Classical and Non-Classical Representations in Physics II: Quantum Mechanics
نویسنده
چکیده
The conceptual and formal structure of quantum mechanics is analysed from the point of view of the dynamics of distinctions, occcuring during the observation process. The Hilbert space formalism is simplified with the help of the concept of closure: closure of an eigenstate under an operator is generalized to the linear closure of a subset of states, and this is further simplified to orthogonal closure, meaning that a set of states can be distinguished by a single observation. Quantum states can be seen as (overlapping) subsets of unobservable infra-states, with the transition probability between two states proportional to the number of infra-states they have in common. This makes it possible to reconstruct the superposition principle. An analysis of the observation process leads to the interpretation of closed sets of infra-states as attractors of the dynamics induced by the interaction with the observation apparatus. This interaction is always partially indeterminate, because of the unobservable microstate of the apparatus.
منابع مشابه
Classical and Non-Classical Representations in Physics
Dynamical representations used in physics are analysed from a "second order" viewpoint, as distinction systems constructed by an observer in interaction with an object. The creation, conservation and destruction of distinctions can be understood on the basis of a distinction dynamics. The fundamental mechanism is the variation through recombination and selective retention of closed combinations...
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