and I read through it. Using a linear accelerator to efficiently move electrons at very high speed is pretty interesting. Unfortunately, I can't seem to duplicate some of your computations...
Assuming an electron beam current of 85 A, and an electron ejection velocity of "670,603,679 miles per hour" (299,786,669 m/s) I get a thrust of only 23.3 Newtons:
mdot=gamma*Me*I/q where mdot is the rate of mass expulsion from the vehicle (the exhaust mass) gamma=the relativistic mass factor =1/sqrt(1-ve^2/c^2) where ve=the exhaust velocity, c=speed of light. Me=9.1094*10^-31 kg (electron mass) I=85 A (Coulomb/sec) q=1.602*10^-19 C (electron charge)
gamma = 1/sqrt(299786669^2/299792458^2) =160.9
mdot = 7.777*10^-8 kg/s for the exhaust mass rate. This is the actual mass expelled per unit time.
Thus from the fundamental rocket equation: F=mdot*ve we have:
F=(7.777*10^-8 kg/s)*(299,786,669 m/s) =23.3 N For a million kilogram vehicle, this thrust will impart the acceleration:
a=F/10^6 Kg =2.33*10^-5 m/s^2 (2.4 micro g's)
So to me this implies: 1) Either the speed of the electrons exiting the vehicle are much less than nearly c (light-speed) or 2) The beam power (and beam current) must be proportionately higher, say about 500,000 times.
As I read this, Dr. Thomas, you are proposing use an electron beam to propel as spacecraft. If you do that you will soon build up a very large electron change on the spacecraft. This will cause a lot of problems eventually.