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

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.

arXiv commentPaper has been greatly revised and shortened to 26 pages, 2 figures, per referees comments

References in corpus (14)

• Background Independent Quantum Gravity: A Status Report
• Reference frames, superselection rules, and quantum information
• The Mathematical Universe
• Is "the theory of everything'' merely the ultimate ensemble theory?
• Holographic Foam, Dark Energy and Infinite Statistics
• A phenomenological description of quantum-gravity-induced space-time noise
• Decoherence-full subsystems and the cryptographic power of a private shared reference frame
• Spacetime in String Theory
• Dynamics of a Quantum Reference Frame
• Quantifying the resource of sharing a reference frame
• Towards a Coherent Theory of Physics and Mathematics: The Theory-Experiment Connection
• Quantum communication, reference frames and gauge theory
• A Representation of Real and Complex Numbers in Quantum Theory
• Spacetime Foam and Dark Energy