Distinguishing Causality Principles
Mikl\'os R\'edei, I\~naki San Pedro

TL;DR
This paper analyzes and distinguishes four causality principles related to the Common Cause Principle, demonstrating their non-equivalence through algebraic quantum field theory analysis.
Contribution
It introduces a refined classification of causality principles and investigates their logical relations, highlighting their non-equivalence in quantum field theory.
Findings
The four causality principles are non-equivalent.
Algebraic quantum field theory clarifies the status of these principles.
The paper advances understanding of causality in quantum physics.
Abstract
We distinguish two sub-types of each of the two causality principles formulated in connection with the Common Cause Principle in [Hen05] and raise and investigate the problem of logical relations among the resulting four causality principles. Based in part on the analysis of the status of these four principles in algebraic quantum field theory we will argue that the four causal principles are non-equivalent.
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