Thank you Tom for your kind words on your page about my work and graphics. Here is what I responded:
I do understand and respect how science works and am puzzled why you think I do not ! You quote from my Beautiful Universe theory which, as I stated at the outset, is an incomplete and speculative model of how the universe might work. I know I have not treated my ideas mathematically but I have certainly thought out their physical implications. For example in an absolute discrete universe in which signals travel at a maximum of c but at slower rates in regions of higher potential, moving meter sticks get shorter and moving clocks tick at a slower rate, not space and time as dimensions distort. Hence a physics bypassing SR and GR is possible. I did not yet prove it mathematically, but it certainly played out from physical arguments I expressed in words and figures.
The math can be added later but the physical ideas have to come first. That is how Einstein worked - he thought of the weightlessness of a falling man, and it took him (and Grossman) 10 years to clothe the idea mathematically into his General Relativity theory of gravity. I do not see what the problem is with my how I do physics - ideas first and the math to be detailed later.
In no way do I downplay the importance of mathematics in describing physical ideas. In my fqxi essay I try to show why it can describe physics at its own level so well. What I do object to (the tricky part) is that mathematics is so prodigious it can also describe scenarios that have no parallel in Nature. Kepler's ellipses yes, Ptolemy's epicycles no. Both described the same phenomena - is it wrong for me to say we must choose the scenario that is closer to how nature actually works?
And even if I take your advice and work only with mathematics I would say I work with geometrical ideas - a friend swears only algebra can describe Nature. It is all fun, and in the end what advances physics will remain.
With appreciation and all best wishes,
Vladimir.