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Proceedings Paper

Perspex machine
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Paper 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.

Paper Details

Date Published: 24 November 2002
PDF: 12 pages
Proc. SPIE 4794, Vision Geometry XI, (24 November 2002); doi: 10.1117/12.446428
Show Author Affiliations
James A. D. W. Anderson, Univ. of Reading (United Kingdom)

Published in SPIE Proceedings Vol. 4794:
Vision Geometry XI
Longin Jan Latecki; David M. Mount; Angela Y. Wu, Editor(s)

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