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Advances in Unconventional ComputingSpacetime Computing: Towards Algorithmic Causal Sets with Special-Relativistic Properties

Advances in Unconventional Computing: Spacetime Computing: Towards Algorithmic Causal Sets with... [Spacetime computing is undoubtedly one of the most ambitious and less explored forms of unconventional computing. Totally unconventional is the medium on which the computation is expected to take place—the elusive texture of physical spacetime—and unprecedentedly wide its scope, since the emergent properties of these computations are expected to ultimately reproduce everything we observe in nature. First we discuss the distinguishing features of this peculiar form of unconventional computing, and survey a few pioneering approaches. Then we illustrate some novel ideas and experiments that attempt to establish stronger connections with advances in quantum gravity and the physics of spacetime. We discuss techniques for building algorithmic causal sets—our proposed deterministic counterpart of the stochastic structures adopted in the Causal Set programme for discrete spacetime modeling—and investigate, in particular, the extent to which they can reflect an essential feature of continuous spacetime: Lorentz invariance.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Advances in Unconventional ComputingSpacetime Computing: Towards Algorithmic Causal Sets with Special-Relativistic Properties

Part of the Emergence, Complexity and Computation Book Series (volume 22)
Editors: Adamatzky, Andrew
Bolognesi, Tommaso
Advances in Unconventional Computing — Jul 19, 2016
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37 pages

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References (32)

Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2017
ISBN
978-3-319-33923-8
Pages
267 –304
DOI
10.1007/978-3-319-33924-5_12
Publisher site
See Chapter on Publisher Site

Abstract

[Spacetime computing is undoubtedly one of the most ambitious and less explored forms of unconventional computing. Totally unconventional is the medium on which the computation is expected to take place—the elusive texture of physical spacetime—and unprecedentedly wide its scope, since the emergent properties of these computations are expected to ultimately reproduce everything we observe in nature. First we discuss the distinguishing features of this peculiar form of unconventional computing, and survey a few pioneering approaches. Then we illustrate some novel ideas and experiments that attempt to establish stronger connections with advances in quantum gravity and the physics of spacetime. We discuss techniques for building algorithmic causal sets—our proposed deterministic counterpart of the stochastic structures adopted in the Causal Set programme for discrete spacetime modeling—and investigate, in particular, the extent to which they can reflect an essential feature of continuous spacetime: Lorentz invariance.]

Published: Jul 19, 2016

Keywords: Cellular Automaton; Directed Acyclic Graph; Turing Machine; Lorentz Transformation; Lorentz Invariance

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