Everett's Missing Postulate and the Born Rule

Abstract

Everett's Relative State Interpretation has gained increasing interest due to the progress of understanding the role of decoherence. In order to fulfill its promise as a realistic description of the physical world, two postulates are formulated. In short they are 1) for a system with continuous coordinates $\vec{x}$, discrete variable $j$, and state ${\psi }_j(\vec{x})$, the density ${\rho }_j(\vec{x})=|{\psi }_j(\vec{x}){|}^2$ gives the distribution of the location of the system with the respect to the variables $\vec{x}$ and $j$; 2) an equation of motion for the state $i\hslash {\partial }_t\psi =H\psi$. The first postulate connects the mathematical description to the physical reality, which has been missing in previous versions. The contents of the standard (Copenhagen) postulates are derived, including the appearance of Hilbert space and the Born rule. The approach to probabilities earlier proposed by Greaves replaces the classical probability concept in the Born rule. The new quantum probability concept, earlier advocated by Deutsch and Wallace, is void of the requirement of uncertainty.

References in corpus (5)

• Self-Locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics
• Quantum Darwinism, Classical Reality, and the Randomness of Quantum Jumps
• Does it Make Sense to Speak of Self-Locating Uncertainty in the Universal Wave Function? Remarks on Sebens and Carroll
• All is Psi
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Cited by in corpus (1)

• Born rule: quantum probability as classical probability