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States and Boolean Algebra
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We investigate subadditive measures on orthomodular lattices. We show as the main result that the Boolean algebra, the special metric orthomodular lattice and the orthomodular lattice which is unital with respect to subadditive states are equivalent. This result may find an application in the foundation of quantum theories and mathematical logic.
Title: States and Boolean Algebra
Description:
We investigate subadditive measures on orthomodular lattices.
We show as the main result that the Boolean algebra, the special metric orthomodular lattice and the orthomodular lattice which is unital with respect to subadditive states are equivalent.
This result may find an application in the foundation of quantum theories and mathematical logic.
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