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The formal structure of observational procedures. (English) Zbl 0582.00024

Semigroups, Proc. Conf., Clayton/Aust. 1979, 239-255 (1980).
[For the entire collection see Zbl 0561.00007.]
Observational procedures are characterised in terms of certain subsets of the Cartesian product \({\mathcal P}_*\times {\mathcal R}_*\) of free semigroups generated by a set of pointers \({\mathcal P}\) and a set of readings \({\mathcal R}\). Experiments, designs, objects, systems and states are defined in terms of pointer-readings. Temporal development in a non- relativistic setting is defined by a one-parameter semigroup of transformations of state-space.
Some formal analogies between the structure of observational procedures and the standard methods of quantum mechanics are discussed very briefly.

MSC:

00A99 General and miscellaneous specific topics
81P99 Foundations, quantum information and its processing, quantum axioms, and philosophy

Citations:

Zbl 0561.00007