Not higher than having to perpetually secure a network by computation; which taken to the extreme is essentially a sure-footed destination to causing a black hole by argument of having to use all available space for computational security and incentives.
That is how it works, precisely. You secure the network with compute. A computer requires physical space to run a computation. Thus maximizes towards using all physical space for incentives driven by network security.
Are you telling me that there is not already physical evidence for such? I assure you there is plenty of evidence for physical space being assimilated by the incentive structures related to bitcoin and its progency.
Taken across time to a civilization that grows into further complexity, there exists a limit into how much space can be used to secure the network, and most likely even incentivizes maximizing capture of space for computational security therefore it accelerates our civilization towards creating a black hole. I couldn't come up with a better way to fast-track our way towards a cosmic environmental disaster. It's a pretty bad incentive structure long-term.