Symmetric observations without symmetric causal explanations
- URL: http://arxiv.org/abs/2502.14950v1
- Date: Thu, 20 Feb 2025 19:00:00 GMT
- Title: Symmetric observations without symmetric causal explanations
- Authors: Christian William, Patrick Remy, Jean-Daniel Bancal, Yu Cai, Nicolas Brunner, Alejandro Pozas-Kerstjens,
- Abstract summary: Inferring causal models from observed correlations is a challenging task, crucial to many areas of science.<n>In order to alleviate the effort, it is important to know whether symmetries in the observations correspond to symmetries in the underlying realization.
- Score: 39.11025912171117
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Inferring causal models from observed correlations is a challenging task, crucial to many areas of science. In order to alleviate the effort, it is important to know whether symmetries in the observations correspond to symmetries in the underlying realization. Via an explicit example, we answer this question in the negative. We use a tripartite probability distribution over binary events that is realized by using three (different) independent sources of classical randomness. We prove that even removing the condition that the sources distribute systems described by classical physics, the requirements that i) the sources distribute the same physical systems, ii) these physical systems respect relativistic causality, and iii) the correlations are the observed ones, are incompatible.
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