alright. compression ratio is.....the volume of air that gets sucked in gets compressed to a certain ratio....and the final volume at TDC is the ratio.
so if a piston sucks air in and its the lowest part....thats the max volume in the cylinder...on a 10:1 compression ratio engine....when the piston goes to compress that air and fuel it just brought in...it compresses it to 1/10 the initial volume.
Now depending on the initial amount of air molecules and fuel that were sucked in, in the beginning of the stroke(bottum of stroke), depends on the compression inside the cylinder. Compression is what makes power....thats why people put higher compression pistons in a car....but adding more compression(either by adding higher cp pistons or turbo) will increase the chance for preignition.....exploding before the spark plug ignites.
This occurs because more air is getting sucked in or the air is getting compressed further......now when the air gets compressed the air molecules start moving into smaller and smaller area with not much time to diffuse. This creates lots and lots of heat since air molecules and fuel are getting jammed into a smaller and smaller area with no time to go to a steady state. This heat may reach a certain temp where the gas/fuel mixture explodes....which may be on the up stroke of the piston...causing preigntion.
a turbo forces air molecules in, more Oxygen molecules means more fuel can be burned...as goes for nitrous, N20....(nitrogen acting as a buffer) these increase piston cylinder pressure which creates larger explosions, resulting in more HP. BUT higher octane gas will be needed.
The octane rating corresponds to the temp at which it burns at...higher octane gas resists burning/exploding till a higher temp.
a turbo creates a lot of heat cause 1, your jamming more air into the cylinder...like I said before...more air molecules are bouncing around in the cylinder when getting compressed into a smaller volume, with no time to diffuse....which creates tons of heat.
and also its hot because your running exhaust through the turbine.....this exhaust alone is hot as fucking shit...and its hotter cause you keep jamming more air into a cylinder thats already making more heat from the turbo itself....then your jamming hotter air in cause the turbo is heating the incoming air.
intercooler

cools the air coming in.
the name of the game is air/fuel in....exhaust out as fast as possible........and more Oxygen means more fuel...which means more power.