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Springer eBooks

New Developments on Fundamental Problems in Quantum Physics

Miguel Ferrero, Alwyn van der Merwe

Published Jan 1, 1997• 72 citations
Publisher
DOI
10.1007/978-94-011-5886-2

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Failures in solving a number of physical problems associated with the structure of the microworld began due to two fundamental mistakes made in the old classical physics, when interpreting the results of the experiments of Oersted (1821) and Fizeau (1851). Because of them, it was not possible to develop a detailed understanding of the true structure of the atom; this was due to the inability of physicists to eliminate the indicated fundamental errors. Blaming the “classical” Newtonian methods for this failure, physicists proceeded to build a “new” physics - quantum theory and theories of relativity. Without realizing this, they brought into the new physics old fundamental errors that entered the paradigms of the new physics and made them inadequate. This is illustrated with specific examples.
In this paper, we consider multi-agent stochastic optimization and control problems, with partial information. The agent can operate in a distributed and asynchronous fashion. We investigate new problems that arise out of the interaction between observations and control actions by the agent. We show that new non-classical and non-commutative probability models are needed in order to properly formulate such problems. The models we develop here are inspired by models developed for dynamical physics problems. We establish a series of fundamental results for the trade-off between information and control patterns in distributed stochastic control, detection and estimation.