A curious fact about Newtonian Mechanics: It explains and accurately models pretty much all mechanical motion observable by unaided human senses. But soon as you build some sophisticated experimental appratus it breaks down. eg. Mercury precession or double slit.
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The mathematical "reason" is that at low energies all potentials are linear or quadratic, or the inverse square of planetary motion.
But that doesn't explain why at a very wide variety of length scales, all human-sense-observable phenomena settled down to such energies.