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Journal Articles Foundations of Physics Letters Year : 2001

Quantaloids Describing Causation and Propagation of Physical Properties

Abstract

A general principle of `causal duality' for physical systems, lying at the base of representation theorems for both compound and evolving systems, is proved; formally it is encoded in a quantaloidal setting. Other particular examples of quantaloids and quantaloidal morphisms appear naturally within this setting; as in the case of causal duality, they originate from primitive physical reasonings on the lattices of properties of physical systems. Furthermore, an essentially dynamical operational foundation for studying physical systems is outlined; complementary as it is to the existing static operational foundation, it leads to the natural axiomatization of `causal duality' in operational quantum logic.

Dates and versions

hal-03606844 , version 1 (12-03-2022)

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Bob Coecke, David Moore, Isar Stubbe. Quantaloids Describing Causation and Propagation of Physical Properties. Foundations of Physics Letters, 2001, 14 (2), pp.133-145. ⟨10.1023/A:1012377520222⟩. ⟨hal-03606844⟩

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