xokocodo wrote:Apparently after you time travel, the windows on the machine disappear.
He changed history... obviously.
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xokocodo wrote:Apparently after you time travel, the windows on the machine disappear.
Pfhorrest wrote:Spoiler:
gmalivuk wrote:If your phase space isn't discrete, this doesn't make sense. Why do you think your phase space is discrete?Pfhorrest wrote:adjacent to the actual, present world in the phase-space of all possible worlds, i.e. it differs from this one as minimally as possible
gmalivuk wrote:I don't think there's any reason to treat space and time themselves as discrete, even if things like energy and frequency are. The Planck units are convenient to work with, but if the Planck length and time are physically significant, afaik it's because reality is too fuzzy to be discerned at smaller scales, rather than that reality is actually discrete at those scales.Pfhorrest wrote:Well, a posteriori, quantum mechanics suggests that any value which might change between two possible worlds can only change in discrete multiples of some minimum quantity (the Planck units), which would make the resulting phase-space discrete as well.
Vroomfundel wrote:gkawa wrote:You don't understand.
He went back and killed Hitler in the bunker!!! That's what you know NOW because that's what happened.
Before that, Hitler completed the development of a new weapon and won the war. In fact, xkcd was in German.
You can't remember that, he changed the whole world with that trip in time.
This wraps it up nicely - I'm surprise that it took more than one page of comments to get there.
Generally, there different ways time travel could work, and they fall in two broad categories.
In the first - timeline preservation - you simply can't change the past as it has already happened - as in the case of gkawa's reading of this comic. BHG, even if he had good intentions, simply couldn't have killed Hitler before he does what we know him for.
The second one - multiple timelines - you switch between/change/create timelines when you travel. If this was the case in the comic's multiverse and BHG did kill Hitler before his time - then upon the return trip he would find that no one has heard of Hitler and (a potentially worse) alternative history scenario has played out - if he only moves forward in time in the timeline he just created, that is. Maybe his original timeline exists in parallel, Hitler is alive and well and BHG never returns - unless the time machine actually transports him back to his original timeline. In this case, he'll be like 'hey, I killed Hitler, how come nothing has changed'. But then again, if he designed the time machine himself then he probably knows pretty well if it jumps between timelines or not.
ijuin wrote:gmalivuk wrote:I don't think there's any reason to treat space and time themselves as discrete, even if things like energy and frequency are. The Planck units are convenient to work with, but if the Planck length and time are physically significant, afaik it's because reality is too fuzzy to be discerned at smaller scales, rather than that reality is actually discrete at those scales.Pfhorrest wrote:Well, a posteriori, quantum mechanics suggests that any value which might change between two possible worlds can only change in discrete multiples of some minimum quantity (the Planck units), which would make the resulting phase-space discrete as well.
The Planck units do not require that spacetime be discrete at that scale--as said, they only indicate the smallest meaningful measurement.
The values of the Planck units derive directly from relativity and the principle of quantum uncertainty (specifically, the inversely-varying uncertainty in the position vs. the energy of a particle/wave).
Consider a photon with an arbitrarily short wavelength. Since e = m*c^2, and shorter wavelengths mean higher energy, eventually you will reach a point where making the wavelength any shorter will make the photon massive enough that it will collapse into a black hole due to its own gravity. The wavelength at which this happens is the Planck length, the energy of the photon is the Planck mass, and the time between peaks of the wave is the Planck time. Since greater precision in space requires lesser precision in energy, making any object or measurement smaller than the Planck length would require that its mass/energy be allowed to exceed the Planck mass (and thus that it be capable of collapsing into a black hole). Also, since no positive-energy body can travel faster than c, it is impossible to travel more than one Planck length in a single Planck time, which means that measuring shorter times than the Planck time would require also measuring shorter distances than the Planck length.
P.S.: Please note that the measurements of the Planck length, mass, and time are relative to whatever relativistic frame of reference is being observed, and thus is subject to relativistic differences of measurement. For example, a fast-moving particle would experience slower time, smaller distance, and greater mass from the perspective of a "stationary" observer.
Is this testable? If yes, can you explain what it means? If no, can you explain why your statement is more valuable than a couple of meta-physics buzzwords strewn together by a herd of manatees?
I can explain what it means. I'm not certain if it's testable, but it's not aiming to be a scientific theory of time, it's a philosophical concept of time on the same level of abstraction as eternalism or presentism.Is this testable? If yes, can you explain what it means? If no, can you explain why your statement is more valuable than a couple of meta-physics buzzwords strewn together by a herd of manatees?
It doesn't have to be discrete for the overall account to be basically correct, but it does have to be discrete for words like "adjacent" to make sense. If it's continuous, then the limit of change is 0, which obviously doesn't give you a past or future instance.philip1201 wrote:I don't see why phase space would have to be discrete for this to happen.gmalivuk wrote:If your phase space isn't discrete, this doesn't make sense. Why do you think your phase space is discrete?Pfhorrest wrote:adjacent to the actual, present world in the phase-space of all possible worlds, i.e. it differs from this one as minimally as possible
San Fran Sam wrote:for a second there, i thought he was going back in time to kill Vic Hitler the narcoleptic comic. Whew!
gmalivuk wrote:It doesn't have to be discrete for the overall account to be basically correct, but it does have to be discrete for words like "adjacent" to make sense. If it's continuous, then the limit of change is 0, which obviously doesn't give you a past or future instance.philip1201 wrote:I don't see why phase space would have to be discrete for this to happen.gmalivuk wrote:If your phase space isn't discrete, this doesn't make sense. Why do you think your phase space is discrete?Pfhorrest wrote:adjacent to the actual, present world in the phase-space of all possible worlds, i.e. it differs from this one as minimally as possible
Pfhorrest wrote:.... However, this discussion makes me wonder, if there are truly continuous variables in the universe, does that imply that there is no such thing as a fundamental physical bit of information, as there would be no such thing as a smallest difference between two possible states of the universe?
If that is so, what implications does that have on how many bits of information is encoded in any substantial difference between two such states? Since there are infinitely many possible transitional states between those two states, does that imply that any substantial difference encodes an infinite amount of information?
(A possibly related question: how many bits of information are necessary to encode an arbitrary real number, like say an irrational number? It seems you would need infinite precision and therefore infinite information).
On a related point, if we're thinking of the universe in information-theoretic terms, or even more broadly just in empirical terms, how are the limits of measurement not also the limits of reality? If nobody could ever in principle measure a difference (say in position) smaller than one Planck unit, then two states which "differ" by that much are indistinguishable in principle and so by Leibniz' Law identical, unless we were to concede that there was something more to reality than what could in principle be observed of it.
J Thomas wrote:I can explain what it means. I'm not certain if it's testable, but it's not aiming to be a scientific theory of time, it's a philosophical concept of time on the same level of abstraction as eternalism or presentism.Is this testable? If yes, can you explain what it means? If no, can you explain why your statement is more valuable than a couple of meta-physics buzzwords strewn together by a herd of manatees?
So, did he just tell you that it is nothing more than a couple of meta-physics buzzwords strewn together by a herd of manatees? Or was he saying something else? I think something about this interchange insults one or the other of you, but I'm not sure which.
Words have meanings. Words have different meanings to each person who uses them, and their meanings change with changes in understanding.
You both seem to assume that today's physics theory has a close relationship to reality. But why would you make such an assumption? Many physicists have assumed that in the past, and they were all wrong. What are the odds that this time they have it right?
Meanwhile, PFhorrest is a philosopher, dealing with tricky slippery concepts. How would you find out whether his ideas have any value in that domain? Or whether that domain itself has any value? It might be hard to tell for sure that philosophy is useless unless you venture onto those slippery slopes yourself. And yet the same argument could be made for scientology, and we all know that's wrong. So there must be something wrong with my reasoning, but I'm not sure what it is.
J Thomas wrote:Well, suppose that there were things going on that you could not in principle observe, but at some later time they had consequences. Maybe sometimes you could reason back from the consequences to tell what the unobservable states were. Maybe other times you could use later data to set limits on what the unknown states must have been, but in principle it cannot find all of them.
What difference does it make whether there are unknown states, or merely unknown probability distributions? I'm not sure it matters.
But then -- imagine that there are unknowable states for things, and at any time the unknowable states can shift things around in unpredictable ways. Like, they could at any time change the laws of physical nature to something we cannot predict. If that was true, then in principle we can never know what the laws of nature will be from second to second. The way to bet is that they will not change this second, but you never know.
Dueling aphorisms:
What you don't know, can't hurt you.
Anything you don't understand is dangerous until you do.
Clearly the first one is wrong. But it can be restated:
Anything which can never have any effect on you, can't hurt you.
Can you be affected by things you can't exactly measure?
But if A and B differ by less than one unit, and B and C differ by less than one unit, that doesn't mean that A and C differ by less than one unit.Pfhorrest wrote:If nobody could ever in principle measure a difference (say in position) smaller than one Planck unit, then two states which "differ" by that much are indistinguishable in principle
Pfhorrest wrote:J Thomas wrote:Words have meanings. Words have different meanings to each person who uses them, and their meanings change with changes in understanding.
If you're getting at what I think you're getting at, then I think you're on the right track: the value of my statement is in its use for clarifying our conceptual frameworks, of understanding the relationship of different concepts to each other, specifically the concepts of time and possibility, and the reality of both.
This is more than just affirming modal realism, as Philip read it; it is asserting a connection between modal realism and eternalism, and conversely between modal anti-realism and presentism, asserting that other times are a subset of other possible worlds rather than completely different unrelated kinds of things, and thus that the ontological status of one is linked to the ontological status of another, as they are the same kind of thing.
I'm not assuming that physics as it exists at present is absolutely correct, only that reality is inherently physical, as in objectively empirical, as in subject to consistent observation and measurement across multiple observers. Present physics is of course merely the best explanation so far of observations made so far, though as any workable future physics will need to subsume that explanatory power over those observations (plus whatever else we haven't explained or even observed yet), just like relativity subsumes Newtonian mechanics, it's reasonable to say that present physics is in some sense on the right track, even if it is perpetually incomplete; as were its predecessors, like the aforementioned Newtonian mechanics.
Meanwhile, PFhorrest is a philosopher, dealing with tricky slippery concepts. How would you find out whether his ideas have any value in that domain? Or whether that domain itself has any value? It might be hard to tell for sure that philosophy is useless unless you venture onto those slippery slopes yourself. And yet the same argument could be made for scientology, and we all know that's wrong. So there must be something wrong with my reasoning, but I'm not sure what it is.
The difference is that in examining the value of philosophy or of some particular philosophical idea, you are inherently doing philosophy and tacitly granting it enough value to be worth doing.
But in examining the value of Scientology (or any particular belief system, including any particular more-legitimate philosophical concept, like some concept of the scientific method), you are not necessarily doing Scientology or granting any value to it.
J Thomas wrote:Can you be affected by things you can't exactly measure?
The only way we ever observe anything is by their consequences, so if something has observable consequences, it is observable.
J Thomas wrote:But what evidence would we accept that somebody has gone to different universe? Is it enough to bring back photos? Rock samples? Memories?
No, the consequences are observable. Or maybe that's the consequences of the consequences that are observable? Or the consequences of the consequences of the consequences? Maybe it's turtles all the way down.
You can argue that to have values they must do philosophy
Very often, people who instinctively know what their values are start to get confused when they try to justify their opinions with philosophy. Before, they just knew. But logical snarls can persuade them they don't know.
Pfhorrest wrote:J Thomas wrote:But what evidence would we accept that somebody has gone to different universe? Is it enough to bring back photos? Rock samples? Memories?
We can ask the same question about other times, and that's part of what got me on this line of thinking. You can't do an experiment on the past or the future, you can't go visit them and then come back, you can't observe them from where (when) you are, any more than you can other possible worlds. We can only observe the present, and from evidence in the present we infer that certain things have been, will be, might be, might have been, could be, could have been, etc. The only logical contact with other times and other possible worlds we have is as hypothetical other configurations of the world which factor in to our models of the actual present world.
You can argue that to have values they must do philosophy
But I'm not. I'm arguing that if they are arguing about values, they are doing philosophy. Including arguing about the value of philosophy. If they just say "philosophy is bull", and upon being asked why say "it just is, and arguing about why is stupid", then they are not doing philosophy, they are just asserting an opinion about the value of something. But if they say that, and upon being asked why, give reasons, and then rebut counterarguments against those reasons, and so on... then they are doing philosophy.
dp2 wrote:But you are correct in that Hitler cannot be killed before the point where we know he was dead.
Eriskay91 wrote:This was an interesting comic, and all the time-warpy responses have been equally intriguing.
I just want to share a thought not originally thought of by me, but by the vlogbrothers over at youtube and the Nerdfighter community. See, there really is no need to kill baby Hitler. The proper solution to this problem is to kidnap him, and take him to an orphanage for evil babies aptly titled The Evil Baby Orphanage. Where baby Hitler will receive therapy, and all will be well.
This is, of course, not a perfect solution to the problems of the world; what kind of therapy should we go for, how do we decide exactly who's evil enough to earn a spot and how do we even take anyone but Hitler there given that this comic only allowed for one journey in time? Not to mention the already much discussed time-warpy issues. But it is a thought that I think is worth putting into this whole equation of making the world a better, more paradoxal place.
philip1201 wrote:All information we receive concerns the past. Neurons have finite speed, light takes time to travel and it takes a good long while for new observations to coalesce and be presented to the frontal cortex for analysis. If we want to consider anything true beyond "cogito ergo sum", we have to accept past data as valid. And we can only do experiments in the past and future, by looking at the received data and checking them against predictions, or by designing an experiment which will occur in the future, which for a future you will be the past.
The present is only an infinitesimal point in spacetime, possibly extended into an arbitrary 3D spatial volume depending on the velocity of the observer. The only logical things which can have an influence on the state of a particle in the present are all events in the particle's past lightcone. Interaction with the present is physically impossible, because instantaneous interaction violates causality for moving observers. What you are saying is physically wrong.
Pfhorrest wrote:I'm [...] just making a point about how we relate to time and cause and for that matter space and matter too. Strictly speaking it is all hypothetical. I can make an argument about why assuming that there is some kind of space, time, matter, and causation is a necessary hypothesis to make any sense out of anything, but the particulars about them all are always up for debate.
J Thomas wrote:Pfhorrest wrote:I'm [...] just making a point about how we relate to time and cause and for that matter space and matter too. Strictly speaking it is all hypothetical. I can make an argument about why assuming that there is some kind of space, time, matter, and causation is a necessary hypothesis to make any sense out of anything, but the particulars about them all are always up for debate.
Let's take it a step further -- we all know that we heavily censor the perceptions we use to understand the world. A whole lot of what we experience does not make sense, and when it does not make sense we assume it is a dream. People who don't make that assumption are assumed to be hallucinating and there are medications that are supposed to help them fit into society, or at least to cause less harm.
I cannot stress enough how convenient it is to dismiss anything that does not fit our preconceptions as a dream.
Pfhorrest wrote:J Thomas wrote:A whole lot of what we experience does not make sense, and when it does not make sense we assume it is a dream. People who don't make that assumption are assumed to be hallucinating and there are medications that are supposed to help them fit into society, or at least to cause less harm.
I cannot stress enough how convenient it is to dismiss anything that does not fit our preconceptions as a dream.
Quite. Dreams -- as in, the theory of dreams, the hypothesis that when people sleep mental processes happen which resemble waking perception but in fact are not, rather than that people are actually mentally transported somehow to another body in some other world where everything is very different and then returned to their bodies in this world, or some such -- are just another part of our attempts to make sense of a series of observations. Just watch any science fiction for some (albeit far-fetched) hypothetical scenarios where the veracity of that hypothesis might be called into question (i.e. "I thought it was just a dream, but in fact aliens were communicating with me", "I thought it was just a dream, but I was actually transported to another dimension and back", etc). The theory that our dream-perceptions are caused by the psychological and neurological processes we think they are is totally falsifiable. It's just that so far, nobody's come up with credible evidence favoring another theory more strongly, and it looks improbable that anyone ever will.
J Thomas wrote:The more elaborate the indirection, the more likely you are to get silly results. So for example, neutrinos are almost undetectable. Every now and then something happens that you can assume would not have happened unless a neutrino intervened at precisely the right moment, so that's your evidence that a neutrino was there. But people calculated the number of neutrinos they expected to see from the sun, and they didn't get that number. They got about half as mny. They could have assumed this meant there was something about the sun they didn't know. But instead they assumed that the sun's neutrinos oscillate between a form that is rarely detectable and a form that is completely undetectable. And the fact that at any given time half of the neutrinos are completely undetectable has profound implications. It's possible that all this is clearly the right way to think about it when you have enough background information. But from where I sit it looks like assumption piled on top of assumption. The observable consequences are too far removed from the hypothetical causes.
ijuin wrote:J Thomas wrote:The more elaborate the indirection, the more likely you are to get silly results. So for example, neutrinos are almost undetectable. Every now and then something happens that you can assume would not have happened unless a neutrino intervened at precisely the right moment, so that's your evidence that a neutrino was there. But people calculated the number of neutrinos they expected to see from the sun, and they didn't get that number. They got about half as mny. They could have assumed this meant there was something about the sun they didn't know. But instead they assumed that the sun's neutrinos oscillate between a form that is rarely detectable and a form that is completely undetectable. And the fact that at any given time half of the neutrinos are completely undetectable has profound implications. It's possible that all this is clearly the right way to think about it when you have enough background information. But from where I sit it looks like assumption piled on top of assumption. The observable consequences are too far removed from the hypothetical causes.
To put it in the simplest terms that I am able, it upsets known physics a lot less to assume that half of the neutrinos become undetectable than to assume that they were never created in the first place. Assuming that only half the expected number of neutrinos are produced by the Sun would mean that either 50% of fusion reactions produce zero neutrinos while 50% produce one neutrino (even though the reactions ought to all produce either exactly one or exactly zero), or else there are only 50% as many fusion reactions going on inside the Sun, in which case said reactions release twice as much energy each as we believed while happening only half as frequently, which completely upends our understanding of fusion and the internal processes of stars.
As an aside, let's look at the implications of the "half as many fusion reactions, therefore half as many neutrinos" hypothesis. Not only does this mean that we are getting twice as much energy from each reaction as we thought (which OUGHT to show up in H-bomb tests and fusion reactor tests producing more energy than anticipated), it also means that stars burn through their fuel half as fast, and therefore age half as fast and live twice as long. That would require that most of the stars that we see be twice as old as we assume that they are. First of all, that would require a re-calculation of cosmology to allow the Big Bang to be twice as long ago as we believed, and second of all, it would require that the Earth itself be twice as old as we believed (and all radioactive-dated minerals and fossils--and since this dating method is based on FISSION reactions, it implies that the rules of fission would have to have changed just as much as the rules of fusion).
As such, you can see that assuming that fewer neutrinos are produced pretty much amounts to pulling the rug out from under our understanding of nuclear reactions over the past 75-80 years, whereas saying "they are there but we can't see them" changes things much less and is preferable until we have a theory that would allow fewer neutrinos to be produced without upsetting the reactions.
Then the laws of physics depend on your location, and we can't reliably do science any more.J Thomas wrote:But what if the reality is that the law of conservation of energy, momentum, etc are not quite true?
gmalivuk wrote:Then the laws of physics depend on your location, and we can't reliably do science any more.J Thomas wrote:But what if the reality is that the law of conservation of energy, momentum, etc are not quite true?
Which isn't very, if the laws aren't the same everywhere.J Thomas wrote:Then we can reliably do science as well as physical reality lets us.gmalivuk wrote:Then the laws of physics depend on your location, and we can't reliably do science any more.J Thomas wrote:But what if the reality is that the law of conservation of energy, momentum, etc are not quite true?
gmalivuk wrote:Which isn't very, if the laws aren't the same everywhere.J Thomas wrote:Then we can reliably do science as well as physical reality lets us.gmalivuk wrote:Then the laws of physics depend on your location, and we can't reliably do science any more.J Thomas wrote:But what if the reality is that the law of conservation of energy, momentum, etc are not quite true?
J Thomas wrote:In recent generations there's been a prejudice in physics to see particles everywhere. Like, it's been observed that when you have a fixed electric charge, other nearby charges get pulled toward it or pushed away. That's what's observed. But people want to think that only particles can push or pull and only when they're in the same place, so they imagine undetectable particles that stream out from one charge to hit other charges and push them, that then bounce back to the source and push on it. Or particles that somehow stream out and pull when they hit before they bounce back and pull again. Similarly for gravity, light, and anything else that looks like action at a distance. We observe action at a distance and we imagine particles. What's wrong with fields? It looks like sheer prejudice to me, but then physicists do use field ideas whenever they're useful for computation or whatever.
gmalivuk wrote:Well yeah, but in an inconsistent universe we can't make predictions or useful discoveries, so we might as well assume it is consistent unless/until proven otherwise.
Pfhorrest wrote:gmalivuk wrote:Well yeah, but in an inconsistent universe we can't make predictions or useful discoveries, so we might as well assume it is consistent unless/until proven otherwise.
What could even count as conclusive proof otherwise, rather than "there is this really weird phenomenon we don't understand at all yet"? How can we tell the difference between something being contingently not understood and something being necessarily incomprehensible? And if we can't, why should we ever be defeatists and assume it is an insurmountable problem rather than just an unsolved one?
If a universe has time- and location-invariant rules, it has conservation laws that don't fail. Ergo, if conservation laws sometimes fail, the universe must not have time- and location-invariant rules. Sure, this doesn't quite mean it's inconsistent, but it still makes science pretty hard if we're forced to admit that the laws of the universe today might not be the same as yesterday, and that they may also be different on the Moon.J Thomas wrote:As if any universe where conservation laws sometimes fail must be inconsistent.
gmalivuk wrote:If a universe has time- and location-invariant rules, it has conservation laws that don't fail. Ergo, if conservation laws sometimes fail, the universe must not have time- and location-invariant rules. Sure, this doesn't quite mean it's inconsistent, but it still makes science pretty hard if we're forced to admit that the laws of the universe today might not be the same as yesterday, and that they may also be different on the Moon.J Thomas wrote:As if any universe where conservation laws sometimes fail must be inconsistent.
It may not be intuitive, but it's true nonetheless. Noether's theorem states that, in particular, a physical system that behaves the same regardless of spatial orientation conserves angular momentum, one that behaves the same regardless of time conserves energy, and one that behaves the same regardless of position conserves (linear) momentum. Therefore, a physical system in which e.g. energy is not conserved is a physical system that behaves differently at different times.J Thomas wrote:You might easily be right about this, but I am ignorant about it and I don't see it immediately.
gmalivuk wrote:It may not be intuitive, but it's true nonetheless. Noether's theorem states that, in particular, a physical system that behaves the same regardless of spatial orientation conserves angular momentum, one that behaves the same regardless of time conserves energy, and one that behaves the same regardless of position conserves (linear) momentum. Therefore, a physical system in which e.g. energy is not conserved is a physical system that behaves differently at different times.J Thomas wrote:You might easily be right about this, but I am ignorant about it and I don't see it immediately.
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