One pop-sci attempt on this subject is "Programming the Universe..." by Seth 
Lloyd.  I have lost my copy to the "friend-borrowing-black-hole" but I do 
remember the book having an actual equation or two.  I thought it was fairly 
well written.




On Apr 29, 2010, at 9:47 AM, Owen Densmore wrote:

>> Yet another interesting article from the economist.
> 
>    ---- Owen
> 
> 
> I am an iPad, resistance is futile!
> 
> Begin forwarded message:
> 
>> A QUANTUM CALCULATION
>> Apr 22nd 2010  
>> 
>> 
>> A physicist argues that information is at the root of everything
>> 
>> DECODING REALITY: THE UNIVERSE AS QUANTUM INFORMATION. By Vlatko
>> Vedral. OXFORD UNIVERSITY PRESS; 256 PAGES; $29.95 AND GBP16.99. Buy
>> from Amazon.com[1], Amazon.co.uk[2]
>> 
>> 
>> ONE of the most elusive goals in modern physics has turned out to be
>> the creation of a grand unified theory combining general relativity and
>> quantum mechanics, the two pillars of 20th-century physics. General
>> relativity deals with gravity and time and space; quantum mechanics
>> with the microscopic workings of matter. Both are incredibly successful
>> in their own domains, but they are inconsistent with one another. 
>> 
>> For decades physicists have tried to put the two together. At the heart
>> of the quest lies the question, of what is the universe made? Is it
>> atoms of matter, as most people learned in school? Or some sort of
>> energy? String theory, currently a popular idea, holds that the
>> universe is made up of tiny vibrating strings. Other equally esoteric
>> candidates abound. Indeed, cynics claim that there are as many grand
>> unified theories as there are theoretical physicists attempting
>> unification.
>> 
>> Now Vlatko Vedral, an Oxford physicist, examines the claim that bits of
>> information are the universe's basic units, and the universe as a whole
>> is a giant quantum computer. He argues that all of reality can be
>> explained if readers accept that information is at the root of
>> everything.
>> 
>> So what is information? Mr Vedral's notion of information is not the
>> somewhat fuzzy concept most people have of it, but a precise
>> mathematical definition that owes itself to Claude Shannon, an American
>> mathematician considered to be the father of "information theory".
>> Shannon worked at Bell Labs, at the time the research arm of AT&T,
>> a telephone giant, and in the 1940s became interested in how much
>> information could be sent over a noisy telephone connection. This led
>> him to calculate that the information content of any event was
>> proportional to the logarithm of its inverse probability of occurrence.
>> (Unlike many popular-science books that eschew equations, Mr Vedral
>> includes a couple and tries his best to explain them to the reader.)
>> What does the equation mean? As Mr Vedral points out, it says that an
>> unexpected, infrequent event contains much more information than a more
>> regular happening.
>> 
>> Once he has defined information, Mr Vedral proceeds to show how
>> information theory can be applied to biology, physics, economics,
>> sociology and philosophy. These are the most interesting parts of the
>> book. Of particular note is the chapter on placing bets. Mr Vedral
>> gives a good description of how Shannon's information theory can be
>> applied to winning at blackjack or in buying shares (Shannon and his
>> friends made fortunes in Las Vegas as well as on the stockmarket). And
>> his exposition of climate change and how to outwit the CIA make
>> entertaining reading. One quibble: Mr Vedral often digresses from the
>> point at hand, so the overall effect tends to be a bit meandering.
>> 
>> Mr Vedral's professional interests lie in quantum computing and quantum
>> information science, which use the laws of quantum mechanics
>> respectively to build powerful computers and render codes unbreakable.
>> There is a lot of discussion of both, which is very welcome because
>> there are not many popular science books that cover these relatively
>> young fields. Quantum computers, as Mr Vedral points out, "are not a
>> distant dream". Though still rudimentary, "they can solve some
>> important problems for us that conventional computers cannot."
>> 
>> Unusually for a physicist, Mr Vedral spends a fair bit of time talking
>> about religious views, such as how God created the universe. He asks
>> whether something can come out of nothing. Throughout the ages
>> philosophers and theologians have debated this question with respect to
>> Judeo-Christian faiths, in which dogma holds that the world was created
>> from the void, CREATION EX NIHILO. Others side with King Lear who tells
>> Cordelia that "Nothing can come of nothing." Mr Vedral makes a
>> persuasive argument for a third option: information can be created out
>> of nothing.
>> 
>> -----
>> [1] http://www.amazon.com/exec/obidos/ASIN/0199237697/theeconomists-20 
>> [2]
>> http://www.amazon.co.uk/exec/obidos/ASIN/0199237697/economistshop-21 
>> 
>> See this article with graphics and related items at 
>> http://www.economist.com/culture/displaystory.cfm?story_id=15949137
> 
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