# Why should the eigenvalues of random matrices reflect zeta function zeroes?

And also : Is this a particular property of 2 dimensional objects? Could random vectors also model the "universality phenomena" -- globally random distribution of zeroes combined with local repulsion of zeroes? Is this because matrices eigenvectors are orthogonal to each other, the orthogonality modeling the repulsion / mutual exclusion of the energy states of real systems? Are there any instances where CP decompositions of "random tensors" model physical systems ? Why matrices ?

-
wouldn't this be better suited for physics.stackexchange ? –  Glougloubarbaki Feb 7 '13 at 15:01