Yeah, the design's plausible. Just that some of the numbers, like the service dates and the acceleration, are quite ludicrous.
Don't worry- most people either under- or over-estimate things when it comes to space. I had to train myself to get it right, and my first starship ideas were wildly retarded. Atomic Rockets fixed that right quick.
Speaking of which, I'll repost the picture of one of my most recent starship designs, which I'd like to think is fairly realistic for the technology level involved. This one, I've revised nearly half a dozen times; scale is one pixel per meter.
Information and description here on my dA page.
O-r-ly?
Is this supposed to be
realistic design? If so, where exactly is the realism? It appears to be filled with hand waved figures lifted from any number of forums and webpages where countless sci-fi fans with too much spare time and too little actual knowledge in physics fantasize about how many "kilotons" their favorite ships can dish out.
Other than that, I'm impressed by that tech, no heat dissipation problem to talk about (judging from the lack of radiators), and, if the exhaust velocity is 20kkm/s, the aeorgel-density materials are even more so. 120 000 TW at 10G means the ships weighs, at most, 125000 tons.
Concerning lasers, the diffraction problem is well, not much a problem. The diameter of the minimal are than can be targeted by a laser of a given wavelength is 1.22 * distance in M * wavelength in M / lens or mirror diameter in M.
For instance, if the concentration of the beam when fired is 20MW/m^2, the lens has a diameter of 5m, it fires blue-green light at 500nm and 2.5MW/m^2 is needed for a kill, then the kill-range of the laser will be 116000km. For a railgun projectile to be able to strike its target within a minute at that distance, it would have to travel at 1933.3km/s. Which will take several breakthroughs in electromagnetic acceleration technologies as it is presently unavoidable that any such projectile will absorb a fraction of the energy used to accelerate it. If it is to be fired at 1933.3km/s (which would still be quite easy to dodge), that fraction has to be very, very small.
Forget firing charged particle beams, they diverge ridiculously fast once they are no longer focused by an external magnetic field. In theory, they
could be kept reasonably coherent if they were fired at 99,999% or so of the speed of light, but in reality, the faster something is being accelerated, the less efficient that acceleration is going to be.
Missiles? Forget them. Yes they have unlimited range (unless they're so weak that they get stuck in gravity-wells) but they lack unlimited delta-v, and travel hideously slow in comparison to lasers. If you really love massive railguns and battleships firing at each other at close range, then I'd suggest handwaving in something like a "laser shield" that turns 100% reflective at all frequencies, thereby making lasers worthless. Otherwise it's just a plot-hole that lasers exist in-universe but are not used for some mysterious reason.
This is, of course, meant as constructive criticism. We're all in here to improve, right?