23-6 Rudolf Lierenfeldt

Realistic Quantum Theory: Solving the Interpretation Problem (5266K, PDF) Feb 9, 23

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Abstract. In this monography an ontologically realistic theory of the quantum universe and its properties is developed. This theory is based on logic in the same way as mathematical theories are; in particular, every concept used (e.g. "quantum state") is given a precise definition. --- The theory starts with the canonical model, which states that, for every quantum system, each subspace of the Hilbert space has a unique truth value at every point of time. In order to avoid any problems with the Kochen-Specker theorem, factual instead of numerical properties are in the focus here. (Numerical properties are merely regarded as parameterized sets of factual properties.) A more general concept of probability than that of Kolmogorov is used in order to solve the problem of Bell's inequality. Appropriate deterministic laws as well as a law of probability are defined. --- The theory is proved to be logically consistent, so there do not arise any problems with no-go-theorems. Since quantum systems as well as quantum states are formally defined, there is no problem as to their interpretation, nor is there a "problem of measurement". Finally, the Copenhagen formalism is derived for the case of experiments that can be evaluated from a macroscopic perspective. The theory thus represents a systematic solution to the interpretation problem of quantum theory. --- A more detailed English summary can be found in the PDF document. --- This is a postprint of "Rudolf Lierenfeldt, Realistische Quantentheorie - Zur Loesung des Deutungsproblems", 2018, in German, 620 pages.

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