On the Lorentz invariance of bit-string geometry

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We construct the class of integer-sided triangles and tetrahedra that respectively correspond to two or three discriminately independent bit-strings. In order to specify integer coordinates in this space, we take one vertex of a regular tetrahedron whose common edge length is an even integer as the origin of a line of integer length to the {open_quotes}point{close_quotes} and three integer distances to this {open_quotes}point{close_quotes} from the three remaining vertices of the reference tetrahedron. This - usually chiral - integer coordinate description of bit-string geometry is possible because three discriminately independent bit-strings generate four more; the Hamming measures of these seven strings ... continued below

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15 p.

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Noyes, H.P. September 1, 1995.

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  • Stanford University
    Publisher Info: Stanford Univ., CA (United States)
    Place of Publication: California

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We construct the class of integer-sided triangles and tetrahedra that respectively correspond to two or three discriminately independent bit-strings. In order to specify integer coordinates in this space, we take one vertex of a regular tetrahedron whose common edge length is an even integer as the origin of a line of integer length to the {open_quotes}point{close_quotes} and three integer distances to this {open_quotes}point{close_quotes} from the three remaining vertices of the reference tetrahedron. This - usually chiral - integer coordinate description of bit-string geometry is possible because three discriminately independent bit-strings generate four more; the Hamming measures of these seven strings always allow this geometrical interpretation. On another occasion we intend to prove the rotational invariance of this coordinate description. By identifying the corners of these figures with the positions of recording counters whose clocks are synchronized using the Einstein convention, we define velocities in this space. This suggests that it may be possible to define boosts and discrete Lorentz transformations in a space of integer coordinates. We relate this description to our previous work on measurement accuracy and the discrete ordered calculus of Etter and Kauffman (DOC).

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15 p.

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INIS; OSTI as DE96001000

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  • 11. annual meeting of the Western Chapter of the Alternative Natural Philosophy Association, Stanford, CA (United States), 18-20 Feb 1995

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  • Other: DE96001000
  • Report No.: SLAC-PUB--95-6760
  • Report No.: CONF-9502121--1
  • Grant Number: AC03-76SF00515
  • Office of Scientific & Technical Information Report Number: 110713
  • Archival Resource Key: ark:/67531/metadc619923

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  • September 1, 1995

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  • June 16, 2015, 7:43 a.m.

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  • Feb. 17, 2017, 6:05 p.m.

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Noyes, H.P. On the Lorentz invariance of bit-string geometry, article, September 1, 1995; California. (digital.library.unt.edu/ark:/67531/metadc619923/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.