With our notion of ESF we may mitigate the "natural" gap between subject and object, and improve relevant views. But whether we correctly judge the boundary [between subject and object] which is an existentially functional one, is a different question.
The attempt of physicalizing the mind-like is not at all hopeless anyway, albeit that a total solution cannot be expected. But one will surprisingly advance and be able to describe much of it mathematically, and profit by the fact that the mathematical -- especially that part of it which still has, for special treatment, to be developed -- is not insignificanly "mind-like".