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Toy observer in unitary evolution: Histories, consciousness, and state reduction

2014/05/26 by Lutz Polley, Polley, Lutz
Physics and Astronomy · #81P99 #FOS: Physical sciences #Quantum Physics (quant-ph) #msc:81P99 #quant-ph

paper · pdf · doi:10.48550/arxiv.1405.6508

22 pages, no figures

arxiv created 2014/05/26 · arxiv updated 2014/05/27

Abstract

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.

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