[MMM]

Whops, my post got deleted, apparently not by chance.
Sorry if i didn't state the question clear enough, but i think it's valid to wonder what ultimately determines the properties and the specific parameters of normal distributions (Gauss curve - why do you get a different variance when you toss a dice n times with variable n).
First principles. How deep down the ladder can we go today?

[mathematic]

Your questions is very confusing. What does your dice question mean? In general are asking a question about math or about physics?

[MMM]

It's a fundamental physics question. Maybe related to fundamental physical constants. Again, what is the underpinning for our specific statistical laws and what determines their numerical parameters.

[questionposter]

MMM, on 19 January 2012 - 10:19 PM, said:

Whops, my post got deleted, apparently not by chance.
Sorry if i didn't state the question clear enough, but i think it's valid to wonder what ultimately determines the properties and the specific parameters of normal distributions (Gauss curve - why do you get a different variance when you toss a dice n times with variable n).
First principles. How deep down the ladder can we go today?

There aren't "ultimate" determining factors. For years until he died, Einstein spent his time looking for "hidden" variables that would explain the random patterns found in nature and quantum mechanics that follow his philosophical beliefs of a grand "harmony" of deterministic mechanics of the universe.

What quantum mechanics has discovered is after a certain point, there are no more variables, things just happen, and there's no way to predict precisely what will happen with 100% certainty because of that.

This post has been edited by questionposter: 20 January 2012 - 12:20 AM