Modified Theory of Gravitation, 109 



(19) being replaced by 



F 2 = F 2 + SF 2 



ifcS) <*> 



Hence the gravitational force acting on the positive electrons 

 in unit mass of matter is 



-£*<Fi-H 1 p)(H J ^+B^)^l«j . (91) 



and since the average value of 'b^j'bt 2 is zero, the only part 

 of this expression which does not disappear on averaging is 



average o£ ^H^CH^ + H^p^I.}. . (92) 



Similarly, the average force on the negative electrons in 

 unit mass of matter is 



average of { £ H^H^ + H 2 ^)p|"? l x j . . (93) 



On adding (92), (93) and comparing with (21), it is seen 

 that (Hi/i-j + H 2i u 2 ) 2 =H 2 , which is otherwise immediately 

 evident. 



68. Now we have seen that the only escape from in- 

 admissibly great heating effects of the primary waves lies 

 in supposing the relation (81) to be at least very approxi- 

 mately true ; and unless we make the very special assumption 

 that the relation in question is only fulfilled for one particular 

 value of the general setherial pressure, we must likewise 

 conclude that 



d¥ 1 ldp = dF/dp = dF 2 /dp; .... (94) 



or, remembering (68), that 



H X =H=H 2 (95) 



In this case the expressions (92), (93) for the forces 

 exerted in a given gravitational field on the positive and the 

 negative electrons in unit mass of matter, become proportional 

 respectively to the aggregate masses of the electrons in 

 question. As was pointed out in § 51 (Appendix A), this is 

 the condition that no electromotive effects shall be experienced 

 by a body moving freely under a sensibly uniform field of 

 gravity. 



The relation between the notation of this Appendix and 

 that of Appendix A is evident : fi^ and fi 2 having the same 

 meaning in each case, while H 1} H 2 are respectively equivalent 

 to 71H, 7 2 H. 



