Value is individual satisfaction of desires. Satisfaction is not a conserved quantity. Price is the collective tension between different forms of satisfaction on one hand, and the physical limitations on the other. This is where one could find a connection with "energy": the boundary condition imposed by physics on satisfaction. However, "energy" is not the limiting quantity of that satisfaction (even though it DOES play a role). There are many other resources which are limiting satisfaction, and which induce price.
(if there were no limiting factors on satisfaction, then all prices would be zero, like air to breathe).

So first of all, value is not strongly related to energy. Price is not strongly related to energy.

But moreover, the price of a monetary unit has more to do with the relative desire to hold satisfaction for tomorrow versus having it today (with a friction imposed by the amount of exchange one can and wishes to perform per unit of time).

After all, the price of a monetary unit is essentially given by Fisher's formula: P x Q = M x V
(inverse monetary price unit times number of unit price trades of goods and services equals 
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