You really don't get physics. You're completely missing the point that every single thing that transfers information costs energy. Period. You don't even understand the logic of two transactions always carrying a higher average energy cost than one transaction, even in the context of a blockchain.

You are moving any goalposts. I simply called out the original authors statements that violate the physical laws of the universe. Now you're in here adding a bunch of other things to the discussion that are irrelevant, and now acknowledging them as a "marginal cost." That's more than zero! That's my point. Two transactions always cost more than one.