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Foundations of Physics

, Volume 49, Issue 11, pp 1253–1277 | Cite as

How Downwards Causation Occurs in Digital Computers

  • George EllisEmail author
  • Barbara Drossel
Article
  • 75 Downloads

Abstract

Digital computers carry out algorithms coded in high level programs. These abstract entities determine what happens at the physical level: they control whether electrons flow through specific transistors at specific times or not, entailing downward causation in both the logical and implementation hierarchies. This paper explores how this is possible in the light of the alleged causal completeness of physics at the bottom level, and highlights the mechanism that enables strong emergence (the manifest causal effectiveness of application programs) to occur. Although synchronic emergence of higher levels from lower levels is manifestly true, diachronic emergence is generically not the case; indeed we give specific examples where it cannot occur because of the causal effectiveness of higher level variables.

Keywords

Emergence Downward causation Digital computers Logical control Transistors 

Notes

Acknowledgements

We thank Steven Simon and Oxford University Press for permission to reproduce Figs. 2 and 3 from [25]. This project was completed while both authors were visiting the Quantum Research Group at the University of KwaZulu Natal (UKZN), and we thank Francesco Petruccione for his hospitality at UKZN and support from his research grant number 64812: National Research Foundation (South African Research Chair). We thank an anonymous referee for very helpful comments on a previous version of this paper.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Cape TownCape TownSouth Africa
  2. 2.Institute of Condensed Matter PhysicsTechnische Universität DarmstadtDarmstadtGermany

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