until next time…
Book review: “Turing’s Cathedral” by George Dyson
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Turing’s Cathedral: The Origins of the Digital Universe
by George Dyson
Pantheon (2012-03-01)
9780375422775
Amazon.com link
goodreads link
I was drawn to this book by its title & cover design. “Turing” in the title plus the punched cover directly meant (at least in my own mind) that it was about Alan Turing and the Universal machine.
Before this book I knew little about Turing’s universal machine and the origins of the computer. I knew about Von Neumann only by the name.
After reading this book, I got more interested about computers. I now have an awareness about how powerful the computer is (especially in our times) and how inefficient we (or at least me) are using it. Now I know the origins of the ENIAC, MANIAC & their derivatives. Know I know what an “app” was like in the 1950’s.
Turing’s Cathedral (still not sure why “Cathedral”!; maybe referring to the computer as the cathedral?) is an exciting read especially for the computer enthusiast, mathematicians, physicists, and scientists in general. It is eloquently written and describes things in details.
What I liked most about it is that it has references to actual scientific papers written the creators of the computer. As a matter of fact I have selected a couple of papers too read.
I finished the book without even knowing it. It suddenly stops without prior notice, as if there is a continuation that has been cut.
I really enjoyed reading this book and recommend it for everyone, literally everyone.
Quantum Harmonic Oscillator: Power series method in Maple
StandardIn the previous blog post What is Computational Physics (Science)?, I ended the post with the following figure
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| Graph of the probability distribution of the 100th state of the quantum harmonic oscillator (generated using the power series method). |
and stated that I might write a post on how to solve the Quantum harmonic oscillator numerically using the power series method (the other method being the ladder operator method [1]) and generate that figure. This post is just about that.
Ok. First I need to clear the cache with the restart command, import the PDEtools (to solve the pde SE) and Maplets[Elements] (necessary if you want to generate a maplet with a slider) packages.
restart; with(PDEtools): #we need to use the dchange command later in the solution with(Maplets[Elements]):
Extraterrestrials & the Digital Universe -Von Neumann & Edward Teller
StandardI’ve been reading George Dyson’s Turing’s Cathedral lately & today I read something interesting about intelligent life & computers from the age of John von Neumann & Edward Teller, which I’d like to share [1]:
Von Neumann rarely discussed extraterrestrial life or extraterrestrial intelligence; terrestrial life and intelligence were puzzling enough.
…”There is every reason to believe that any planet on which a large variety of molecules can reproduce by interconnected (or symbiotic) autocatalytic reactions, may see the formation of organisms with the same properties.” One of these properties, independent of the local conditions, might be the development of the Universal Machine.
Over long distances, it is expensive to transport structures, and in expensive to transmit sequences. Turing machines, which by definition are structures that can be encoded as sequences, are already propagating themselves, locally, at the speed of light.…Those best able to survive the passage of time, adapt to changing environments, and migrate across interstellar distances will become the most widespread. A life form that assumes digital representation, for all or part of its life cycle, will be able to travel at the speed of light. As artificial intelligence pioneer Marvin Minsky observed on a visit to Soviet Armenia in 1970, “Instead of sending a picture of a cat, there is one area in which you can send the cat itself.” [p.290]
The host planet would have to not only build radio telescopes and be actively listening for coded sequences, but also grant computational resources to signals if and when they arrived. The SET@home network now links some five million terrestrial computers to a growing array of radio telescopes, delivering a collective 500 teraflops of fast Fourier transforms representing a cumulative two million years of processing time. Not a word (or even a picture) so far -as far as we know. [p.291]
In a discussion with Edward Teller, the authors quotes Teller:
“…If there is life in the universe, the form of life that will prove to be most successful at propagating itself will be digital life; it will adopt a form that is independent of the local chemistry, and migrate from one place to another as an electromagnetic signal, as long as there’s a digital world -a civilization that has discovered the Universal Turing Machine- for it to colonize when it gets there. [p.292]
Thanks for reading
IPython: Python at your fingertips
StandardTo install the IPython notebook, do the following:
sudo apt-get install distribute ipython python-zmq python-tornado ipython-notebook pip install numpy matplotlib #if you want to use the numpy extension & matplotlib plotting library ipython notebook # launch the notebook from a terminal (will open in browser!)

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