"Was the wave function waiting to jump for thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer for some highly qualified measurer—with a PhD?" — Andrew M
Both qualify as a computable number. The diagonalization method used with an ordered list of all rational numbers nicely produces a number that isn’t rational, but is very much computable by the definition on the site you linked. All one has to do to get n bits of precision is to list the first rational numbers and take a bit from each, a very finite task.OK, maybe, but it’s a very different definition. Is there an example of something that isn’t [a computable number]?
— noAxioms
Yes, one can use diagonalization to produce a number that isn't in the set. Another example is the probability that a randomly constructed computer program will halt (Chaitin's constant). — Andrew M
The page seems to assume infinite memory and infinite machines states. The more memory you need to access, the more states you need, and a machine emulating something needs more memory/states than the thing being emulated. The page seems to assume for instance a generic language where say pointers are not of finite size. But I’ll accept the definitions used on the page and withdraw my statement.A universal Turing Machine can simulate itself by accepting, as input, a description of itself and running it. See Turing completeness.
I agree with that, but I wasn’t talking about predictions. I was talking about language describing things other than the results.The experiment matches the predictions of standard quantum mechanics, and thus also the predictions of MWI.
Another reason why I don’t like the suggestion of actual metaphysical branching of worlds. Everett never suggested it, but DeWitt added that, coining the term ‘MWI’ in the process. I prefer Rovelli’s take on it where there is no ‘actual’ about any of the measurements, and observation serves only an epistemological purpose.So it doesn't challenge MWI on those grounds. But also, on an MWI view, it's disputable whether a measurement actually took place since no decoherence (and thus no world branching) occurred.
That just sounds like Bell’s theorem (old news). What in 2019 was added to that?So, if one accepts the authors' definitions for an observer and measurement, then one of the assumptions of free choice, locality, and observer-independent facts must be false.
Sorry, but I don’t see what the AI adds that any simple device (like the circuit on the camera) doesn’t.Which is why Deutsch's proposal to use an AI on a quantum computer would be an important and compelling experiment.
If I have to drop something, that one seems far preferrable to the others. I don’t reject it since it cannot be disproved.You're rejecting the "observer-independent facts" assumption, which is fine.
This does not seem to reference that definition, but more of the dictionary definition of observer.As John Bell inquired, "Was the wave function waiting to jump for thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer for some highly qualified measurer—with a PhD?" — Andrew M
That sounds like an absolutist statement, which sort of violates PoR. PoR might be used to say that any body is in motion relative to certain frames. Without the frame reference, motion is undefined.Under the precept of the relativity principle any existing body is always in motion. — Metaphysician Undercover
I’ve called it an abstraction, specifically an abstract assignment of coordinates to events. That’s true of any frame, inertial or not. So yes, an ideal as you call it.Would you agree that the inertial frame is just an ideal, and it does not actually represent anything real in the real world of physical, material bodies?
I’d have said ‘every moment of time’. I don’t see what the word ‘passing’ adds to that. That almost every body is subjected to nonzero net forces at any moment means that nothing exhibits inertial motion, but plenty of them exhibit good approximations of it to where the mathematics is very useful indeed.there is no body in the universe which is not subjected to forces at every moment of passing time.
That sounds like an absolutist statement, which sort of violates PoR. PoR might be used to say that any body is in motion relative to certain frames. Without the frame reference, motion is undefined. — noAxioms
I’d have said ‘every moment of time’. I don’t see what the word ‘passing’ adds to that. — noAxioms
Both qualify as a computable number. The diagonalization method used... — noAxioms
"So, if one accepts the authors' definitions for an observer and measurement, then one of the assumptions of free choice, locality, and observer-independent facts must be false."
That just sounds like Bell’s theorem (old news). What in 2019 was added to that? — noAxioms
Sorry, but I don’t see what the AI adds that any simple device (like the circuit on the camera) doesn’t. — noAxioms
I like Carroll’s definition of observer, appropriate for something like MWI.
'As John Bell inquired, "Was the wave function waiting to jump for thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer for some highly qualified measurer—with a PhD?"'
— Andrew M
This does not seem to reference that definition, but more of the dictionary definition of observer. — noAxioms
It would seem that the theory [quantum mechanics] is exclusively concerned about "results of measurement", and has nothing to say about anything else. What exactly qualifies some physical systems to play the role of "measurer"? Was the wavefunction of the world waiting to jump for thousands of millions of years until a single-celled living creature appeared? Or did it have to wait a little longer, for some better qualified system ... with a Ph.D.? If the theory is to apply to anything but highly idealized laboratory operations, are we not obliged to admit that more or less "measurement-like" processes are going on more or less all the time, more or less everywhere. Do we not have jumping then all the time?
The first charge against "measurement", in the fundamental axioms of quantum mechanics, is that it anchors the shifty split of the world into "system" and "apparatus". A second charge is that the word comes loaded with meaning from everyday life, meaning which is entirely inappropriate in the quantum context. When it is said that something is "measured" it is difficult not to think of the result as referring to some preexisting property of the object in question. This is to disregard Bohr's insistence that in quantum phenomena the apparatus as well as the system is essentially involved. If it were not so, how could we understand, for example, that "measurement" of a component of "angular momentum" ... in an arbitrarily chosen direction ... yields one of a discrete set of values? When one forgets the role of the apparatus, as the word "measurement" makes all too likely, one despairs of ordinary logic ... hence "quantum logic". When one remembers the role of the apparatus, ordinary logic is just fine.
In other contexts, physicists have been able to take words from ordinary language and use them as technical terms with no great harm done. Take for example the "strangeness", "charm", and "beauty" of elementary particle physics. No one is taken in by this "baby talk". ... Would that it were so with "measurement". But in fact the word has had such a damaging effect on the discussion, that I think it should now be banned altogether in quantum mechanics. — John Bell, Against 'Measurement'
Ever seen the Andrei Linde interview on Closer To Truth? He talks explicitly about the role of the observer. — Wayfarer
When one remembers the role of the apparatus, ordinary logic is just fine. — John Bell, Against 'Measurement'
Which is to say, there is logically no view from nowhere. — Andrew M
You’ve said that before, and even though I obviously agree, I don’t think it’s as obvious, nor as insignificant, as you make it seem. As you might know, one of Thomas Nagel’s books is called ‘The View from Nowhere’. His point is to critique the widespread understanding that science provides a ‘view from nowhere’, meaning a view that is uncontaminated by anything we deem ‘subjective’, the aim being to arrive at a view which is at once universal and objective. — Wayfarer
The fact that observation has an unavoidably subjective dimension is the very thing that Einstein strenuously objected to - ‘does the moon continue to exist when nobody’s looking at it?’, he asked. He strongly believed that there was a reality that existed just so, independently of any act of observation, and it was science’s job to discern that. Insofar as it had to make concessions to ‘the method of observation’, then quantum mechanics was, to him, obviously incomplete. Wasn’t that the gist of the Einstein-Bohr debates? — Wayfarer
I don't think it's either obvious or insignificant. Nagel critiques "the view from nowhere" but he doesn't reject it. He instead proposes an additional subjective dimension (per the usual Cartesian subject-object dichotomy) that just entrenches the error. — Andrew M
The discomfort that I feel is associated with the fact that the observed perfect quantum correlations seem to demand something like the "genetic" hypothesis. For me, it is so reasonable to assume that the photons in those experiments carry with them programs, which have been correlated in advance, telling them how to behave. This is so rational that I think that when Einstein saw that, and the others refused to see it, he was the rational man. The other people, although history has justified them, were burying their heads in the sand. I feel that Einstein's intellectual superiority over Bohr, in this instance, was enormous; a vast gulf between the man who saw clearly what was needed, and the obscurantist. So for me, it is a pity that Einstein's idea doesn't work. The reasonable thing just doesn't work. — John Stewart Bell (1928-1990), quoted in Quantum Profiles, by Jeremy Bernstein (Princeton University Press, 1991, p. 84)
I don’t agree that Nagel’s diagnosis is erroneous. I think he pinpoints something real and insidious. — Wayfarer
And Bell's Theorem did nothing to validate Einstein's realist objections to 'spooky action at a distance'. — Wayfarer
It doesn't follow that the moon isn't there when no-one looks at it. — Andrew M
Let’s begin with a thought-experiment: Imagine that all life has vanished from the universe, but everything else is undisturbed. Matter is scattered about in space in the same way as it is now, there is sunlight, there are stars, planets and galaxies—but all of it is unseen. There is no human or animal eye to cast a glance at objects, hence nothing is discerned, recognized or even noticed. Objects in the unobserved universe have no shape, color or individual appearance, because shape and appearance are created by minds. Nor do they have features, because features correspond to categories of animal sensation. This is the way the early universe was before the emergence of life—and the way the present universe is outside the view of any observer. — Charles Pinter, Mind and the Cosmic Order
The moon (where 'moon' symbolises 'any object') does not exist outside your consciousness of it. However, neither does it not exist. The universe/world/moon/whatever is a featureless, undifferentiated and meaningless aggregation of matter-energy which is only differentiated into separate objects, with features and locations - which comes into being - in the mind of the observer. — Wayfarer
True that there would be no conscious beings to conceptualize the universe, or out it into words and write about it on a forum. — PhilosophyRunner
The universe/world/moon/whatever is a featureless, undifferentiated and meaningless aggregation of matter-energy which is only differentiated into separate objects, with features and locations - which comes into being - in the mind of the observer. — Wayfarer
But when inflation ends, the universe reheats into a hot plasma of matter and radiation. That actually does lead to decoherence and branching — Squelching Boltzmann Brains (And Maybe Eternal Inflation) - Sean Carroll
How could we make sense of the idea that something utterly undifferentiated and featureless could give rise to the vast and complex universe we observe? — Janus
So once inflation ends, the multiverse begins, until De Sitter space, when there's nothing left to decohere and make observations. Then all is just superposition. — Marchesk
‘There would be no objects with shape and appearance, because shape and appearance are created by minds’. But that is part of a larger argument. Context is important. From a naturalistic perspective of course it is true that objects exist independently of observation, but here we’re discussing the metaphysical issue suggested by ‘the observer problem’ — Wayfarer
Not to disagree, but an assertion like that requires a demonstration that they’re countable.The computable numbers are countable since they be put in a one-to-one correspondence with the natural numbers. — Andrew M
Interestingly, the real number generated by Cantor's diagonalization proof is a computable number, so I’m not sure if this counts as evidence that there are some real numbers not computable. Once again, not disagreeing with the conclusion, only with how it was reached.However the real numbers are not countable per Cantor's diagonalization proof. Thus there are some real numbers that are not computable.
OK, they managed to test something whose outcome (the CHSH inequality violation) was already predicted by quantum theory. It’s a new test, but not one that changed the theory or any of its interpretations in any way.That just sounds like Bell’s theorem (old news). What in 2019 was added to that?
— noAxioms
The addition is that the experiment tests a Bell inequality for a Wigner's friend scenario (which the paper terms a Bell-Wigner test).
Not sure where you get this idea. PoR is defined in a few placesYou are reversing logical priority here. The concept "frame of reference" is derived from the principle of relativity, not vise versa. — Metaphysician Undercover
And from the special relativity paper itself:In physics, the principle of relativity is the requirement that the equations describing the laws of physics have the same form in all admissible frames of reference. — wiki
Each one of these definitions of the principle of relativity references ‘frames of reference’ or ‘systems of coordinates’. I would go so far as to say that the PoR is derived from frames of reference, but it certainly is defined using the concept. Thus the reference frame precedes the principle, else the definitions above would all be meaningless.They suggest rather that, as has already been shown to the first order of small quantities, the same laws of electrodynamics and optics will be valid for all frames of reference for which the equations of mechanics hold good. We will raise this conjecture (the purport of which will hereafter be called the “Principle of Relativity”) to the status of a postulate
…
1. The laws by which the states of physical systems undergo change are not
affected, whether these changes of state be referred to the one or the other of
two systems of co-ordinates in uniform translatory motion — Einstein,1905
That’s like asserting that a mathematical point or a location in space must have a size. Your choice I suppose. It seems to just complicate what is otherwise a simple thing.So when I said "every moment of passing time", I implied that within any "moment" there is inherently some duration of time.
Sean Carol is a realist about the wave-function — Marchesk
WikipediaIn quantum physics, a wave function is a mathematical description of the quantum state of an isolated quantum system. The wave function is a complex-valued probability amplitude, and the probabilities for the possible results of measurements made on the system can be derived from it.
Perhaps my short-comings. — jgill
The observer simply needs to be able to interact - something rocks, gasses, and moons can do. In the context of this discussion, even if all life in the universe was extinguished, the parts of the universe will continue to interact with other parts, and the lack of consciousness will make little difference. — PhilosophyRunner
You do notice the "realist" assumption lying behind this, when that is precisely what is at issue. In other words, it begs the question. — Wayfarer
Not sure where you get this idea. PoR is defined in a few places
In physics, the principle of relativity is the requirement that the equations describing the laws of physics have the same form in all admissible frames of reference. — noAxioms
Galileo formulated the principle of relativity in order to show that one cannot determine whether the earth revolves about the sun or the sun revolves about the earth. The principle of relativity states that there is no physical way to differentiate between a body moving at a constant speed and an immobile body. It is of course possible to determine that one body is moving relative to the other, but it is impossible to determine which of them is moving and which is immobile. — https://www.tau.ac.il/education/muse/museum/galileo/principle_relativity.html#:~:text=The%20principle%20of%20relativity%20states,moving%20and%20which%20is%20immobile.
ut the realist attitude begs the question, insofar as the question is ‘does the object exist in the absence of any observer’? Whereas, the existence of objects for the observer is not in question. As idealist philosophers, such as Bernardo Kastrup, will argue, the fact of the experience of an objective domain is never at issue. What is at issue is the question as to whether that domain is really mind-independent. As Descartes said, we can doubt the veracity of any experience, but we can’t doubt that we are subjects of experience. And we can say that without begging any question whatever. — Wayfarer
YesThe necessity of acknowledging the existence of the observer, who is outside the equation, so to speak, is telling us something about the nature of reality. — Wayfarer
I am undecided on this. What it is telling me is that it is a fiendishly complicated issue at hand and I am not sure I have the correct tools to interrogate the problem. There are suggestions on how this may be interrogate using science, with quantum computers for example - I believe there is a post in this thread about the very thing. However I have not yet been able to wrap my head around this proposed experiment.And what it is telling us, is not necessarily something amenable to scientific analysis. — Wayfarer
I myself am accustomed to the ‘constructivist’ approach - that the reality which we naively take for granted as simply something given, something external and separate from us, is in some fundamental sense constructed by the mind - your mind, my mind. — Wayfarer
And what it is telling us, is not necessarily something amenable to scientific analysis.
— Wayfarer
I am undecided on this. What it is telling me is that it is a fiendishly complicated issue at hand — PhilosophyRunner
The way i interact with you is no different to the way I interact with other physical objects. — PhilosophyRunner
So saying that objects do not exist when you do not look at them, is begging the question just as much as saying that objects do exist when you do not look at them. — PhilosophyRunner
It’s so ingrained in us to think about the world without thinking of ourselves in it. It reminds me of Einstein questioning space and time — these features of the world that seemed so absolute that no one even thought to question them.
It’s said that in earlier civilizations, people didn’t quite know how to distinguish between objective and subjective. But once the idea of separating the two gained a toehold, we were told that we have to do this, and that science is about the objective. And now that it’s done, it’s hard to turn back. I think the biggest fear people have of QBism is precisely this: that it’s anthropocentric. The feeling is, we got over that with Copernicus, and this has got to be a step backwards. But I think if we really want a universe that’s rife with possibility with no ultimate limits on it, this is exactly where you’ve got to go.
How does QBism get you around those limits?
One way to look at it is that the laws of physics aren’t about the stuff “out there.” Rather, they are our best expressions, our most inclusive statements, of what our own limitations are. When we say the speed of light is the ultimate speed limit, we’re saying that we can’t go beyond the speed of light. But just as our brains have gotten bigger through Darwinian evolution, one can imagine that eventually we’ll have evolved to a stage where we can take advantage of things that we can’t now. We might call those things “changes in the laws of physics.” Usually we think of the universe as this rigid thing that can’t be changed. Instead, methodologically we should assume just the opposite: that the universe is before us so that we can shape it, that it can be changed, and that it will push back on us. We’ll understand our limits by noticing how much it pushes back on us.
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