L. Page — Relativity and the Ether. 181 



The Effects of Ether on Matter. 



In the discussion of the effects of matter on ether we have 

 been led, with a considerable degree of certainty, to exact 

 expressions for the ether strain even in the case of the most 

 general type of motion. The discussion of the effects of 

 ether on matter presents greater difficulty. Following the 

 usual convention, we shall define the force F on a charged 

 particle as the product of the charge e of the particle and 

 the ether strain in the vicinity of the charge as measured 

 in the charge's system. For an electron of finite volume 

 F will consist of two parts, (a) the force F 1 due to the ether 

 strains set up by charges outside the electron, (b) the force 

 F a due to the ether strains produced by the electron itself. 

 F 2 is certainly proportional to — f. If unbalanced forces are 

 excluded 



F = F,+ F 2 = o 



But 



F a = — m f 

 Therefore 



F, = iw f 



where m may be a function of f and its derivatives, as well 

 as of the dimensions of the charged body under consideration. 

 Suppose the charge is at rest, at the instant considered, in 

 system K ' . Then V = V and from (3) 



A 



/; = 

 /: = 



_A _ 



./; 



0-/Q 2 ) 1 



Combining these transformations for f with those for E given 

 in equations (16), we obtain (as e is an invariant) 



eEJ 



J* 



^ + 7[ V xH]J vr ^ 



VI- /3 2 



eE' 

 and a similar equation for -~ r , 



eE z ' eE: 3 



Hence the charge acts, to an observer in E, as if it were 

 subject to a force 



Am. Jour. Sci.— Fourth Series. Vol. XXXVIII, No. 224.— August, 1914. 

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