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Each bad model that is learned is typically a valid model on some energy/velocity/ mass scale. Newtonian mechanics is a valid for sub-lightspeed velocities. Sol
by montecarl 7y ago
Each bad model that is learned is typically a valid model on some energy/velocity/ mass scale. Newtonian mechanics is a valid for sub-lightspeed velocities. Solving those problems using full general relativity is possible, but not useful. Modeling molecules as masses connected by springs is valid on short time scales and low energies. You can go on and on. These models are not "bad", they are just approximations that are only valid for a subset of all problems. Without these approximations, you cannot even solve most problems.
Its not like you want to teach and understand all of chemistry from a quantum chromodynamics perspective. Perhaps I misunderstood your point, but the history perspective is useful, because each of the models builds upon one another and slowly reveals the stranger and harder to describe parts of nature.
- dogma1138 7y agoNewtonian mechanics fails only at extreme scales as far as mass is concerned, to break it completely you need to solve it for the entire mass of the universe, or for a singularity (the latter breaks GR too). Newtonian mechanics is still the primary tool for astrophysics, and anything we do in space. In some cases PPN is used but no one is solving non linear equations outside of extreme cases which are usually theoretical.