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Logical Equivalence between Generalized Urn Models and Finite Automata
 International Journal of Theoretical Physics
, 2002
"... To every generalized urn model there exists a finite (Mealy) automaton with identical propositional calculus. The converse is true as well. ..."
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Cited by 13 (12 self)
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To every generalized urn model there exists a finite (Mealy) automaton with identical propositional calculus. The converse is true as well.
Contexts in quantum, classical and partition logic
 In Handbook of Quantum Logic
, 2006
"... Contexts are maximal collections of comeasurable observables “bundled together ” to form a “quasiclassical miniuniverse. ” Different notions of contexts are discussed for classical, quantum and generalized urn–automaton systems. PACS numbers: 02.10.v,02.50.Cw,02.10.Ud ..."
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Cited by 8 (7 self)
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Contexts are maximal collections of comeasurable observables “bundled together ” to form a “quasiclassical miniuniverse. ” Different notions of contexts are discussed for classical, quantum and generalized urn–automaton systems. PACS numbers: 02.10.v,02.50.Cw,02.10.Ud
Set Theory and Physics
 FOUNDATIONS OF PHYSICS, VOL. 25, NO. 11
, 1995
"... Inasmuch as physical theories are formalizable, set theory provides a framework for theoretical physics. Four speculations about the relevance of set theoretical modeling for physics are presented: the role of transcendental set theory (i) hr chaos theory, (ii) for paradoxical decompositions of soli ..."
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Cited by 8 (7 self)
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Inasmuch as physical theories are formalizable, set theory provides a framework for theoretical physics. Four speculations about the relevance of set theoretical modeling for physics are presented: the role of transcendental set theory (i) hr chaos theory, (ii) for paradoxical decompositions of solid threedimensional objects, (iii) in the theory of effective computability (ChurchTurhrg thesis) related to the possible "solution of supertasks," and (iv) for weak solutions. Several approaches to set theory and their advantages and disadvatages for" physical applications are discussed: Cantorian "naive" (i.e., nonaxiomatic) set theory, contructivism, and operationalism, hr the arrthor's ophrion, an attitude of "suspended attention" (a term borrowed from psychoanalysis) seems most promising for progress. Physical and set theoretical entities must be operationalized wherever possible. At the same thne, physicists shouM be open to "bizarre" or "mindboggling" new formalisms, which treed not be operationalizable or testable at the thne of their " creation, but which may successfully lead to novel fields of phenomenology and technology.
How real are virtual realities, how virtual is reality? The constructive reinterpretation of physical undecidability
"... constructive reinterpretation of physical undecidability ..."
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Cited by 4 (4 self)
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constructive reinterpretation of physical undecidability
Quantum Scholasticism: On Quantum Contexts, Counterfactuals, and the Absurdities of Quantum Omniscience
, 2008
"... ..."
Scaleinvariant cellular automata and selfsimilar Petri nets
 THE EUROPEAN PHYSICAL JOURNAL B
, 2009
"... Two novel computing models based on an infinite tessellation of spacetime are introduced. They consist of recursively coupled primitive building blocks. The first model is a scaleinvariant generalization of cellular automata, whereas the second one utilizes selfsimilar Petri nets. Both models are ..."
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Cited by 3 (1 self)
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Two novel computing models based on an infinite tessellation of spacetime are introduced. They consist of recursively coupled primitive building blocks. The first model is a scaleinvariant generalization of cellular automata, whereas the second one utilizes selfsimilar Petri nets. Both models are capable of hypercomputations and can, for instance, “solve” the halting problem for Turing machines. These two models are closely related, as they exhibit a stepbystep equivalence for finite computations. On the other hand, they differ greatly for computations that involve an infinite number of building blocks: the first one shows indeterministic behavior, whereas the second one halts. Both models are capable of challenging our understanding of computability, causality, and spacetime.
Quantum logic. A brief outline
, 2005
"... A more complete introduction of the author can be found in the book ..."
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Cited by 3 (0 self)
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A more complete introduction of the author can be found in the book
Some observations concerning the plasticity of nonlocal quantum correlations exceeding classical expectations
, 2009
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