Extreme-value statistics of dimensions determining an observer's branch of the world?

TL;DR

This paper conjectures that in a many-worlds framework, the dimension of the Hamiltonian's processing near an observer's end is predominantly confined to a single branch of their wavefunction, using decoherent histories and extreme-value statistics.

Contribution

It introduces a novel conjecture linking extreme-value statistics with the distribution of Hamiltonian dimensions across branches in many-worlds quantum mechanics.

Findings

Supports the conjecture with theoretical arguments

Suggests most processing occurs in a single branch

Provides a new perspective on observer's branch dominance

Abstract

In a many-worlds framework, combining decoherent histories and extreme-value statistics, it is conjectured that the (matrix) dimension of the Hamiltonian processing records and memories near the end of an observer's history is almost entirely located in a single branch of his/her wavefunction.