Modal logic approach to preferred bases in the quantum universe

作者: A. M. Lisewski

DOI:

关键词: Quantum algorithmQuantum processQuantum probabilityTheoretical physicsQuantum cosmologyOpen quantum systemQuantum gravityCategorical quantum mechanicsMathematicsRelationship between string theory and quantum field theory

摘要: We present a modal logic based approach to the so-called endophysical quantum universe. In particular, we treat problem of preferred bases and that state reduction by employing an eclectic collection methods including Baltag's analytic non-wellfounded set theory, interpretation Dempster-Shafer results from theory isometric embeddings discrete metrics. Two basic principles, bisimulation principle imperfection, are derived permit us conduct inductive proof showing basis emerges at each evolutionary stage These principles understood as theoretical realizations paradigm according which physical universe is simulation on computer second saying degrees freedom model Poincare's continuum. Several comments given related communication biology, gravity.

参考文章(20)
J. L. Bell, A New Approach to Quantum Logic The British Journal for the Philosophy of Science. ,vol. 37, pp. 83- 99 ,(1986) , 10.1093/OXFORDJOURNALS.BJPS/37.1.83
Paul Bernays, A System of Axiomatic Set Theory Studies in logic and the foundations of mathematics. ,vol. 84, pp. 1- 119 ,(1976) , 10.1016/S0049-237X(08)70892-9
George A. Jaroszkiewicz, Jon Eakins, The Quantum universe arXiv: Quantum Physics. ,(2002)
George Jaroszkiewicz, Jon Eakins, Endophysical information transfer in quantum processes arXiv: Quantum Physics. ,(2008)
Satoko Titani, Haruhiko Kozawa, Quantum Set Theory International Journal of Theoretical Physics. ,vol. 42, pp. 2575- 2602 ,(2003) , 10.1023/B:IJTP.0000005977.55748.E4
Michel Deza, Monique Laurent, Applications of cut polyhedra—II Journal of Computational and Applied Mathematics. ,vol. 55, pp. 191- 216 ,(1994) , 10.1016/0377-0427(94)90020-5
CE Shennon, Warren Weaver, A mathematical theory of communication Bell System Technical Journal. ,vol. 27, pp. 379- 423 ,(1948) , 10.1002/J.1538-7305.1948.TB01338.X
Germano Resconi, George J. Klir, David Harmanec, Ute St. Clair, Interpretations of various uncertainty theories using models of modal logic: a summary Fuzzy Sets and Systems. ,vol. 80, pp. 7- 14 ,(1996) , 10.1016/0165-0114(95)00262-6
A Baltag, STS: A structural theory of sets Logic Journal of the IGPL. ,vol. 7, pp. 481- 515 ,(1998) , 10.1093/JIGPAL/7.4.481