Are uncomputable numbers/things a problem for Wheeler's "it from bit"?

6

1

I have some questions related to Wheeler's ideas of "It from bit" and "Law without law"

In summary, these both theories postulate that there was an initial universe with no laws from which laws of physics appeared from informational processes (It from bit)

  1. In a book ("The Hidden Pattern" by Ben Goertzel) it is said "John Archibald Wheeler's (1988) idea of “law without law” and “it from bit” —which hypothesizes that the laws of our physical universe are in some sense optimal, so that if someone has an objective or physical world with unformed, indefinite laws, the laws will eventually settle into the optimal law configuration (being the laws of our universe)"

    • Assuming Wheeler was right and According to Wheeler's "it from bit" and "law without law", could the optimal laws have been different? If I understand these theories correctly, the initial universe did not have any laws/rules and the laws were created by the informational processes of "it from bit". Because of this, could these informational processes have created different rules/processes that would give as a result a different universe with different laws? I mean, could the initial lawless/ruleless-universe have evolved differently, giving as a result a different universe with different laws (not only our own set of laws)? Arbitrarily different?
  2. Since the initial universe did not have any rules, could "it from bit" have created radically different truly fundamental laws and rules? Could it have created a different universe behaving even according to fundamentally different types of mathematics/logic? Could it have created a universe with fundamentally different computability/information theory? Could it have created a universe where uncomputable or even illogical/logically impossible/indescribable/nonexistent/impossible things could be computed? Since the initial universe would not have any rules, would it from bit be adjusted to computability and information theory? Or would computability/information theory not exist in the initial universe, and because of that, "it from bit" could do things outside of them (could do things forbidden by them)? Would the same happen with logic (Did the initial universe behave according to some type of mathematics/logic or they did not exist at the initial universe)?

  3. If the above would be right and the universe could have behaved according to radically/fundamentally different laws/maths/logic, could "it from bit" processes have created a universe behaving according to paraconsistent logic ( https://en.wikipedia.org/wiki/Paraconsistent_logic) or a trivialism (a system where every statement/"thing" would be true and false at the same time: https://en.wikipedia.org/wiki/Trivialism, it could be called an illogical system)? (the consequences of both systems would be uncomputable, but if it from bit created computability and information theory, could they have created a different computability or information theory where they would be computable?) Or, since things in it from bit would derive their existence from solely informational processes, and since the definition of a trivialist/paraconsistent system is a computable definition (otherwise we could not define them), could an it from bit-informational process computing just the solely definition of these systems be enough for these systems to exist? In summary: Could "it from bit" make trivialist/paraconsistent systems exist in a universe?

  4. If the above is right, wouldn't that mean that Wheeler's law without law and it from bit would be an unfalsifiable theory? (Since they could produce all types of universes/outcomes, even impossible/uncomputable/logically impossible/illogical ones.) Also, would they be a multiverse theory? (besides being capable of creating different versions of a given universe, could they create multiple universes at once?)

(I need answers from people that know well these theories. Although this is relate with philosophy, that's why I put this question here, I need answers mostly based on a scientific point of view not only/purely philosophical)

physistack

Posted 2018-12-02T01:22:32.467

Reputation: 87

1>

  • Yes; 2. Yes; 3. Meaningless question, logic is not on a par with causal laws. It is a property of descriptive language, not what it describes. We can choose paraconsistent logic to describe even this universe; 4. No. That evolution can produce all kinds of organisms does not mean that it can not be tested as a theory, it is the same with universes. Formation processes can be substantiated indirectly (traces, simulations, etc.).
  • < – Conifold – 2018-12-03T23:31:42.750

    @Conifold In the question #3 I meant whether the universe could have laws that actually behaves according to the types of logic ("illogical logic" in the case of trivialism) I described. It's true that logic is independently from reality, but nature behaves according to a given type of logic (can be described by it). I was asking whether there could be universes whose nature could be described by these logics (and trivialism) in Wheeler's theories/ideas. – physistack – 2018-12-04T21:55:29.587

    @Conifold Also, although we could use these logics (and trivialism) to describe our universe, it is not obvious that they are good to describe our nature (in fact trivialism is generally rejected) and we could be wrong/mistaken trying to use them to describe the universe (it could be the case that the nature of the universe does only actually follow classical logic). So I was actually asking whether there could be universes in Wheeler's theories/ideas (law without law and it from bit) that could have nature ACTUALLY following these logics – physistack – 2018-12-04T21:56:29.063

    @Conifold (or "illogic logics" as in the case of trivialism and the different types of trivialism that exist). Also, referring to #4, if Wheeler's ideas/theories could then indeed produce all universes (even illogical/logically impossible/impossible/nonexistent universes or universes without any logic/rules), there could be the case that the processes based on Wheeler's ideas/theories could be "hided" or even deleted (since Wheeler's ideas/theories could produce literally ALL outcomes, even impossible ones). – physistack – 2018-12-04T21:57:09.353

    @Conifold So if that would be the case and we lived in such universe, there could be the case that we could not know whether it was based on Wheeler's ideas/theories. Finally I would also like to ask: It is said, for example, that "it from bit" would be a discrete informational process that would create universes. But if Wheeler's ideas/theories of law without law and it from bit could produce literally ALL outcomes (even impossible ones), there could be the case that the "standard" form of "it from bit" would change into anything else, right? – physistack – 2018-12-04T21:57:32.023

    @Conifold (for example to a continuous based idea/theory, or literally anything else, even absurd things like, let's say, cheese, or even into nonexistent/impossible things (and "no-things) since literally ALL would be produced by Wheeler's ideas/theories) – physistack – 2018-12-04T21:57:40.820

    Nature does not behave according to any logic, it is not something to behave according to. It is a convention convenient to us for describing something else (physics, biology, etc.). It may or may not be good for that, that has to do with how we collect and process data, etc., but it is meaningless to ask whether nature follows or does not follow it. Similarly, "could produce literally ALL outcomes" is just an empty verbal shell. Words can be strung in more ways than their referents. Think of your questions by analogy to asking whether electrons can be red, and that will answer them. – Conifold – 2018-12-04T22:22:11.577

    @Conifold With nature "following" certain types of logic (or illogic systems, in the case of trivialism), for example a universe "following" trivialism, I meant a universe where trivialism could be obviously applied (where everything obviously would be and not be). Logic (and other systems such as trivialism) is only a mental tool we created and it has no physical correspondence. We could use trivialism to describe this world, but it isn't obvious that it can be applied to our universe (in fact, it is rejected by most part of philosophers). – physistack – 2018-12-06T16:43:13.303

    @Conifold What I asked in question #3 was whether Wheeler's law without law and it from bit could create universes where all types of logics (like paraconsistent logic) and other systems (like trivialism) could be "obviously" used to describe them (whether it could produce universes where, for example, trivialism could be "obviously" applied because the principle of no contradiction would be obviously violated and thus everything would and would not be at the same time. A universe where logically impossible/illogical/uncomputable/indescribable/impossible/nonexistent things could happen. – physistack – 2018-12-06T16:43:37.717

    @Conifold Where an apple would be (and not be) an elephant and vice versa (and not vice versa)...etc. A universe where we could do impossible things like factorizing number 181 with "classical" mathematics or describe impossible things that cannot be described/imagined/computed like a straight line intersecting a circle in 3 points...etc) Also I didn't understand your answer to number #4. Why is it "could produce literally ALL outcomes" just an empty verbal shell? What does it mean that "Words can be strung in more ways than their referents"? – physistack – 2018-12-06T16:44:27.863

    @Conifold If Wheeler's ideas could produce all types of universes, even illogical/logically impossible/impossible ones, wouldn't that mean that there could be universes where we could not discover that they were produced by Wheeler's theories/ideas (Universes where we could not find any evidence that they were created by Wheeler's hypotheses.Evidences for Wheeler's ideas would be "hided")? (Or even universes that would be illogical/logically impossible/impossible, and thus, even if violating the principle of no-contradiction, they simply would not be created by Wheeler's ideas)? – physistack – 2018-12-06T16:44:41.857

    "Obviosity" is in the eye of the beholder, so if something "could be "obviously" used to describe" is not something the universe decides. Trivialism is unsatisfactory for pragmatic reasons, also regardless of the universe, it lacks discriminating ability to be useful as a descriptive language. "Words can be strung" means that even grammatically formed sentences can be nothing more than strings of letters. When we recognize that we should look for answers to them no more than for answers to "is electron red or green?" or "kjahkdsjahf oi99 jkkscnb lkjad supo?" And that is the answer. – Conifold – 2018-12-06T20:04:52.440

    @Conifold The thing I'm really asking is that there are papers that seem to suggest that logic (not as a concept, but as the logical behaviour that the universe would manifest) would emerge (as part of Wheeler's pre-geometry) (like this one: birkbeck.ac.uk/tpru/BasilHiley/noncommgeobohm.pdf) which says: – physistack – 2018-12-17T20:16:27.750

    @Conifold "Suppose locality is a relationship, could it be that quantum phenomena are in some sense beyond space-time and are merely projected into space-time by our macroscopic instruments? In other words, could quantum processes be evolving in some more general space, which for convenience we call simply 'pre-space'. This pre-space (Hiley 1991, Hiley and Monk 1993) would then give rise to Wheeler's (1980) pre-geometry." – physistack – 2018-12-17T20:16:44.510

    @Conifold It seems to me that Wheeler's pre-geometry (and thus, logic, understood as the propositions one is allowed to ask within that (pre)-geometry) would emerge from a pre-space. If this is right, would it mean that before the emergence of Wheeler's pre-space there were no rules (not even logic)? Would then this pre-space be illogical/logically impossible (i.e. logically impossible/illogical things could happen there, like generating a universe with other laws of computability/information/mathematics/logic/statistics/nature/physics...etc, even illogical/logically impossible ones?)? – physistack – 2018-12-17T20:16:58.240

    I am afraid, I am not familiar with the Wheeler's proposal enough to say what it involves authoritatively. But it seems that "before the emergence" makes little sense unless some rules are in place to define before and after. The "pre-space" is presumably "pre-spacetime", it is not "before" in any temporal sense, and has a mathematical description, so obeys some rules. On emergence of time see https://arxiv.org/abs/gr-qc/9901024

    – Conifold – 2018-12-17T22:51:08.517

    I've read about "it from bit" before and never come across Goertzel's claim that it is meant to imply an initially lawless world that later settled into our laws. For example, the summary here suggests nothing of that sort. Does Goertzel provide any quotes from Wheeler to support this interpretation?

    – Hypnosifl – 2019-12-11T17:04:12.197

    Answers

    2

    Bearing in mind that no consensus has been reached on most/all of the questions you pose here, I’ll take a shot anyway!

    1 and 2: Different Laws, Yes / Arbitrarily Different Rules, No

    I love Wheeler’s style and many of his ideas, but many of his ideas were never fleshed out. They really were more like questions then ideas. What if hypotheticals that were, I think, intended to provoke thought and inspire.

    Yes in that the law without laws and it from bit would most likely allow for a great deal of ambiguity in the way the early universe would shake out. I, personally, don’t think the different possible laws would be arbitrarily different though. I forget which book it was, but the author was presenting analogy for symmetry breaking. There’s a dinner party and for each place setting there is a water glass placed exactly half way between them. The guests all sit and, for a time, it is equally likely that any one of them could reach for the glass on their left or their right, but as soon as any one of them does, the symmetry is broken and the choice is made for ALL of the guests. From that point onward, there is no question as to who’s water glass is who’s.

    But, again personally, I don’t feel like different rules and different forces could be arbitrarily different. I’m a big believer in information theory (and the idea of “it from bit”) and I just cannot conceive of a universe where the fundamental rules of computation are different than they are in this one. Change the laws of physics, sure, but take away my NAND gate and we’re going to have a problem.

    3: Paraconsistent, Maybe / Trivialism, No / Computable Uncomputability, No

    I’m not sure what book it was, but this time the author was talking about human generations (mother, father, brother kind of stuff) and the idea of partially ordered sets. I think partially ordered sets are a good way, better than Paraconsistent logic, to introduce enough “wibbly wobbly” into a universe to grease the wheels of existence. Enough wobbly wobbly for Loop Quantum Gravity and the recent Quantum Eraser Experiments anyway.

    You might be able to convince me that the logical rule set for possible universes can vary, but I would draw the line just after Paraconsistent logic and well before Trivialism. I’d also insist on the caveat that any possible logical rule set must at least allow NAND or NOR (preferably both). I just don’t see much of a possibility for NAND and NOR existing under Trivialism…

    4: We’re not talking about Wheeler any more

    I don’t know that Wheeler’s it from bit and laws without law imply what you seem to think they imply. Multiverse, yes, depending of course on your definition thereof, but unlimited, untestable multiverse... I don’t think so.

    With your 4th question you’ve ventured away from Wheeler and into the ideas of Max Tegmark and his ilk. Tegmark proposes the idea of a multiverse in which every mathematically expressible idea is made manifest. It’s like the ultimate multiverse where every possible mathematical system is just as physically real as every other. And he even came up with a way to test it!

    I wouldn’t recommend it though… It’s called the Quantum Suicide Experiment, and it’s pretty messy. Seriously, do not attempt this experiment!

    Thor

    Posted 2018-12-02T01:22:32.467

    Reputation: 133