40 TWO NEW WORLDS 



the world cannot exist, but that there is something 

 wrong with our deductions. 



That all forces are reduced in the same proportion 

 is evident from the fact that they balance each 

 other. Thus, the fact that an electron can maintain 

 its orbit for even a fraction of a second shows that 

 for that fraction covering millions of revolutions 

 its centrifugal force has been balanced by an equal 

 and opposite attraction. If gravitation does not 

 account for that, there must be some other force 

 which does. That is the inevitable conclusion. 

 Fortunately, we are acquainted with such a force hi 

 the shape of electrostatic attraction ; but if we were 

 not, we should none the less be driven to conclude 

 that some such force existed. 



Again, we see that all pressures are increased 10 11 

 times, and that elasticity is increased in the same 

 proportion. Now, elasticity is the pressure or tension 

 required to produce a certain percentage reduction 

 or increase in length. Pressure is force per unit 

 area. Force is reduced 10 33 times, but area 10 44 

 times; hence pressure is increased 10 11 times. The 

 compression per unit length would therefore be 10 11 

 times what it is with us, were it not for the fact that 

 the density and elasticity are increased by the same 

 amount, leaving things just as they were. 



Again, a seconds pendulum in the infra-world will 

 be 10 22 times shorter than one in our world, and will 

 beat infra-seconds. For its period is proportional to 



