Is the Universe its own Largest Computer?
missingmatterboy writes: "If the universe is simply a giant calculating machine, how big is it? Seth Lloyd, who two years ago worked out the theoretical maximum possible power a laptop computer could posess, has now "estimated how much information the Universe can contain, and how many calculations it has performed since the Big Bang." His conclusion: you'd need about 10^90 bits, with something like 10^120 manipulations of those bits, to express the universe since time began."
The article implies there hasn't been enough time for each bit/particle in the universe to have been "flipped" more than once, which further implies that the universe is NOT a computer. However, the number of particles mentioned is that in out 3D/4D (space / spacetime) universe. With superstring theory postulating extra dimensions up to 10 or 11 all "curled up" out of our sight, maybe this is where extra particles/bits are located to support the universe as a computer?
As far as I can recall, one of the basic premises of entropy and information theory is that *everything* can be expressed in bits.
:P
If everything can be expressed in bits, then everything is computable.
A stupid question is whether the universe is a determinstic Turing machine or not, or whether it is by very nature indeterministic
It's not that something has to be made into a computer so much as redefining one's perspective of what a computer is to accomodate the realities of the universe; that DNA is a storage mechanism, with RNA and DNA replication and protein synthesis being complex computation processes. Or that the universe is really expressible as a bunch of states (read his article, and you'll see that), and as such the traversal from state to state is no more complex than following a state diagram in a really big state machine...
Which is just a computer, doncha know?
GPL Deconstructed
(18 months per double; 10^120 =~= 2^399; 1.5 years * 399 = 598.5 years)
--- Jason Olshefsky
Karma: Poser (mostly affected by adding this line long after everyone else did)
According to some theories, the universe is an 11 dimensional finite state machine with a cycle time of 1x10-63second ... Plankt time.
It would seem to be guided by an irrational number calculation something very much like Mandlebrot's x=1/xi but in 11 dimensions.
A VERY simple calculation with chaotic consequences.
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Tonight at 9:00 PM (Eastern Time) Discovery Channel (Channel 42) features a one hour program on the origins of the Universe.
In this feature, of which 21 minutes is devoted to NCSA produced visualizations, which includes the spectacular rendition of a flight from earth to the massive black hole on the center of our galaxy.
21 minutes of NCSA rendered graphics...yummm..
So dont miss it, even if you werent a space geek. Being a graphics fan would do fine.
Rapid Nirvana
For instance, gravity seems to have a universal effect. It diminishes over distance, but ultimately never stops having an effect. Thus, for every movement, you'd first need to look at all elements of the "gravity map" to determine your precise gravity vector, then you'd need to update the "gravity map" with your movement. This would seem to have at least an N^2 effect. The universe doesn't seem at least to kludge on things like this.
Many forces act like this, which would tend to make the exponent on the number of bit manipulations required blossom much faster than predicted. Take a look at raytracer graphic design to see how messy reality can be when you introduce more than a couple elements into a scene, much less of course a universe. If one is going for a true simulation of reality, at least force by force, particle by particle, I believe it's going to be more complex than this estimation.
:^)
Ryan Fenton
1) Yeah, but it's an ANALOG computer. How passe!
2) Except, it isn't even an analog computer, because there is no analogy involved; no abstractions, nothing representing anything else in a simpler, faster, cheaper or more convenient way.
Remember the map of England in Lewis Carroll's "Sylvie and Bruno?" Well, I'm not sure I remember it, but, IIRC it was at a scale of one inch to the inch, so it was extremely accurate, but very annoying when unfolded and spread out.
"How to Do Nothing," kids activities, back in print!
10^90 is about 2^300 bits
10^120 is about 2^400 operations
Now, can anyone explain to me why anyone would need a cryptographic hash function with a 512 bit output?
Stop worrying about the risks of nuclear power and start worrying about the risks of not using nuclear power.
The following may be absurd, but (in a manner similar to Carl Sagan's Cosmos series) it may help enlighten us as to how much detail we don't see and don't collect about a particular event.
Instead of the entire universe, let's take a look at a World Cup soccer/football game.
We cannot come close to understanding, though, the amount of data necessary to "record" that event. It is only through selective compression, what our senses tell us, that we develop our view of that event. For some, like Mr. Vieri, he may remember what he felt and experienced during and after that event. A fan in Italy might remember what they saw, and might even have a tape or picture that shows one view of the event. A sports writer in Equador might only remember that Italy beat Ecuador 2-0. The average person on planet Earth will have no knowledge or recollection of the event, and frankly, won't care because life is too short.
Good analysis of events is compression. Our memory is compression of our experiences. With good compression, we won't have to record everything, and therefore avoid the "explosion of data" as best we can. As we collect data, we need to consider its importance to us and discard anything not relevant.
For detail we do care about (eg: data needed to compute Earth's weather), we might try to build large data repositories and build expensive computers to process that data, but most of the Universe's data is best left unknown to us because it's not important to us (yet).
- ez
PS: You gotta hand it to the folks at Google for attempting to collect and store so much data from the Internet.
Yeah, I know a lot of people who think that way. While I'll grant that we invented math as an useful abstraction roughly approximating how one aspect of the universe works, the abstraction is still not the universe. As in any abstraction, detailed content is lost in the hopes of formalization. Unfortunately, such detail is algorithmically necessary for being the universe... it's not just a matter of setting a few constants and pressing "enter" in the math box.
Math is not a natural science.
-l
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- We didn't so much invent Mathematics as we discovered it.
That's your belief.Yes, and your view is a belief also. In fact, all positions are beliefs, so what? You label it a belief as if it's a withering criticism, when in fact, it's just a definition.
I don't want to get into a deep epistemological discussion on Slashdot, of all places. I will point out that you can't prove your position any more than I can prove mine. You, however, would deny that a proof is anything but an empty manipulation of symbols, devoid of any meaning.
We men "invent" math and logic. Right. Forget the observation that children are prewired for language and logic. Math and logic are at the base of our being. This is clear to me.
Yes, I'm a platonist. I see a theory in map theory is reminiscient of one in number theory. Is it because I invented it that way, or is there a mathematic truth that binds them together that I discovered through their similarity?
In the end, these are just appeals. I can't reason with someone who believes that reasoning is arbitrary.
They used to argue the same sort of things about negative numbers, but then their utility in showing direction proved too attractive to abandon them as "merely" abstract.
Similarly, irrational numbers are used to model multiple dimensions.
Various concepts of infinity come into play in Calculus and topology, which may seem very abstract now, may someday prove to help us understand reality.
Non-euclidean geometries were once considered the height of useless abstraction, but have come in very handy in Relativity and String Theory.
All Maths are grounded in the Universe as they are discovered by our minds which are part of the Universe. If we can recognize a logical mathematics, then it is a recognition of a logical formalism that our minds can comprehend.