438 An Alternative View of Relativity. 



manifestation in (U) of work associated with a process in 

 (F), we have after a short reduction, 



jV-^fcA.^fl-g-^] 



= <^(yK)-1), • (19> 



<y(u) 

 to mntch equation (7). This can also be written : 



J, 



(Ta'yM)v c 'dt = c*m (y(v v f )-l); . . (20) 



o 



in a symmetrical form that fixed one goal of a Lorentz trans- 

 formation. With the aid of equations (14), a similar recasting 

 of work due to the activity (A') can be executed; and in any 

 like case the transition to local time in the explicit time- 

 factors can be added, rounding out the restatement. "Implicit 

 time " (as the phrase gees) occurs already in (vj). 



All these latter developments can be made reciprocal 

 between (F) and (U), by adding as a starting-point for 

 reversal the value (v c ) altered from (r) : 



v c = } ; v'= ; - f =y' 2 (ii)(v c —ii). . (21) 



1 _u !^L 1 _ — c 1 j- _ 



-L I ~n~ J- o -L T 9 



Mathematically judged, there is no essential distinction 

 to uphold between the direct and the reversed process of 

 revision. Neither does mathematics attach any such decision 

 to equation (3): whether (WJ or (Gri) is "truer"; the* 

 relation is sufficient. On that side, the formulations being- 

 shown mathematically equivalent, the need of preferential 

 discrimination would cease as regards the Newtonian scheme 

 and relativity. But, as pointed out already, electronic 

 dynamics can be cast, like gravitation, into terms of a 

 potential, though the two potentials are unlike in type. Yet 

 the use of either draws in the same requirement of co- 

 ordinating by means of some conventional zero-point all 

 possible stages of every problem into which one of the 

 potentials enters. Unless the sequence of thought outlined 

 above can be controverted, the unconstrained parallel to 

 choosing "zero-point at infinity" for gravitation is clearly 

 forecast. Select some frame (F) to which (m ) belongs as an 

 absolute minimum for y(u) = l; that is u = 0. This is 

 plausibly indistinguishable from an "Ultimate frame for 

 planetary motions" [Lane]. The reiterated occurrence of 



