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  • 1.
    Khrennikov, Andrei
    Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.
    A classical field theory comeback?: The classical field viewpoint on triparticle entanglement2011In: Physica scripta. T, ISSN 0281-1847, no T143, article id 014013Article in journal (Refereed)
    Abstract [en]

    We present the fundamentals of a prequantum model with hidden variables of classical field type—prequantum classical statistical field theory (PCSFT). In some sense, this is the comeback of classical field theory, but with an extension to massive particles. All quantum averages (including correlations of entangled systems) can be represented as classical field averages and correlations. In the literature, entanglement of biparticle systems (in particular, biphotons) has been represented in the PCSFT framework. In this paper, we consider triparticle entanglement. It is well known that in conventional quantum mechanics, the cases of biparticle and triparticle entanglement are quite different. Roughly speaking, triparticle entanglement is not reducible to biparticle entanglement. The PCSFT approach to entanglement (as a correlation of classical signals) reflects this quantum situation. The PCSFT representations of correlations in biparticle and triparticle systems differ essentially. In particular, from the mathematical viewpoint the latter is fundamentally more complicated than the former.

  • 2.
    Yurova Axelsson, Ekaterina
    Linnaeus University, Faculty of Technology, Department of Mathematics.
    On the representation of the genetic code by the attractors of 2-adic function2015In: Physica scripta. T, ISSN 0281-1847, Vol. 2015, no T 165, article id 014043Article in journal (Refereed)
    Abstract [en]

    The genetic code is a map which gives the correspondence between codons in DNA and amino acids. As a continuation of the study made by Khrennikov and Kozyrev on the genetic code, we consider a construction, where amino acids are associated to the attractors of some two-adic function. In this paper, we give an explicit form of representations for the standard nuclear and vertebrate mitochondrial genetics codes. To set these functions we use a van der Put representation. The usage of the van der Put series reduces the complexity of computation for explicit form of the functions for the genetic codes.

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