Non-Unitary and Unitary Transitions in Generalized Quantum Mechanics, New Small Parameter and Information Problem Solving

Abstract

Quantum Mechanics of the Early Universe is considered as de- formation of a well-known Quantum Mechanics. Similar to previous works of the author, the principal approach is based on deforma- tion of the density matrix with concurrent development of the wave function deformation in the respective Schr¨odinger picture, the as- sociated deformation parameter being interpreted as a new small parameter. It is demonstrated that the existence of black holes in the suggested approach in the end twice causes nonunitary transi- tions resulting in the unitarity. In parallel this problem is considered in other terms: entropy density, Heisenberg algebra deformation terms, respective deformations of Statistical Mechanics, - all show- ing the identity of the basic results. From this an explicit solution for Hawking’s informaion paradox has been derived.