The benefits of using high octane fuel are many.
In comparison of 87 octane fuel and 93 octane of it's power to volume required, is that there is more of a requirement of 87 octane fuel compared to 93 octane fuel consumption to acquire a required amount of horsepower and speed, as well as produced torque. That a lower octane of 87 is not as volatile as 93. When compressed air and fuel are measured in order to obtain the exact measure of explosive strength, there is more volume of fuel required of 87 octane compared to 93 octane to reach the same amount of power.
So, if the volume of fuel required is less when using 93 octane compared to 87 octane, the amount of fuel consumption is less.
87 octane is not as resilient of avoiding pre-ignition (knock) as 93 octane. The more amount of fuel volume that is productive toward the ignition equals less waste of volume to acquire a certain output. As well, that the pre-ignition remnants are more than that of 93 octane. Which means that less of the volume was used to create ignition. There is intake and exhaust and air as well as more fuel is coming in, so there is an exhaust to push out the remnants of the effects of ignition. If more of the percent of fuel is being utilized and less percent of remnants are having to exit through the exhaust, then there are less emissions. Also to understand that all of the remnants are not exited through the exhaust system. Some of the remnants are now being baked onto the cylinder walls, the piston head, the valve heads, clinging to the area of the combustion chamber, as well as the exhaust system. Within the combustion area the remnants that are baked onto the cylinder walls are scraped by the piston rings, which get scraped down past the piston rings into the lower part of the engine where the oil for lubricating the engine exists at. contaminating the oil. As well of the piston ring scraping, during the explosive process of ignition which forces the piston downward, the remnants of the explosion are along for the ride and make their way past the piston rings in small amounts into the lower area of the engine where the oil is down to the bottom of the oil pan/holding area. That oil is the oil circulating throughout the engine and it's parts, and is causing the oil to become not so clean, meaning that the oil's ability to lubricate is lessening. The less an oil can lubricate, the more friction and wear is happening. The more friction, the less horsepower and less torque. (You place the oil in clean, which is a nice gold color and 3 months later, there is a dark brown to black oil that is being drained out in order to allow for clean oil to be placed in, in order to lubricate. Oil does burn and loses it's ability throughout use and time, though the engine using a higher octane has a less dark of brown/ or black oil appearance. That oil from the drain of the oil pan is the oil that has been circulating throughout the engine, not just what is in the filter. Dirty oil does not lubricate as well as clean oil. And the 87 octane leaves more remnants than the 93 octane.
For vehicles without having a computerized system, there is an understanding of ignition timing of advancing and retarding, for either fuel economy and sacrificing horsepower, or more horsepower and sacrificing fuel economy. Computer controlled engines are programmed for a certain fuel end result and will adjust the spark timing in accordance to it's program, as well as allow more or less fuel to be utilized to have a specified amount of miles per gallon usage. If the computer is set for 87 octane and it's result is 15 mpg, then when 93 octane is utilized, the computer adjusts the timing as well as the air/fuel mixture to keep the 15 mpg setting.
Not to exclude another part of the fuel system which gets affected, is the fuel filter. The fuel filter gets clogged due to it's doing it's job and capturing many impurities that are in the fuel, that they do not make it to the engine and it's parts. Within in time the fuel filter is clogged and it is replaced. Well the fuel filter is doing it's job. Just like a filter for brewing coffee. Coffee is not a clear liquid, the filter for it keeps the coffee particles of a certain size from going into the cup for you to drink, and the fuel filter keeps a certain size of particles from reaching the engine. The cleaner the fuel, the less clogging of the fuel filter will be, within the same amount of time.
Effort of your own and take at least two clear glass jars more jars/ glass depending on octane at the pump in choices and place some of each octane into it's own glass. Take a look and see if there is a differnce in appearance.
If you have a gallon of muddy water in exact volume of a gallon of clean water; in order to have the same consistency of clean water from the gallon of dirty water, that the dirt is taking up space, you will have less water of it's own from the muddy water than what you have of the water that is not muddy. Dirt takes up space and volume.
Oil, and fuel with regards to emissions is another topic.
as to my credentials, I do not have a Degree from any place of study as the like of College or University. That also my education is that from lack of bias and of a need and interest, not of payment. I am a consumer, not the producer of fuel. I need less fuel consumption, I need less maintenance, I need more horsepower, I need less emissions. I use 93 octane. I have used 87, 89, 91, and 94 octane. For my spending 20 cents a gallon more for using 93 octane with a 20 gallon tank has me spend 2 dollars more at filling up the tank. 1 mile to the gallon more in comparison to 87 octane does equate the same in spending for total miles driven. Also a cleaner system. I do however get more than 1 mile to the gallon more from using 93 octane in comparison to using 87 octane..