Observer in Quantum Cocmology
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Abstract
A mechanism for the decoherence of the quantum state of the universe is proposed. It reduces to local observation in a certain region, which we call the “observer.” The observer differs from the rest of the universe by an additional condition—the Noether identity for the energy-momentum tensor of matter. This additional condition is introduced into gravity theory using undetermined Lagrange multipliers, which act as new independent variables in the region of observation. This modification does not violate the covariance of the theory and also implies a covariant quantization method. The quantum principle of least action, based on the generalized canonical De Donder-Weyl representation, is proposed as such. The real part of the eigenvalue of the De Donder-Weyl action operator is proposed to be considered as an action functional for the quantum universe with an observer.
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