A quantum measure of the multiverse

Abstract

It has been recently suggested that probabilities of different events in the multiverse are given by the frequencies at which these events are encountered along the worldline of a geodesic observer (the "watcher"). Here I discuss an extension of this probability measure to quantum theory. The proposed extension is gauge-invariant, as is the classical version of this measure. Observations of the watcher are described by a reduced density matrix, and the frequencies of events can be found using the decoherent histories formalism of Quantum Mechanics (adapted to open systems). The quantum watcher measure makes predictions in agreement with the standard Born rule of QM.

21 pages, no figures; references added in v.2

References in corpus (8)

• Properties of the scale factor measure
• Eternal observers and bubble abundances in the landscape
• The Born Rule Dies
• Solution of the Lindblad Equation in the Kraus Representation
• Non-singular bounce transitions in the multiverse
• Non-singular AdS-dS transitions in a landscape scenario
• Many worlds and the emergence of probability in quantum mechanics
• Derivation of the Quantum Probability Rule without the Frequency Operator

Cited by in corpus (7)

• The Multiverse in an Inverted Island
• The interacting multiverse and its effect on the cosmic microwave background
• Implication of island for inflation and primordial perturbations
• Supersymmetric Majorana Quantum Cosmologies
• Inflation in Random Landscapes with two energy scales
• Gravi-Weak Unification and the Black-Hole-Hedgehog's Solution with Magnetic Field Contribution
• Observational Imprints of Our Lost Twin Anti-Universe