Modified Theory of Gravitation. 103 



Appendix B. 



Electromagnetic and Thermal Effects 'produced by 

 Compressional ^Etherial Waves. 



58. Returning more particularly to the view adopted in 

 the body o£ this paper, the results obtained in §§ 16-18 

 above may be readily revised so us to discriminate between 

 the possibly different gravitative behaviour o£ positive and 

 negative electrons. 



As in Appendix A, let unit mass of neutral matter contain 

 mass fii o£ positive and /m 2 of negative electrons (so that 

 ^ -h/A 2 = l), the aggregate charge of mass /-tj (or fi 2 ) of 

 positive (or negative) electrons being as before denoted by 



e x( or - e x)- 



Let 



volume of aether " extruded" by mass [x x of positive electrons =F l n h 

 „ „ „ „ fM 2 „ negative „ = F 2/t «,; 



then 



mass „ „ „ n { ,, positive ,, = F 1 /z 1 p, 



and 



mass „ „ „ fi 2 „ negative „ =F 2 ,* 2 p. 



Also let -dFJdp^R^ -dF 2 /dp = R 2 ; . . (68) 

 then evidently 

 F 1 /i. 1 + F 2 ^ 2 = F( y u, 1 + ^ 2 ) = F and H^ + E^u^H. (69) 



Precisely as in (7), we can write down, in terms of the 

 acceleration of the aether, the corresponding forces on 

 positive and negative electrons. Writing A for the acceler- 

 ation of the aether at any instant, arising from the propagation 

 of the primary waves, the corresponding force tending to 

 accelerate the mass fii of positive electrons relatively to the 

 aether is F^pA, while the mass p, 2 of negative electrons 

 similarly experiences a force F 2 /n 2 pA. Now 



F 2 fM 2 pA=A{FfM 2 p^(F 2 -F)fj, 2P \ j ' ' W* 



the aggregate forces acting respectively on the positive and 

 on the negative electrons in unit mass of matter being thus 

 resolvable into forces F^pA, F/i 2 pA proportional to the 

 masses on which they act, together with the pair of forces 

 (F l — F)fjL l pA and (F 2 — F)/x 2/ oA, which by (69) are equal and 

 opposite. The first two constituents named tend to accelerate 

 each element of matter with respect to the aether as a whole, 



