Cosmological Quantum Jump Dynamics I. The Principle of Cosmic Energy Determinacy, Equations of Motion, and Jumps Probabilities

TL;DR

This paper proposes a quantum jump dynamics model for the universe, ensuring energy determinacy by incorporating jumps at energy level branch points due to metric-dependent Hamiltonian changes.

Contribution

It introduces a novel quantum jump framework that maintains cosmic energy determinacy, addressing the universe's energy eigenstate evolution over time.

Findings

Quantum jumps occur at energy level branch points.

The model ensures energy determinacy throughout cosmic evolution.

Provides a consistent dynamics for universe's quantum state transitions.

Abstract

The universe, as a closed system, is for all time in a state with a determinate value of energy, i.e., in an eigenstate of the Hamiltonian. That is the principle of cosmic energy determinacy. The Hamiltonian depends on cosmic time through metric. Therefore there are confluence and branch points of energy levels. At branch points, quantum jumps must happen to prevent the violation of energy determinacy. Thus quantum jumps are a reaction against the propensity of the universe dynamics to that violation. On the basis of this idea, an internally consistent quantum jump dynamics is developed.