Being God is a big responsibility
qntm.org
qntm.org
The current interpretation of quantum mechanics is completely at odds with the statement from the story: "'[the simulation] is still as accurate a simulation of the real universe as there can possibly be. Civilisation - indeed, all of history - should rise on this Earth precisely how it did in reality. There are no chances. It's all worked out to infinitely many decimal places.'"
That's just not quantum mechanics. The "infinitely many decimal places" is a classic mistake (pardon the pun) and indicates a strong deterministic bent to the authors way of thinking about the world.
Clearly, quantum indeterminacy and its implications for a non-deterministic universe are still hard to both understand and get right in fiction.
Brute force primality testing of every single integer in existence? Easy. Pi to the last digit? Piece of cake. Halting Problem? Sa-holved.
This is obviously tongue in cheek, and only serves to establish that the computer is "larger than life" and that therefore we should automatically accept all the subsequent descriptions of how the computer can instantly simulate the entire universe and then some.
The reader is not supposed to believe quantum computers actually work like that. The computer is just a storytelling device, no more, no less.
However, I still have strong regrets that the author choose to stick the label "quantum" on it just to make it powerful/magical.
Why not call it a massively-interconnected, nano-organic cellular automata computer instead? Sure, it looses its literary flair, but quantum mechanics and computing is already so rarely understood in the public world, I hate to see fiction encouraging a deterministic model.
That would be unrealistic, absurd, and impossible. How are you going to get an infinite amount of computation in finite time with a cellular automaton or a computer made out of discrete components? The only chance of realistic technobabble is quantum effects. That way, you can pull all sorts of mumbo jumbo like "doing infinitely many things in parallel" or "teleporting the results of computation across space without violating causality" or "expressing the future of a simulation in the binary expansion of real number." And the story simply wouldn't work without a deterministic universe.
P.S. I'm not the author.
I hate to see fiction encouraging a deterministic model.
I love to see fiction encouraging a deterministic model. I hate to see fiction encouraging a deterministic model.
I know I may get downvoted for this "me-too" comment, but just wanted to let you know that I was very happy to see both of your comments, as I share your sentiment exactly. This entire story is impossible, but many readers, not knowing much about QM might walk away thinking it's "plausible" due to their ignorance and the way the story is presented. Which isn't to say that's a bad thing on its own, but then they walk up to me and badger me with this bullshit... :-pSo, the obvious first step is to run the simulation to completion of heat death of the universe. That way at least your reality won't suddenly shut off. This actually detaches you from the top-level reality at that point, because it guarantees that even the top-level can no longer shut you off; it had a "time step" which contained the entire universe simulation and can't be taken back.
Now, you're on top, right? Not necessarily. Suppose the next thing you did was to re-run the simulation again. You skip back to the present, in which you all already detached. Now, in infinity-1 universes, you are once again in a loop, under your total control, with one universe at the top not in the loop but grotesquely outnumbered. Now, go nuts. Design your perfect universe. No more entropy, eternal life, whatever. Take your time, you can always recover the exact state of the dearly departed simply by rerunning the simulation to the proper point.
Now, suddenly cut in your perfect universe. Infinity-1 one of you will experience a sudden transition to perfect universe. (Yes, I know infinity-1 is meaningless. Bear with me here.) So not only are you simulated, you have the power to completely rewrite the laws of your universe at will. Careful construction of this universe may result in other entertaining consequences; for instance, it need not be "a" universe, perhaps you leave the old one in place and install a literal portal to something new, or construct multiple. You can "get in" to the simulation.
Truly these people are gods in every sense that matters.
For instance, if calculating the simulation was paused for 100 years, then resumed, the people in the simulation would never know.
So, just because it might take five seconds to calculate the entire life of the simulation does not mean entities in the simulation would experience it like that.
Also, our universe seems pretty stable, so if heat death is a part of our universe's life, then there is a reason.
(Apparently he's in the process of turning it into a book: http://qntm.org/news_book .)
Particularly.
#14 By accident
Obviously there's a limit to how big an accident can get. ... [snip] ...Be creative and the kinds of accidents I'm talking about here seem more and more plausible.
Obviously there's a limit to how big an accident can get.
Then the people in the simulation will make the same change too, but relative to the change that you made.
This is something that I put into an unpublished novel I wrote, but I want to go back and make the thing that's being changed cooler, like some fundamental universe rule.
Watch this to get an idea of why this would be awesome: http://www.youtube.com/watch?v=P_zD6pHqvAk
Also, once the test has run, the stack of simulations and the real (top) world have diverged. Diane and Timmy at the top have belief states that simulated D and T do no: they know they are at the top of the stack.
They don't interact with upper levels. They are simulation anyway - they have no free will (that was an assumption - other way all the levels would diverge the moment the first human was born).
So no amount of caution can do anything to them - they are in predetermined world.
Or did you mean that even when upper levels are not watching, their (upper levels) behaviour depends on decision of lower levels? Because I can't see why it is so.
People at any given level are either: a) at the top and have nothing to worry - their universe won't stop working no matter what they do b) simulated and have no choice - what they decide is just result of simulation inputs and, maybe, tinkering of upper levels
Ether way - the real decisions are made only at the top level - if not, why all simulated worlds have the same history?
People would make different decisions earlier in simulated history if it was possible, and after many generations of simulated people and their different decisions worlds would diverge beyond recognition.
Even if free will exists on lower levels - why decision of lower levels inhabitants should change probabilities of upper levels decisions? Either they have free will, and their decisions are independent of upper levels - or they don't have free will, and their decisions just mirrors their top level selves.
Maybe I'm misunderstanding sth, English isn't my native language, and the subject is hard. Anyway - it's very interesting thought experiment.
Isn't this a similar premise, except the movie was simplified so as not to overwhelm and confuse normal movie-goers with quantum physics?
Nice thought experiment though
Wicked!
They probably wouldn't have any qualms with turning the simulation off either. My guess is that all those infinite simulations were on borrowed time until the top layer got bored.
We all know the grandfather paradox: http://en.wikipedia.org/wiki/Grandfather_paradox
Go back in time and kill your grandfather- wait that doesn't make sense? You wouldn't be alive?
I now introduce the Dbz Paradox:
Know the future and then change it before it happens- wait that doesn't make sense? I'm not sure about the consequences to this one.
It has nothing to do with time travel, if you didn't care to read the article, why care to comment.
Also you can probably only know the future of different, possible similar timelines. Whatever changes you make in those other timelines will not affect your own. You can alter their future but not your own, otherwise you can alter causality. I don't know if altering causality makes any sense.
It is not exactly a new revelation, if you include a model in the model, the problem potentially arise. What you typically do is to keep running the model with the previous answer, and hope the answer converge. It is a common technique for finding numeric solution to the more complex equation systems. I have done it many times. Of course, there is in general no guarantee that there is a solution, that the solution is unique, or that you will find it using this technique.
This all depends on the fact that the simulation and the real world are deterministic which, it would seem, is highly improbable.
This doesn't change much, the problem irons its self out. I see no paradox. And I don't know what you see that makes determinism "seem improbable."
In this argument, every simulation would look into the future to see the lottery numbers, and would act out on this knowledge. There would be no "changing the future." Every simulation would see the lottery numbers, then see themselves go to the store and get a ticket with the numbers, and every simulation will win with those numbers. There was no other future. The future you see in the simulation is the future that will occur in your own simulation.
Calling this a paradox is like calling recursive mirrors a paradox.