[Guille]

The actual title of this thread should be: The mayor aims of mathematics for the creation of the theory of everything. But as it is clearly too long, I choosed the present one. Ok, the question I want to make to aeveryone is:

What are the mayor goals that mathematics shoudl acheive, or on which mathematicians should centre, to acheive the TOE?

Please don't tell me: the development of mathematical physics. THis is obvious. It's clear that the TOE's mathematics shoudl mostly be mathematics for physics, such as lagrangian and hamiltonioan mechanics, thermodynamics, electrodynamics... What I'm looking for is the decision of brnahce so fmathematicsin which to centre the study and development, to impulse the ability to create a theory of everything.

In my opinion, the main aim of mathematics shoul dbe to unify and find relationships between the parts of itself that are important and haven't been related yet. Of course, developing new mathematics branches coul dbe helpfull, but we shoudl first devleop the present branches, and then go into new branches. The tow main areas of mathematics that haven't been unifyed and have if at all very little relationships are: PROBABILITY AND GEOMETRY. Yes, I know that they are apparently very far subjects of maths, but I have ocme along many problems that lead to the necesary unfication of these into something that could be called: Probabilistic Geometry or Geometric Probability. It doesn't matter hwo it's done, the fac tof managing something like that, would be the most important mathematical development since the invention of calculus by Newton or Leibniz (not and, or: it's either of them, one had to copy the other, coudln't be the same development, same time). I have tried to find relationships between the two, but the ahve really vry little,. so probably most of what connects the two areas would be new maths all. I now remember that when i asked Antonio if there exists any connection between probability and geometry and he could remember the works of someone I who's name I don't remember, but I remember it was about fractional dimensions, and all that. And this was not very logical in geomtrical forms.

Do you think the unification of probability and geometry will be important for the TOE?

I haven't included any math in this post because I didn't know where to start. But pleace, if you have or know about a principle by which we could start the unification, post the maths here.