4 ms·
My understanding is that there are multiple precisely equivalent formulations of classical mechanics (Newtonian mechanics being one of them, but then there's e.
by westoncb 8y ago
My understanding is that there are multiple precisely equivalent formulations of classical mechanics (Newtonian mechanics being one of them, but then there's e.g. Lagrangian mechanics[0] and other more exotic things).
Perhaps that doesn't cross your threshold for 'sufficient granularity'—but it took quite a bit of time to find the alternate formulations in classical mechanics (after Newton I mean), so just because we don't yet have them for certain more modern theories doesn't mean they aren't forthcoming.
Also, I'm pretty sure there are at least very nearly equivalent formulations of QM, e.g. the de broglie pilot wave stuff (often termed as an alternate 'interpretation', but my understanding is that the differences extend even to the level of mathematical formulation, and are not just some detached reflections on the 'meaning' of the theory or whatever.
[0] https://en.wikipedia.org/wiki/Lagrangian_mechanics https://en.wikipedia.org/wiki/Lagrangian_mechanics
- whatshisface 8y ago>so just because we don't yet have them I think the strongest argument for positivism is that you can generate arbitrarily many trivial "different but the predictions are the same" theories from any parent theory just by doing algebra. You can also generate arbitrarily many "the predictions are slightly different but our present experiments can't resolve it" theories from a parent theory by littering it with new, small constants and tiny interactions. Occam's razor will lead you astray about that, too: most of modern physics was at one time a small constant or a tiny interaction.