Why every object in universe want to minimize their potential energy?
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This is a physical rather than a mathematical justification - ignore my answer if that isn't what you wanted!
All systems have some thermal motion so they explore the phase space in their immediate vicinity. If there is a nearby point with a free energy lower by some amount ΔG then the relative probability of finding the system at that point will be exp(−ΔG/RT). So if the energy is minimised by moving to that point, i.e.ΔG<0, we just have to wait and we'll find the system has moved there. The only place in phase space the system won't move is when the free energy is at a (local) minimum. That's why a system always (locally) minimises its free energy if you wait long enough.
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Explanation: I don't know how to do it thanks
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