Testing Many-Worlds Quantum Theory By Measuring Pattern Convergence Rates

TL;DR

This paper proposes a test for the Many-Worlds Interpretation of quantum mechanics by measuring how quickly observed frequencies converge to the Born rule, providing an experimentally accessible way to validate or falsify the theory.

Contribution

It derives a specific, testable convergence rate formula for the Born frequencies under the Many-Worlds Interpretation, linking theory with experimental measurement.

Findings

Convergence rate of 1/N to Born frequencies predicted by MWI

Provides an explicit formula for testing MWI experimentally

Suggests a new empirical approach to validate quantum interpretations

Abstract

The Born Interpretation of the wave function gives only the relative frequencies as the number of observations approaches infinity. Using the Many-Worlds Interpretation of quantum mechanics, specifically the fact that there must exist other versions of ourselves in the multiverse, I show that the observed frequencies should approach the Born frequencies as 1/N, where N is the number of observations. In the body of the paper I state this convergence rate precisely as AN EASILY TESTABLE FORMULA. We can therefore test the central claim of the MWI by measuring the convergence rate to the final Born frequency. Conversely, the MWI allows us to calculate this convergence rate.