Very high degree of confidence that from the data just native to bitcoins blockchain that each block has a deterministic amount of energy in joules.

You can sum up every block from Genesis to present and divide by current existing supply to get an average joules per satoshi.

However each UTXO has the energy crystallized into the data structure, but we know from observation of matter that energy distributes equally to all parts of matter within a closed system over time.

Energy, matter, entropy. I’ll ping you when the paper is done. Just have to write a compelling story; the rabbit hole only half dug.