Weyl's own gauge geometry failed empirically because it predicted path-dependent atomic spectra, suggesting the inference from unification desiderata to geometric generalization is unreliable.
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empirically(as used in epistemology (how we know things))
Based on actual observations and real-world evidence rather than just ideas or beliefs.
path-dependent(describes how clock differences accumulate based on the specific path taken)
A situation where the outcome depends on the specific history of events that led to it, not just the starting and ending points—like how the total distance traveled matters, not just where you started and ended up.