This is to examine the feasibility that gravity has a role in fusion
at some distance. The Coulomb force between two particles is:
Fc = Cc * q1 * q2 / r^2
where Cc is the Coulomb constant 8.99x10^9 m/F, the charge q1 or q2
of a particle is typically +-1.602x10^-19 C, and r is the particle
separation.
The gravitational force between two masses is:
Fg = Gc * m1 * m2 / r^2
where Gc is the gravitational constant 6.673x10^-11 m^3/(kg s^2), m1
and m2 are particle masses, and r is the particle separation. Given
the ratio of neutrons to protons is typically around 1, the largest
mass to charge nucleus is tritium, which has 2 neutrons and only one
proton, and a mass of 5.00736x10-27 kg.
The best ratio brgcf of gravitational force to Coulomb force is thus:
brgcf = Fg/Fc = (Gc * m1 * m2) / (Cc * q1 * q2)
which is clearly independent of distance assuming mass and charge
occupy the same volume. The best ratio is given by:
brgcf = Gc * (5.00736x10-27 kg)^2 / (Cc * (1.602x10^-19 C)^2)
brgcf = 7.25186x10^-36
A similarly small ratio is obtained when comparing spin coupling
gravimagnetic vs magnetic forces. It thus appears gravitation plays
no significant role in fusion or in any atomic mechanics at any
distance. This even applies when only neutrons are involved, because
the electromagnetic spin coupling dwarfs both the gravitation force
and the gravimagnetic force. The force of gravity must only be large
in the interaction of extremely small and thus energetic neutral
bosons, e.g. a photon ball early in the big bang.
Comments?
Best regards,
Horace Heffner
http://www.mtaonline.net/~hheffner/