Actually there is.Does it require the expenditure of energy to compute 1+1 ??? ... there's no law of physics that says so ....
That sounds pretty definite ....Actually there is.
Hmmmmm...I can't say I know the details....
Well I'm Certain it doesn't require energy to store data .......but I'm pretty sure that information theory does require the use of energy to store and manipulate data.
I don't know much about Information Theory but I do know that there is a change in the entropy of the system depending on what happens to the "information" contained in a system. If the change in the amount of data can alter the entropy then the system should follow the laws of Thermodynamics. So the internal energy of the system might be able to change.I admit am pulling together a few bits and pieces from articles I have read
(rather than a deep understanding of the subject) to make my statement.
One is the resolution of the "Maxwell's Demon" paradox.
The energy required by the demon to process information (of which particles are hot and which are cold) solves the paradox.
Another piece of evidence is the "firewall paradox" caused by the energy associated with the information lost as things fall into a block hole.
I am sure I have come across other articles which link information and energy,
I just can't bring any other specific examples to mind.