Dear Jack ,
As I promised in my Essay page, I have read your peculiar Essay. Here are my comments:
1) You claim that Physicalism and mathematicalism are two distinct philosophies that we can choose. Why don't we choose an "overlapping" of both of them?
2) I like your statement that "Mathematics governs the changes in the physical world", but I am not sure that it implies that the connection between physics and mathematics is very clear, not at all mysterious.
3) You claim that "From a physicalist point of view, if that becomes possible, then the interpretation selected at each step will invariably be the one that agrees with physical reality". But are you sure that physical reality is unique? In quantum theory physical reality depends on the observer.
4) Actually, Newton assumption that bodies move along straight lines or remain at rest arises from Galileo's Inclined Plane Experiments.
5) Your claim that QM and RG properties are mysterious and do not conform to physical reality looks in contrast with their spectacular agreement with observations and experiments.
6) I regret, but your claim that Lorentz transformations are the basic equations of GR is a big mistake. They are the basic equation of the Special Theory, not of the General one.
I wish you best luck in the Contest.
Cheers, Ch.