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Relativity: The Special and General Theory
Footnotes
1
)
Proof — According to the theory of Newton, the number of "lines of force" which come from
infinity and terminate in a mass m is proportional to the mass m. If, on the average, the Mass
density p
0
is constant throughout tithe universe, then a sphere of volume V will enclose the average
man p
0
V. Thus the number of lines of force passing through the surface F of the sphere into its
interior is proportional to p
0
V. For unit area of the surface of the sphere the number of lines of force
which enters the sphere is thus proportional to p
0
V/F or to p
0
R. Hence the intensity of the field at
the surface would ultimately become infinite with increasing radius R of the sphere, which is
impossible.
Relativity: The Special and General Theory