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A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers

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  • Paul Benioff

Abstract

This work is based on the field of reference frames based on quantum representations of real and complex numbers described in other work. Here frame domains are expanded to include space and time lattices. Strings of qukits are described as hybrid systems as they are both mathematical and physical systems. As mathematical systems they represent numbers. As physical systems in each frame the strings have a discrete Schrodinger dynamics on the lattices. The frame field has an iterative structure such that the contents of a stage j frame have images in a stage j − 1 (parent) frame. A discussion of parent frame images includes the proposal that points of stage j frame lattices have images as hybrid systems in parent frames. The resulting association of energy with images of lattice point locations, as hybrid systems states, is discussed. Representations and images of other physical systems in the different frames are also described.

Suggested Citation

  • Paul Benioff, 2009. "A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers," Advances in Mathematical Physics, John Wiley & Sons, vol. 2009(1).
    • Handle: RePEc:wly:jnlamp:v:2009:y:2009:i:1:n:452738
    DOI: 10.1155/2009/452738
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    References listed on IDEAS

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    1. D. Kielpinski & C. Monroe & D. J. Wineland, 2002. "Architecture for a large-scale ion-trap quantum computer," Nature, Nature, vol. 417(6890), pages 709-711, June.
    2. Giovanni Amelino-Camelia, 2001. "A phenomenological description of space-time noise in quantum gravity," Nature, Nature, vol. 410(6832), pages 1065-1067, April.
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