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by ModelTheorist12
2434 days ago
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Given a finite data set, an infinite number of functions/curves can explain it. This is curve-fitting 101 stuff. All explanatory models are either an over-fit or an under-fit to the data. With the fine print being "acceptable error rate". "The Earth is flat" may be wrong, but it could be acceptably wrong to me. This is tackled by model-dependent realism ( https://en.wikipedia.org/wiki/Model-dependent_realism ) and by this paper "To explain or to predict" ( https://arxiv.org/pdf/1101.0891.pdf ) |
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You can't charactierize your loacl approximation as a general theory because it will fail as soon as you scale up to horizon effects, and breaks completely when reaching planetary scale.
If you want to keep your flat theory in its applicable scale, fine. Just don't expect to project it outside of its useful scale.
Just like the Newtonian model works well until you reach the scales where relativistic effects demand the shift to relativity.