Modelling an observer's branch of extremal consciousness

TL;DR

This paper models an observer's consciousness within a many-worlds framework using extremal order statistics, showing that the branch with the most recalled records dominates conscious experience.

Contribution

It introduces a unitary operator that simulates record generation, wavefunction splitting, and record recall, revealing how extremal branches dominate consciousness.

Findings

The model produces power-law distributed pseudostochastic behavior.

The largest record-recall branch contains nearly all conscious dimension.

Extremal statistics determine the dominant conscious experience.

Abstract

Extreme-order statistics is applied to the branches of an observer in a many-worlds framework. A unitary evolution operator for a step of time is constructed, generating pseudostochastic behaviour with a power-law distribution when applied repeatedly to a particular initial state. The operator models the generation of records, their dating, the splitting of the wavefunction at quantum events, and the recalling of records by the observer. Due to the huge ensemble near an observer's end, the branch with the largest number of records recalled contains almost all "conscious dimension".