A COMPUTABLE UNIVERSE

Understanding Computation & Exploring Nature As Computation
Hector Zenil (editor)

Publisher: World Scientific Publishing Company/Imperial College Press

Dedicated to the memory of Alan M. Turing on the 100th. anniversary of his birth.

Available also from Amazon



A Computable Universe is a collection of papers discussing computation in nature and the nature of computation, a compilation of the views of the pioneers in the contemporary area of intellectual inquiry focused on computational and informational theories of the world.

This volume is the definitive source of informational/computational views of the world, and of cutting-edge models of the universe, both digital and quantum, discussed from a philosophical perspective as well as in the greatest technical detail.

The book discusses the foundations of computation in relation to nature. It focuses on two main questions: What is computation? How does nature compute? The contributors are world-renowned experts who have helped shape a cutting-edge computational understanding of the universe. They discuss computation in the world from a variety of perspectives, ranging from foundational concepts to pragmatic models to ontological conceptions and their philosophical implications. The volume provides a state-of-the-art collection of technical papers and non-technical essays representing a field that takes information and computation to be key to understanding and explaining the basic structure underpinning physical reality. It also includes a new edition of Konrad Zuse's "Calculating Space", and a panel discussion transcription on the topic, featuring worldwide experts (including a Nobel prize) in quantum mechanics, physics, cognition, computation and algorithmic complexity.

 

TABLE OF CONTENTS

Foreword [PDF]
Sir Roger Penrose

Preface

Acknowledgements

1. Introducing the Computable Universe [PDF]
H. Zenil


Historical, Philosophical & Foundational Aspects of Computation

2. Origins of Digital Computing: Alan Turing, Charles Babbage, & Ada Lovelace
D. Swade

3. Generating, Solving and the Mathematics of Homo Sapiens. E. Post's Views on Computation
L. De Mol

4. Machines
R. Turner

5. Effectiveness
N. Dershowitz & E. Falkovich

6. Axioms for Computability: Do They Allow a Proof of Church's Thesis?
W. Sieg

7. The Mathematician's Bias -- and the Return to Embodied Computation
S.B. Cooper

8. Intuitionistic Mathematics and Realizability in the Physical World
A. Bauer

9. What is Computation? Actor Model versus Turing's Model
C. Hewitt


Computation in Nature & the Real World

10. Information-Theoretic Teleodynamics in Natural and Artificial Systems
A. Beavers & C. Harrison

11. Reaction Systems: A Natural Computing Approach to the Functioning of Living Cells
A. Ehrenfeucht, J. Kleijn, M. Koutny & G. Rozenberg

12. Bacteria, Turing machines and Hyperbolic Cellular Automata
M. Margenstern

13. Computation and Communication in Unorganized Systems
C. Teuscher

14. The Many Forms of Amorphous Computational Systems
J. Wiedermann

15. Computing on Rings
G.J. Martinez, A. Adamatzky & H.V. McIntosh

16. Life as Evolving Software
G.J. Chaitin


17. Computability and Algorithmic Complexity in Economics
K.V. Velupillai & S. Zambell

18. Blueprint for a Hypercomputer
F.A. Doria

Computation & Physics & the Physics of Computation

19. Discrete Theoretical Processes (DTP)
Ed Fredkin

20. The Fastest Way of Computing All Universes
J. Schmidhuber

21. The Subjective Computable Universe
M. Hutter

22. What Is Ultimately Possible in Physics?
S. Wolfram

23. Universality, Turing Incompleteness and Observers
K. Sutner

24. Algorithmic Causal Sets for a Computational Spacetime
T. Bolognesi

25. The Computable Universe Hypothesis
M.P. Szudzik

26. The Universe is Lawless or "Panton chrematon metron anthropon einai"
C.S. Calude, F. W. Meyerstein & A Salomaa

27. Is Feasibility in Physics Limited by Fantasy Alone?
C.S. Calude & K. Svozil


The Quantum, Computation & Information

28. What is Computation? (How) Does Nature Compute?
D. Deutsch

29. The Universe as Quantum Computer
S. Lloyd

30. Quantum Speedup and Temporal Inequalities for Sequential Actions
M. Zukowski

31. The Contextual Computer
A. Cabello

32. A Goedel-Turing Perspective on Quantum States Indistinguishable from Inside
T. Breuer

33. When Humans Do Compute Quantum
P. Zizzi


Open Discussion Section

34. Open Discussion
A. Bauer, T. Bolognesi, A. Cabello, C.S. Calude, L. De Mol, F. Doria, Ed Fredkin, C. Hewitt, M. Hutter, M. Margenstern, K. Svozil, M. Szudzik, C. Teuscher, S. Wol- fram & H. Zenil


Live Panel Discussion (transcription)

35. What is Computation? (How) Does Nature Compute?
C.S. Calude, G.J. Chaitin, Ed Fredkin, T.J. Leggett, R. de Ruyter, T. Toffoli & S. Wolfram


Zuse's Calculating Space

36. Calculating Space (Rechnender Raum) [PDF]
K. Zuse

Afterword to Konrad Zuse's Calculating Space [PDF]
A. German & H. Zenil

 

Readership: Researchers and students in the broader fields of computer science, mathematics and physics; general public interested in modern models of physics and nature, and in the philosophy of science.


Length
: 850 pages

Expected Publication: July 2012

Publisher: World Scientific Publishing Company

 

Available from Amazon or World Scientific/Imperial College