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Heat, Sound and all movement are the result of energy having an effect on matter. The more energy you have the more you can change stuff. Those gears in your OP picture? they would be changing position (spinning) because of the energy put through the invisible rotors. Want to melt chocolate into a mold? You need energy. Energy changes stuff.
Dialectic is tenuously the change not of stuff but of thought. It is a nebulous term though that generally involves presenting an idea, a counter idea, to produce a third new idea: thesis, antithesis, and synthesis. To the best of my knowledge no such analogy exists for energy (Enthalpy?). Simply put: Energy has nothing to do with Dialectic and you sound like a pseud for trying to tie them together.
