Yet another contribution to the P-NP question

I know the reputation that claims like these get, so I promise, I didn't
want to do this. But I've spent quite some time working on this document
that I feel it would be a shame if I didn't, at least, get it
criticized.
As you can probably tell, I have little formal education in Math or
Computer Science (though I would really like some), so I am not very
confident in the argument I have come up with. I also haven't been able
to get someone else to review the work and give feedback, so there might
be obvious flaws that   I have not picked up on because they have
remained in my blind spots.
In the best case, this may still be work in progress, so I will be
thankful for any comments you will have for me. However, in the more
than likely scenario that the argument is fundamentally flawed and
cannot be rescued, I apologize beforehand for having wasted your time.
I have placed the document in a Figshare project, and here is the DOI:
10.6084/m9.figshare.27106759