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Springer eBooks

Feynman’s Interpretation of Quantum Theory

H. D. Zeh

Published Aug 4, 2011• 6 citations
Publisher
DOI
10.1007/978-3-642-21890-3_14

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Quantum mechanics admits a “linguistic interpretation” if one equates preliminary any quantum state of some whether quantum entity or word, i.e. a wave function interpret-able as an element of the separable complex Hilbert space. All possible Feynman pathways can link to each other any two semantic units such as words or term in any theory. Then, the causal reasoning would correspond to the case of classical mechanics (a single trajectory, in which any next point is causally conditioned), and the probabilistic reasoning, to the case of quantum mechanics (many Feynman trajectories). Frame semantics turns out to be the natural counterpart of that linguistic interpretation of quantum mechanic
The basic ingredients of the groupoid interpretation of Quantum Mechanics are discussed. Starting with the motivation to consider measure groupoids as the appropriate statistical and kinematical setting to describe quantum mechanical systems, the algebra of observables of the system is constructed as the von Neumann algebra of the groupoid. The interpretation of the theory for classical systems is briefly analysed. As a final application of these ideas, Feynman's sum-over-histories interpretation of the theory is discussed in the groupoid picture.
This paper interprets the Feynman path integral, which is a fundamental concept of modern quantum theory, from the perspective of QTIP cosmology. In this interpretation, the conventional Feynman path integral is redefined through the information processing and representation structure of QTIP cosmology, and through this, it is shown that the corresponding path integral can be interpreted as an equation representing the path structure resulting from Tick (T4)-based state transition and the real -domain expression of absolute information proposed in QTIP cosmology.