Numerical search for fundamental theory

We propose a numerical test of fundamental physics based on the complexity measure of a general set of functions. The analysis can be carried out for any scientific experiment and might lead to a better understanding of the underlying theory. From a cosmological perspective, the anthropic description of fundamental constants can be explicitly tested by our procedure. We perform a simple numerical search by analyzing two fundamental constants: the weak coupling constant and the Weinberg angle, and find that their values are highly atypical. The analysis suggests that some fundamental constants might not be anthropic variables and could be derivable from first principles.