Foundations of Physics 44 (7):792-811 (2014)

Tense operators in effect algebras play a key role for the representation of the dynamics of formally described physical systems. For this, it is important to know how to construct them on a given effect algebra \( E\) and how to compute all possible pairs of tense operators on \( E\) . However, we firstly need to derive a time frame which enables these constructions and computations. Hence, we usually apply a suitable set of states of the effect algebra \( E\) in question. To approximate physical reality in quantum mechanics, we use only the so-called Jauch–Piron states on \( E\) in our paper. To realize our constructions, we are restricted on lattice effect algebras only
Keywords Effect algebra  MV-algebra  Complete lattice  Tense operator  S-tense operator  Jauch–Piron E-state  Jauch–Piron E-semi-state
Categories (categorize this paper)
DOI 10.1007/s10701-014-9818-9
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 59,063
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Effect Algebras and Unsharp Quantum Logics.D. J. Foulis & M. K. Bennett - 1994 - Foundations of Physics 24 (10):1331-1352.
Tense Operators on De Morgan Algebras.A. V. Figallo & G. Pelaitay - 2014 - Logic Journal of the IGPL 22 (2):255-267.

View all 6 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Phi-Symmetric Effect Algebras.M. K. Bennett & D. J. Foulis - 1995 - Foundations of Physics 25 (12):1699-1722.
MV and Heyting Effect Algebras.D. J. Foulis - 2000 - Foundations of Physics 30 (10):1687-1706.
Type-Decomposition of an Effect Algebra.David J. Foulis & Sylvia Pulmannová - 2010 - Foundations of Physics 40 (9-10):1543-1565.
‘Now’ and ‘Then’ in Tense Logic.Ulrich Meyer - 2009 - Journal of Philosophical Logic 38 (2):229-247.
Subdirectly Irreducible State-Morphism BL-Algebras.Anatolij Dvurečenskij - 2011 - Archive for Mathematical Logic 50 (1-2):145-160.
A Note on a Subvariety of Linear Tense Algebras.Marta A. Zander - 2005 - Mathematical Logic Quarterly 51 (1):104-108.
Effect Algebras Are Not Adequate Models for Quantum Mechanics.Stan Gudder - 2010 - Foundations of Physics 40 (9-10):1566-1577.
D-Algebras.Stanley Gudder - 1996 - Foundations of Physics 26 (6):813-822.
Kite Pseudo Effect Algebras.Anatolij Dvurečenskij - 2013 - Foundations of Physics 43 (11):1314-1338.


Added to PP index

Total views
18 ( #571,178 of 2,427,710 )

Recent downloads (6 months)
2 ( #329,204 of 2,427,710 )

How can I increase my downloads?


My notes