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Title: 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.

Authors:
 [1]
  1. Physics Division, Argonne National Laboratory, Argonne, IL 60439, USA
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1198240
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Published Article
Journal Name:
Advances in Mathematical Physics
Additional Journal Information:
Journal Name: Advances in Mathematical Physics Journal Volume: 2009; Journal ID: ISSN 1687-9120
Publisher:
Hindawi Publishing Corporation
Country of Publication:
Country unknown/Code not available
Language:
English

Citation Formats

Benioff, Paul. A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers. Country unknown/Code not available: N. p., 2009. Web. doi:10.1155/2009/452738.
Benioff, Paul. A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers. Country unknown/Code not available. doi:10.1155/2009/452738.
Benioff, Paul. Thu . "A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers". Country unknown/Code not available. doi:10.1155/2009/452738.
@article{osti_1198240,
title = {A Possible Approach to Inclusion of Space and Time in Frame Fields of Quantum Representations of Real and Complex Numbers},
author = {Benioff, Paul},
abstractNote = {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.},
doi = {10.1155/2009/452738},
journal = {Advances in Mathematical Physics},
number = ,
volume = 2009,
place = {Country unknown/Code not available},
year = {2009},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1155/2009/452738

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