Toy observer in unitary evolution: Histories, consciousness, and state   reduction
  For a toy version of a quantum system with a conscious observer, it is demonstrated that the many-worlds problem is solved by retreating into the conscious subspace of an entire observer history. In every step of a discretised time, the observer tries to "see" records of his past and present in a coherent temporal sequence, by scanning through a temporal fine-graining cascade. The extreme most likely occurs at the end of some branch, thus determining observer's world line. The relevant neurons, each with two dimensions, are power-law distributed in number, so order statistics implies that conscious dimension is located almost entirely in the extremal branch. 
Lutz Polley
quant-ph