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Quoting David Bowman <David_Bowman@georgetowncollege.edu>:
Here is my definition of energy.
Energy: The value of the mathematical expression that generates an
infinitesimal virtual displacement of a dynamical system in time.
This definition holds for both classical and quantum dynamical systems.
Energy can flow from one object to another.
It should not be just a mathematical value, but a physical entity.
Perhaps, energy is some kind of "neutrinos." :-)