We present a complete interpretation theory in the following sense: we observe that each measuring device represents a concept set (such as the set of locations) while the measurement activity associates the measured object with an appropriate member from the concepts set. In that sense, the measurement process is the only interpretation of reality. In this article, we deal with the evolution of this interpreting measuring device for a 2-d Hilbert space. It is shown that nonlinear recursive maps give rise to a unique projective operator accompanied with the collapse ability and consequently to a measuring device. Our formalism can be easily interpreted as a single brain signal.
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