On the Quantum Creation of Matter in the Expanding Universe

TL;DR

This paper applies the Quantum Action Principle to quantum cosmology, modeling the universe's birth as a quantum creation process of matter from a stationary ground state, and analyzes the dynamics of the universe's scale factor post-creation.

Contribution

It introduces a novel application of the Quantum Action Principle to quantum cosmology, modeling universe creation with a stationary initial state and interpreting the signature change as universe 'birth.'

Findings

Universe creation modeled as a quantum process from a ground state.

Balance between matter and gravity achieved via quantum action stationarity.

Post-creation dynamics treated as classical evolution.

Abstract

Quantum Action Principle which has been used as a ground for a probabilistic interpretation of one-particle relativistic quantum mechanics \cite{GLL} is applied to quantum cosmology. The quantum creation of matter in a minisuperspace model with one homogeneous scalar field is considered. The initial state of the universe is defined as a stationary ground state of the Hamiltonian with the Euclidean signature in which the mean value of the universe radius is equal to the Plank length and the number of the scalar field quanta is equal zero. We interpret the change of the signature as the universe "birth". From this moment of time the dynamics of the scale factor is considered as classical. The real phase of the amplitude of the creation process is taken as a quantum action. The balance between matter and gravitation energies in the creation process is fulfilled by the condition of the stationarity of the quantum action with respect to the internal time of the universe.