The etherial tension near the earth's surface, required to explain
gravity by its rate of variation, is of the order 6 × 10¹¹ c.g.s.
units. The tension near the sun is 2500 times as great (p. 103). With
different spheres in general, it is proportional to the density and to
the superficial area. Hence, near a bullet one inch in diameter, it is
of the order 10⁻⁶; and near an atom or an electron about 10⁻²¹ c.g.s.
If ever the tension rose to equal the constitutional elasticity or
intrinsic kinetic energy of the ether,--which we have seen is 10³³
dynes per square centimetre (or ergs per c.c.) or 10²² tons weight
per square millimetre,--it seems likely that something would give way.
But no known mass of matter is able to cause anything like such a
tension.
A smaller aggregate of matter would be able to generate the velocity
of light in bodies falling towards it from a great distance; and it
may be doubted whether any mass so great as to be able to do even that
can exist in one lump.
In order to set up a tension equal to what is here suspected of being
a critical, or presumably disruptive, stress in the ether [10³³
c.g.s.], a globe of the density of the earth would have to have a
radius of eight light years. In order to generate a velocity of free
fall under gravity equal to the velocity of light, a globe of the
earth's density would have to be equal in radius to the distance of
the earth from the sun, or say 26,000 times the earth's radius. If the
density were less, the superficial area would have to be increased in
proportion, so as to keep ρ R² constant.
The whole visible universe within a parallax of 1/1000 second of arc,
estimated by Lord Kelvin as the equivalent of 10⁹ suns, would be
quite incompetent to raise etherial tension to the critical point
10³³ c.g.s. unless it were concentrated to an absurd degree; but it
could generate the velocity of light with a density comparable to that
of water, if _mass_ were constant.
If the average density of the above visible universe (which may be
taken as 1.6 × 10⁻²³ grammes per c.c.) continued without limit, a
disruptive tension of the ether would be reached when the radius was
comparable to 10¹³ light years; and the velocity of light would be
generated by it when the radius was 10⁷ light years. But
heterogeneity would enable these values to be reached _more_ easily.
_Gravitation_ is thus supposed to be the result of a mechanical
tension inherently, and perhaps instantaneously, set up throughout
space whenever the etherial structure called an electric charge comes
into existence; the tension being directly proportional to the square
of the charge and inversely as its linear dimensions. _Cohesion_ is
quite different, and is due to a residual electrical attraction
between groups of neutral molecules across molecular distances: a
variant or modification of chemical affinity.
APPENDIX 2
CALCULATIONS IN CONNEXION WITH ETHER DENSITY
Public-domain text, read in full here on John Shaqi.
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