gross work (of (T )), with whose 

 result relativity agrees. Finding W =oo ; v = c; constant (ro„) ; does 

 not confirm the practical infinity of (cY. Not even after redefining (W ) 

 as that " change of kinetic energy " whose disappearance from it we have 

 traced. Attentive sifting of infinity-values is seldom misplaced in 

 physics. 



