Can anyone think of a good topic for a statistical study relating to physics? Specifically fundamental physics

Answer 1

Monte Carlo calculations for velocity distribution of non Ideal gases, atomic and molecular, or plasmas in EM fields etc, That is situations where analytic distribution functions don't work.
http://en.wikipedia.org/wiki/Monte_Carlo_method
OR
Can you distinguish chaotic systems from random behavior by statistical measures?
OR
Error in the estimate of radioactive half life from number of decays in a time interval