Dmitry67
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Fra said:I think this questions reveals that you may have a different idea of what the theory is like than me. I think the answer depends on it's evolutionary state. Ideally each parameters is a result of an evolutionary history, and if you loose the information of the history, then you end up with a "free parameter", but it really isn't "free", it's just that you might have lost track of it.
Then there are laws of that evolution. If these laws are included in the TOE, then parameter is not free. If it is not included, then it is not TOE (by the definition of TOE)
But let me back up to the question about the model. What is a difference between model and reality, map and territory? Imagine that TOE equations look like
F(Y)=0
where F is formula. Y is some variable (complex? quaternion?). If appears that this equation can be solved only when Y is a variable in (real, complex, quaternion, something more complex) K-dimensional space. Based on the equation, the value of Y tends to compactify to something which appears to be a string. Different vibration modes manifest as different particles, etc, etc, you get the idea.
It is important that you don't need any words. You can derive anything from this formula.
Now your turn.
A. You can say "F(Y)=0 is just a formula, just a model. It is not a reality"
Then please tell me what a "reality" is and what it is made of.
B. You can say "TOE won't look like a set of formulas. We will need formulas and something extra"
Then your turn - please give any example of a physical property which can not be expressed in the mathematical terms.
So far we had no such examples (expect may be consciousness)
C. Finally you can say - there is an infinite sequence of TOE's, and no final, ultimate TOE. As I said, it would be depressing but I don't have any contre arguments.