How many G's would you be pulling?
And, is that a ‘transit’ using steady acceleration for 7 days — in which case you blast by Mars doing a gazillion mph — or is it 3.5 days to mid-point, at which time you do a 180 and start decelerating (presumably maintaining a constant G load throughout?)
Anybody know how long a human can function under sustained multiple g-loads?
They now need to invent photonic brakes..........
He’s going to have to scale up the power considerably. I think RightWhale has it right... If my back of the napkin calculations are right, and If he can scale it up by a billion-fold (i.e., to 35,000 Newtons), a million kilogram ship (i.e., one of respectable size), starting at an initial velocity of zero, would travel about one kilometer towards Mars in a week’s time. LOL, not too good. So he’s going to have to scale up by a factor on the order of quadrillions or so.
In the simple case of a constant force (assuming a constant mass):
x(t) = x_0 + v_0t + 0.5 * a t² (x_0 and v_0 are assumed to be zero)
a = 2*x(halfway)/t² = 2*50e9 m/(3.5 days)² = 1.09 m/s²
This is about 1/9th of a g. If they had the capability to have 1 g of acceleration then the transit time would only be 56 hours (1/3 of a week).
F=ma
F = 35 µN
m = Mass of your spacecraft
Solve for a!
(Hint, not a lot of G’s, but you don’t need a lot as long as the acceleration is constant for a long period of time...)