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.
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 |