It is possible to make quantitative statements that I think capture many of the intuitions you assert. Here was one attempt: https://journals.aps.org/prl/abstr

It is possible to make quantitative statements that I think capture many of the intuitions you assert. Here was one attempt: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.103.080401 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.10... That particular proposal was mathematically wrong for reasons I still find physically perplexing (it turns out that for some events quantum theory allows for stronger memory records - defined via classial mutual information - of entropy decreasing events!). A simple example is in here: https://arxiv.org/abs/0909.1726 https://arxiv.org/abs/0909.1726 (I am second author).