Symmetric observations without symmetric causal explanations

ArXi:2502.14950v2 Announce Type: replace-cross Inferring causal models from observed correlations is a challenging task, crucial to many areas of science. In order to alleviate the computational effort when sifting through possible causal explanations for some given observations, it is important to know whether symmetries in the observations correspond to symmetries in the underlying realization so that one can quickly discard impossible explanations. Via an explicit example, we nstrate that, in general, symmetries cannot be exploited to reduce the hypothesis space.