Modified Relational Quantum Mechanics

TL;DR

This paper proposes a modified relational quantum mechanics framework where observers have internally consistent but potentially differing descriptions of the universe, emphasizing the epistemological and relative nature of the state vector and entanglement observations.

Contribution

It introduces a new version of relational quantum mechanics that clarifies the observer-dependent descriptions and the nature of entanglement states.

Findings

Observers can have consistent yet different universe descriptions

Entangled systems observe themselves in specific Schmidt states

State vectors are epistemological and observer-relative

Abstract

A modified version of relational quantum mechanics is developed based on the three following ideas. An observer can develop an internally consistent description of the universe but it will, of necessity, differ in particulars from the description developed by any other observer. The state vector is epistomological and relative to a given quantum system as in the original relational quantum mechanics. If two quantum systems are entangled, they will observe themselves to be in just one of the many states in the Schmidt biorthonormal decomposition and not in a linear combination of many.