You never know. This could be a whole new way of analyising all sorts of things such as permutation groups which could be very useful if the method us analysed in a mathematical sense.
The method *is* derived and formed from mathematics in my book. I start from the mathematical basics and definitions (using common terminology and then using new terminology for new concepts), and I build and build in complexity throughout the text on proving Per's commutator conjecture. I present this general solving approach in the very last chapter following the theory from which it was created.
Don't misunderstand me. You won't have to read (and understand)
everything in the book to be able to use this solving approach, just as you don't need to understand everything in a math textbook to solve a problem in it. However, being able to have an idea of different possible solutions, relationships, and interconnections requires you to read and understand everything within the text.
So those well-versed in such mathematical content that you mentioned can immediately see whether it has applications or not. Those that are not can probably learn quite a lot (since I start from the basics) and then do some research and then find out.
Also, Chris, in the current incarnation will this be at all good for speedcubing on any size of cube or minx or will it be a method which is FMC-like (not in terms of efficiency but in terms of approach)?
I'm not sure what you mean exactly.
I know that this is not a speed focused method but I was just wondering if any of it was transferable, especially on the bigger cubes.
Since you allow any possibility (including exceptions), I can presume that the answer is yes.
This solving approach can help us see algorithms from a different perspective, but I cannot make any promises about its current incarnation in regards to big cube FMC (because I don't do FMC) and speedsolving (because I don't consider myself a speedsolver).
In addition, I'm not sure why you are asking these questions because that is not what this thread is about.
What kind of reward are you expecting? I'm not sure what kind of grandiose scenario you are imagining. Is it really a shock that big claims followed by no substantiation would be result in some people not believing you?
When someone who can help me achieve my goal asks me to prove what I say is true, I will. I haven't got any feedback from anyone who can/is willing to. So what you're asking
does not apply.