In this paper I offer an overview of the possible links between psychoanalytical metapsychology and contemporary work in neuroscience concerning entropy and the free energy principle. After briefly describing the theory of living systems put forward by the neuroscientist Karl Friston based on the notion of entropy, we sum up the use of the notion of free energy by Friston and Freud. I then analyze how these notions improve the intelligibility of psychic functioning and can be associated with several psychoanalytical concepts, in particular the death drive. I approach from the same perspective the regulation of free energy associated with psychic envelopes and early intersubjectivity. It thus appears that the psychic apparatus can be considered at its different levels, from the most primary to the most secondary, as having the essential function of reducing entropy and free energy. Various forms of "failure" of this process of linking, regulation and transformation of energy within the psychic apparatus could be considered as the origin of different psychopathological manifestations as suggested in the last part of this paper.
Keywords: Free energy; death drive; dream; entropy; free association; psychic envelopes.