Recent findings in quantum many-body physics confirm that fundamental properties like the spectral gap, phase diagrams, and thermalization are undecidable or uncomputable, establishing deep limitations on predicting macroscopic quantum phenomena.
The claim connects the undecidability of the spectral gap and related quantum undecidability results to fundamental predictive limits on macroscopic quantum systems. Papers [0], [1], [2], [5], and [6] all directly support this by demonstrating that properties such as thermalization, renormalization group flows, phase diagrams, and thermodynamic limit observables are uncomputable or undecidable. There are no papers contradicting this claim, making the verdict SUPPORTED.