> Markov blankets, to the best of my knowledge, have never been derived, either precisely or approximately, for physical systems
This paper does just that. It introduces a ‘blanket index’ by which any state space can be analyzed to see whether a markov blanket assumption is suitable or not. Quoting MJD Ramstead’s summary of the paper’s results with respect to the markov blanket assumption:
We now know that, in the limit of increasing dimensionality, essentially all systems (both linear and nonlinear) will have Markov blankets, in the appropriate sense. That is, as both linear and nonlinear systems become increasingly high-dimensional, the probability of finding a Markov blanket between subsets approaches 1.
The assumption I find most problematic is that the environment is presumed to be at steady state
Note the assumption is that the environment is at a nonequilibrium steady state, not a heat-death-of-the-universe steady state. My reading of this is that it is an explicit assumption that probabilistic inference is possible.
This paper does just that. It introduces a ‘blanket index’ by which any state space can be analyzed to see whether a markov blanket assumption is suitable or not. Quoting MJD Ramstead’s summary of the paper’s results with respect to the markov blanket assumption:
Note the assumption is that the environment is at a nonequilibrium steady state, not a heat-death-of-the-universe steady state. My reading of this is that it is an explicit assumption that probabilistic inference is possible.