How a Quantum Theory Based on Generalized Coherent States Resolves the EPR and Measurement Problems
Abstract
It is shown that the quantum theory can be formulated on homogeneous spaces of generalized coherent states in a manner that accounts for interference, entanglement, and the linearity of dynamics without using the superposition principle. The coherent state labels, which are essentially instructions for preparing states, make it unnecessary to identify properties with projectors in Hilbert space. This eliminates the so called "eigenvalue-eigenstate" link, and the theory thereby escapes the measurement problem. What the theory allows us to predict is the distribution in the outcomes of tests of relations between coherent states. It is shown that quantum non-determinism can be attributed to a hidden variable (noise) in the space of relations without violating the no-go theorems (e.g. Kochen-Specker). It is shown that the coherent state vacuum is distorted when entangled states are generated. The non-locality of the vacuum permits this distortion to be felt everywhere without the transmission of a signal and thereby accounts for EPR correlations in a manifestly covariant way.
Cite
@article{arxiv.quant-ph/0104123,
title = {How a Quantum Theory Based on Generalized Coherent States Resolves the EPR and Measurement Problems},
author = {Daniel I. Fivel},
journal= {arXiv preprint arXiv:quant-ph/0104123},
year = {2007}
}
Comments
14 pages, Plain Tex