What happens if we cross physics with Scheme?

The data structures in Scheme (and for that matter, also in Lisp) can be used to model different realities. Functional programming corresponds to closed systems, which evolute in time without interaction with their surroundings beyond initial conditions and harvesting of computation results. Imperative programming corresponds to open systems, which interact with their surroundings and their state contains a record of such interactions which occurred in the past.

So I am wondering whether additional models of reality can be investigated by means of Scheme. Such as open systems, which hold memory of both past and future events.

In my Google search, I found only the following:
SCMUTILS Reference Manual, which is referred to by Christopher Browne’s Web Pages. However SCMUTILS is not what I am looking for.

Source of inspiration: chapter 3 of the SICP 2nd edition.

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