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Murray Gell-Mann has an interesting take on Bell's theorem which pertains directly to Stephen Wolfram's thesis on modeling physical laws with cellular automata in his tome: 'A New Kind of Science', an analysis which took him over 20 years to complete. According to Murray, elegant models of physics involve fundamental laws in addition to the results of ...

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Although there's no consensus, I think that the vast majority of my physics colleagues would answer your question with a "yes", but acknowledging that we don't yet know for sure what that general law (jocularly referred to as the "Theory of Everything" or ToE) is. The above-mentioned principle of least action is a good start, but it's not the final word, ...

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I think the most real general law in our current physics is: physics strongly favors behavior that can accurately and reliably be described by mathematics. There is no particular reason why the symmetry-breaking model at the top of this site should be a useful description of something that has actually happened, might have left comprehensible evidence of ...

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No. In your examples you imply a will of objects for stability. There is no such will and the examples are select by the fact they show stability. Have a look at the second law of thermodynamics (I name it Death)...

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No. Otherwise physics would have been nothing more than application of mathematics. The closest to general laws is the summery. The conservation laws come from symmetry of different kind. Google for symmetry and momentum conservation for example.

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The principle of stationary action is what you're looking for. You can construct a quantity called the Lagrangian, which is kinetic energy of the system, minus the potential energy of the system, namely: $$\mathcal{L} = T-V$$ It is a function of position and velocity and for example, for a particle on a line, with a force acting on it, such that \$F = ...

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Well, there is at least a principle which states that system "tries" to minimize it's energy. As was also mentioned in comment above, in general I believe there is just Principle of least action, from which one can also derive conservation laws which are neccessary consequence of Lagrangian symmetry - Noether's theorem. (Action is integral of a ...

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