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Proceedings Article

Perspex machine

[+] Author Affiliations
James A. D. W. Anderson

Univ. of Reading (United Kingdom)

Proc. SPIE 4794, Vision Geometry XI, 10 (November 1, 2002); doi:10.1117/12.446428
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From Conference Volume 4794

  • Vision Geometry XI
  • Longin J. Latecki; David M. Mount; Angela Y. Wu
  • Seattle, WA | July 07, 2002

abstract

We introduce the perspex machine which unifies projective geometry and the Turing machine, resulting in a supra-Turing machine. Specifically, we show that a Universal Register Machine (URM) can be implemented as a conditional series of whole numbered projective transformations. This leads naturally to a suggestion that it might be possible to construct a perspex machine as a series of pin-holes and stops. A rough calculation shows that an ultraviolet perspex machine might operate up to the petahertz range of operations per second. Surprisingly, we find that perspex space is irreversible in time, which might make it a candidate for an anisotropic spacetime geometry in physical theories. We make a bold hypothesis that the apparent irreversibility of physical time is due to the random nature of quantum events, but suggest that a sum over histories might be achieved by sampling fluctuations in the direction of time flow. We propose an experiment, based on the Casimir apparatus, that should measure fluctuations of time flow with respect to time duration- if such fluctuations exist.

© (2002) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

James A. D. W. Anderson
"Perspex machine", Proc. SPIE 4794, Vision Geometry XI, 10 (November 1, 2002); doi:10.1117/12.446428; http://dx.doi.org/10.1117/12.446428


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