I wonder has anybody successfully downsized the gearbox in a race car by overdriving the input from the engine, effectively reducing the torque requirement for the standard gearset. It seems like the gear set would be able to handle less torque at higher rpms with reduced mass. Of course the inertia may remain the same, but overall mass of the car may be reduced.
I was thinking of using either a spur gear or planetary right on the engine in place of the flywheel to increase rpm, with a downsized clutch and transmission, and of course an equal reduction built into the pinion and crownwheel to turn the axles at the normal speed relative to engine rpm.
Alternatively, a reduced mass standard crown wheel and pinion could be used and a further reduction introduced at the upright with another set of spur gears, allowing the axle mass to be reduced as well, at the expense of extra mass in the upright, but also allowing more ground clearance for aerodynamic gains with a larger tunnel/diffuser or a lower Cg if inverted allowing a low mounted gearbox.