The gearbox of a geared turbofan engine has 4 reducing gear small wheels being spun by a larger wheel or gear, simultaneously spinning the shaft that is attached to the fan.
That is 8 points of contact, two for each small wheel/gear meaning 8 the points where friction and subsequent heat would result. I gather the use of 4 small wheels/gears instead of one is for reducing the load on the teeth at each given point.
Would increasing the smaller gear wheels (i.e. the "planets" ) from 4 to 8 or 12 or 16 for a gearbox designed for an engine the size of a Trent 1000 or more render the gear teeth less likely to break or fail?
With some reinforcement on the teeth, would it be possible to make a gearbox for this large engine?
As for the extra heat, cooling and rotating the oil through a cooler or along the length of the aircraft several times over, exposed to the atmosphere at cruising altitude using a high pressure oil pump passing oil through a sealed gear box would take care of cooling.
With the ambient energy loses to heat would this render the engine a lot more fuel efficient and possible?