At sufficiently large scales, spacetime curvature becomes empirically detectable through gravitational lensing and GPS corrections, making geometry empirically constrained, not underdetermined.

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Empirically constrained(as used in philosophy of science): Limited or determined by what we can actually measure and observe in the real world, rather than being left completely open to interpretation.
Empirically detectable(as used in epistemology and science): Something that can be observed, measured, or tested through real-world experiments rather than just imagined or reasoned about in theory.
Gravitational lensing(as used in astronomy and physics): The bending of light as it passes near massive objects due to spacetime curvature, allowing us to see objects behind them.
Spacetime(as one criterion for whether something is physically real): A physics concept combining space (location) and time into one continuous system—basically, every physical object exists somewhere at some moment in time.

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