Some Implications of the Independence Postulate for Physics

TL;DR

This paper examines conflicts between the Independence Postulate and theories like Many Worlds and Constructor Theory, highlighting issues with their consistency and implications for physical processes.

Contribution

It identifies specific conflicts between the Independence Postulate and these theories, providing new insights into their foundational limitations.

Findings

The Many Worlds Theory predicts forbidden sequences in spin measurements.

Constructor Theory faces challenges in classifying possible and forbidden processes.

The Independence Postulate constrains certain theoretical predictions.

Abstract

The Many Worlds Theory and Constructor Theory are in conflict with the Independence Postulate. The conflict with the Many Worlds Theory is shown through the existence of a finite experiment that measures the spin of a large number of electrons. After the experiment there are branches of positive probability which contain forbidden sequences that break the Independence Postulate. Constructor Theory consists of counterfactuals, decreeing certain processes can or cannot occur. However this binary classification meets challenges when describing whether a forbidden sequence can be found or created.