Proper Time, and FresneVs Coefficient. 



66% 



characteristic of that imperfect conversion. This becomes 

 significant for comparison with previous results *. Con- 

 tinuing along the same line, we find tor the assumed 

 time-rate of electromagnetic energy, 



/ T m' dv \ ( T" ,dv \ 



b^'i + i m 'h% ■ (40) 



where the brackets again set off an effective inertia. The 

 facts can be summarized into saying that a composite operator 

 (scale-factor) must be applied ; each element in it to the 

 proper quota of (?%). Equation (9) fixes, for the general 

 ratio (z) of equation (1), a mid-way point between the 

 activities (energy-fluxes) denoted by (2u Ti, T"v /y(v )). But 

 specializing (z) into (y(v )) throws the assigned electro- 

 magnetic activity unsymmetrically into that interval. This 

 outcome conforms reasonably with building on the basis 

 afforded by the last member of equation (7). Provided that 



/x 2 c 



2E 



nE 



~2 



d 



dt 



d_ 



dt 



i- / 2 



n /x- 2 c n 



1 — 



z z 



En _ 2 

 ~^\-~z 



2<m 



dt 



2E_dz 



z 2 dt 



3 rr o dm' rr , , dv 

 = 2vL 1 -v 2 — r = vFi + m'v rr; 

 dt dt 



| >2'C 



nE- 



+ — r 



dv 



m v 



dt 

 /' m av\ 



dv 



(41) 



The preceding treatment of electromagnetic activity is 

 in the first instance empirical^ let it be granted. For one 

 thing, it adheres to an activity-value whose exact validity 

 is perhaps not yet beyond question. Supposing, however, 

 this datum to remain unshaken under renewed critical exam- 

 ination, the foregoing " cut-and-try " result can be ration- 

 alized, at least partially, by comparing it with the routine 

 in terms of (///, //,) and of (fi/, fii). Let us lay out the 

 main steps of that analysis, by way of conclusion. 

 Consider first the activities for the speed (vi), based on 

 equations (1, 38), 



d , „ 2 d/jb' dvi 



*di M = 



dt 



Cfl 



dt 





dt 



dt 



* Particularly (III.), eq. 29; and the routine of eq. (11, 12) there. 



2X2 



