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math-ph2007
An algebraic theory of infinite classical lattices III: Theory of single measurements
Don Ridgeway
This is the third in a series of papers dealing with the algebraic theory of infinite classical lattices. This paper presents a theory of single measurements on a lattice which we…
math-ph2005
An algebraic theory of infinite classical lattices II: Axiomatic theory
Don Ridgeway
We apply the algebraic theory of infinite classical lattices from Part I to write an axiomatic theory of measurements, based on Mackey's axioms for quantum mechanics. The axioms gi…
math-ph2005★ 2 cited
An algebraic theory of infinite classical lattices I: General theory
Don Ridgeway
We present an algebraic theory of the states of the infinite classical lattices. The construction follows the Haag-Kastler axioms from quantum field theory. By comparison, the *-al…