ON TIME DEFINITION AND THE SCHRÖDINGER'S CAT PARADOX

Abstract

The conventional tacit assumption according to which quantum processes take place in the Newtonian time topology is abandoned. The chronotopological space is based on the interaction proper time neighborhood. It is disconnected, satisfies the separation axioms of the topological space [Formula: see text], and is developed and used to solve some problems related to quantum field theory. In chronotopology the time evolution operator, [Formula: see text], breaks down into the alternative [Formula: see text] = either [Formula: see text]. The unitary, U, and the reduction, R, dynamics are implemented by means of two time evolution operators, [Formula: see text] and [Formula: see text], derived from a quantized version of Gel'fand's theory of the generalized random and infinitely divisible fields. As an application the solution of the paradox of Schrödinger's cat is presented.