International Journal of Theoretical Physics

, Volume 31, Issue 10, pp 1873–1898 | Cite as

Physical content of preparation-question structures and Brouwer-Zadeh lattices

  • Gianpiero Cattaneo
  • Giuseppe Nisticó


We give a criterion to compare the physical content of different mathematical structures derived from a preparation-question structure. Then this criterion is used in order to compare the physical content of the (Jauch-Piron's) property lattice with the physical content of the poset of testable properties. We prove that for complete preparation-question structures these two structures carry the same physical content; moreover the set of testable properties has the algebraic structure of the Brouwer-Zadeh lattice. For more general preparation-question structures the physical content of the poset of testable property can be larger than that of the property lattice. Physically relevant examples of the possible cases are given.


Field Theory Elementary Particle Quantum Field Theory Algebraic Structure Property Lattice 
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Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • Gianpiero Cattaneo
    • 1
  • Giuseppe Nisticó
    • 2
  1. 1.Dipartimento di Scienze dell'InformazioneUniversità di MilanoMilanItaly
  2. 2.Dipartimento di MatematicaUniversità della CalabriaRendeItaly

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