The measurement in classical and quantum theory

Abstract The Bohigas-Giannoni-Schmit (BGS) conjecture states that the Hamiltonian of a microscopic analogue classical chaotic system can be modeled by random matrix from Gaussian ensemble. Here, this is considered in context recently discovered geometric relationship between and quantum mechanics. Motivated BGS, we whose counterpart performs walk family independent matrices unitary By accepting conjecture, find process observation physics, derive irreversibility describe boundary micro macro worlds.