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An Abstract Theory of Physical Measurements

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Abstract

The question of what should be meant by a measurement is tackled from a mathematical perspective whose physical interpretation is that a measurement is a fundamental process via which a finite amount of classical information is produced. This translates into an algebraic and topological definition of measurement space that caters for the distinction between quantum and classical measurements and allows a notion of observer to be derived.

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Acknowledgements

Work funded by FCT/Portugal through project UIDB/04459/2020.

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  1. Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001, Lisbon, Portugal

    Pedro Resende

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Resende, P. An Abstract Theory of Physical Measurements. Found Phys 51, 108 (2021). https://doi.org/10.1007/s10701-021-00513-1

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