Thanks for your question @Lucretius and welcome to the forums!
In principle this is possible. The main requirement for Monty is that it is embedded in a setting where sensorimotor loops are possible - that is, the system can “move”, resulting in a change in what is perceived. Importantly, this movement does not need to be in physical space, and could consist of a variety of actions. For example, you can imagine a system navigating a digital network, where movement occurs between interconnected nodes, and where different nodes are associated with different network information. Alternatively, you could imagine a conceptual space where movement consists of conducting an experimental intervention and observing how a system changes. Considering how your problem is sensorimotor is therefore the most important aspect.
Re. higher dimensional spaces, a system like Monty could theoretically work in spaces that have more than 3 spatial and 1 temporal dimension. We have so far constrained ourselves to 3 or less, as it is likely that humans are limited to modelling 3D spaces - given the advancements of human science and technology, this is already very powerful - and moving beyond this constraint complicates matters. Practically, Monty’s code is limited to 3 spatial dimensions, with no plans on changing this in the near term, as our research efforts are currently focused on integrating time into the system. In the long term, we might revisit this assumption.
You might be interested in reading our FAQ on using Monty for scientific models, as well as this discussion on using Monty for a non-physical space. In general the main point is that, if you can find a way of defining movement in your space of interest, then Monty could potentially be applied. In terms of dimensionality, I would recommend seeing if the system you are interested in could be formulated in 3D space. If you cannot, then you would need to implement a custom ObjectModel class that extends beyond the currently implemented 3D cartesian space; in that case, you might be interested in this brainstorming on coordinate systems.
Hope that helps and let me know if I can clarify anything else.