58 TWO NEW WORLDS 



wave-length of this light must on the average be 

 10 22 times smaller than the light visible to our 

 own eyes. The velocity of propagation being the 

 same as that of our light, the number of revolu- 

 tions per second for the infra-electrons must be 

 10 22 times that of the electrons, and 10 14 times that 

 of our earth. What mechanism will be necessary 

 for such a rate of revolution ? 



The dimensional calculus will again enable us to 

 solve this problem at a glance. Suppose that the 

 fundamental quantities M, L, T, and E are changed 

 over again in the same ratio as before. They will 

 now become lO" 110 , 10~ 44 , 10-", and 1Q- 55 times 

 what they are in our world. But the table on p. 39 

 shows that electrostatic attraction and centrifugal 

 force will no longer balance each other, since the 

 latter is again reduced to 10~ 33 and the former only 

 to 10~ 11 . In other words, the electric attraction 

 between an infra-atom and its attendant infra- 

 electron will be 10 22 times too great to balance 

 the centrifugal force. Hence there will be no 

 separation between atoms and electrons, and no 

 light or chemical action. 



Now we have a choice between two alternatives. 

 Either we assume that the infra-infra-world bears 

 the same relation to the infra-world as the latter 

 does to our world, in which case, as we have seen, 

 no infra-light is possible, and the infra-world is 

 dark; or we assume that electric charges are not 



