How to Produce S-Tense Operators on Lattice Effect Algebras

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

Abstract
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
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DOI 10.1007/s10701-014-9818-9
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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.

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