Higher octane burns slower, therefore isn't done burning by the end of the bang(*) cycle, and hasn't had the force of a lower octane, faster burning fuel. To compensate for this, you would need to start the burn sooner by changing the ignition timing, and maybe delay the exhaust valve opening. What's happening in your mind is even more wrong. You've been brain washed to think "bigger is better", and somehow higher octane is making your engine more powerful, when the opposite is true. Sorta like when you take the muffler off your minibike. It's louder, but it's really not any faster.
(*) Suck, Squeeze, Bang, Blow= the 4 cycles of a 4 cycle engine. Suck = intake, squeeze = compression, Bang = burn(wrongly characterized as an explosion), and blow = exhaust.
The bottom line is this. Unless you have a PHD in engineering, stick with what the maker suggests. Some really smart people designed your engine. You really don't think that you're smarter than they are, do ya? Repair shops all over love people who think they know better. They refer to this as " someone took a golden screwdriver to it".