On of the "Maybe One Day" arguments I have regularly had is the one that goes "Maybe one day we will be able to exceed the speed of light". This is a pet favourite hate of mine, as if you have studied physics, you know it's impossible. However if you watch a lot of sci-fi, it does seem like something where the problem is our primitive science.

It's not our science. The universe we live in would not be able to exist if you could exceed the speed of light. Or if the speed of light could change. Or even if it was different.

The problem with trying to explain something without using a lot of science, is that even a simple explanation can get quite complicated. So for this explanation below, I'm going to need you to accept two axioms.

  1. The speed of light (itself) in a vacuum is a constant (It's exactly 299,792,458 m/s)
  2. E = mc^2

Now both of these are provable. For the time being you need to accept that this is both true and provable. I'll try write another post to cover this, but trying to do this here would make this simple explanation of why we can't go faster than the speed of light not so simple, and I'm trying to keep things simple.

Now if you accept that energy and mass are proportional, by a constant factor, then the more energy you put into something the more massive it gets. In fact energy and mass are really two different forms of the of the same thing.

So if you want something to go faster, you need to put energy into it. And the heavier something is the more energy you need to accelerate it. So as you accelerate your object (for example your spaceship), it gets more massive, which in turn requires more energy to accelerate it faster, which in turn makes it more massive, which in turn requires even more energy to accelerate it, and so on and so on.

So to accelerate UP TO, you need an infinite amount of energy. You need more energy than exists in the universe. And even then your not actually exceeding the speed of light. This is why particles of light (photons) have zero rest mass.

So it's not that we don’t have a power or source or engine big enough to power our spaceship, it's that we don't have enough energy in existence and never will. It's simply not possible for a particle with mass let alone you and your spaceship to travel at or beyond the speed of light. It's not our level of science that prohibits it, but rather the fundamentals of the universe itself.

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07 Nov, '05 8:01 PM

1. Damo

This is all true(or at least the theories say it’s true) but recently certain theories have come to the fore - one gem talks about how light may actually get slowed down due to occurrences of matter in the vacuum of space. Just a little thought.

My problem with science fiction (which touches on this subject a lot) is that the authors don’t research sciences enough when they put half of this crap in books, tv shows and films (sound effects of explosions in space anyone?).

also, here’s a good one for you (assuming you haven’t heard of this before) - when you approach light speed you gain enough mass to travel faster than light by being smashed into an alternate universe, where our laws of physics don’t exist.

07 Nov, '05 10:36 PM

2. Adrian

Slowing down light isn’t a problem, it’s speeding up other things. Light moves slower through a medium.

Alternatives universes may exists where the physics is different. However nothing will ever be able to move between them (no matter how much mass you have) so it’s all pretty academic.

Questions:

What is time? How do you measure it? How do you make it slow down?

08 Nov, '05 10:16 AM

4. Adrian

Stalker,

Time is the 4th dimension, and 1st temporal one. It is a fundamental quantity (quantities which cannot be defined via other quantities because there is nothing more fundamental known at present). By respect distance is defined as a measure of time, and hence is not fundamental

The base unit, the second is measured as 9192631770 oscillations of specified transition in Cs-133 atom. Time is then measured as how many base units, or oscillations can occur during a measure.

You make it slow down, (relative to an static observer) by travelling at very high speeds or large gravitational fields. This is known as time dilation. The kind of speeds we’re talking about are around 30000km/s (about 10% of the speed of light). At 86.5% time slows down by half.

08 Nov, '05 10:18 AM

5. MA

Think about the non-Euclidean Geometries: all they had to do was to assume, that one of the basic axioms was wrong, and they discovered alternative worlds, where rules are totally different. And guess what? It turned out that these worlds do exist. In our universe.

Every proof is based on certain axioms. You may say that in physics the axioms are based on real live observations - but how can you possibly be sure, that these observations are comprehensive enough to represent whole universe?

What MA said. But with an extra black swan thrown in for good measure.

08 Nov, '05 10:27 AM

7. Adrian

MA, Assuming one of the axioms are wrong does give rise to an alternative universe. This however doesn’t make that universe exist, and it certainly does exist in our universe. You cannot have two laws of physics operating simultaneously in the same space time.

It’s not that the observations are comprehensive enough to represent the whole universe, it’s that the observed property is independent of observation. The properties exist we observe them or not, and since they are the fundamental structure of the universe, they apply to the whole universe. The universe all came from the same point.

08 Nov, '05 10:28 AM

8. Destructor

Most FTL drives in sci-fi do NOT involve accelerating a ship up to and beyond the speed of light. They involve jumping to some kind of alternate place/layer/dimension/subspace, and using that medium to travel, before popping out in the required location. We know that some ‘other’ dimension exists because these damned particles keep popping briefly out of it (hence the whole ‘alternate universe’ theory people keep banging on about). Whether it can be used to travel at FTL speeds is another matter, but since we haven’t even gone to another PLANET yet, maybe it’s a bit early to start speculating about whether or not it can be used to travel to other star systems.

And YES I realize that being able to get to a destination before the light from the system you left from gets there would cause horrible relativistic time problems, but minds no smaller than Einsteins and Hawkings agreed it would be possible, and they were, about, oh, I don’t know, a gajillion times smarter than we.

08 Nov, '05 10:40 AM

9. Adrian

Some sci-fi does that. A lot just skips the detail entirely or makes up new physics. The whole ‘alternative universe’ theory is not theory, as fiction. Most scientists agree that if alternative universes do exist there would be no way to travel between them, as you just can’t move from one set of physics to another.

The problem with FTL travel, no matter how it’s done is you have to throw out casualty. And you simply can’t throw out causality. It’s not that you get to the destination before the light from the system you left gets there, it’s that you get to a destination before you yourself have left the system you left from gets there.

Casualty is another big way of showing that one cannot exceed the speed of light, but it’s even harder to explain that the simple energy explanation I’ve placed above.

Saying horrible relativistic time problems implies there is a solution we haven’t yet come across. What horrible relativistic time problems is that the rules that govern the universe don’t work anymore if you exceed the speed of light, which is why you can’t. You can’t just dismiss relativity. Or alternatively, to exceed the speed of light, you have to dismiss relativity, and so far, relative has stood up as pretty darn well to not being dismissed.

Bring me solid science showing theoretically and experimentally how relativity can be dismissed, and casualty can be broken, and I’ll accept FTL travel is possible. Say “maybe one day we will be able to exceed the speed of light” and I’ll grind my teeth. Speculation is not a stronger argument than proven science.

08 Nov, '05 11:46 AM

10. Gordon

I can still remember sitting in my Higher Maths class towards the end of term, discussing this with our teacher.

What happens if light is grey, instead of black and white?

Maybe one day we WILL, that’s not speculation, that’s optimism. A healthy dose of which may be a good thing for the ‘scientist’. A ‘can do’ attitude and all that.

Anyway, remember when the world was flat… what a hoot that was, eh!

08 Nov, '05 11:56 AM

11. Adrian

No, it’s speculation. Much as saying “one days monkeys might fly out of your butt”.

See the problem is not the scientists. The scientist are working on ground breaking things all the time. They are working on trying to find and discover the fundamentals of the universe. There are scientists all over the world, trying to understand what makes our DNA tick, and how point particles may actually be vibrating strings smaller than the Planck length.

Everyone has this supposition that scientists are the ones refusing to think about future possibilities. They’re not. Scientists are probably most eager of all to break new science. Breaking science gets your Nobel prizes and your place in the history books.

What scientists don’t do is sit around going “maybe one day”. What they do do, is look at the world we live in and try to explain it, or further our understanding of the explanations we have by proving them experimentally.

The world may have been thought to have been flat, but it was never proved to be. It has however proved to be (more or less) roundish. Using the fact that people though incorrect things in the past is not a proof they things we think to be true today are incorrect as well.

08 Nov, '05 12:42 PM

12. Matthew

What about wormholes? They are perfectly accepted by scientists, including Einstein and Hawking, as a method of travelling vast distances across space-time at speeds far in excess of the speed of light. Granted, you would be travelling at sub-lightspeed whilst in the wormhole, but the distances travelled would mean relativistically (?) you were travelling faster than light, albeit through a shortcut.

08 Nov, '05 12:44 PM

13. Destructor

The whole ‘alternative universe’ theory is not theory, as fiction.

That’s bollocks. It’s an extremely well-regard theory, because there isn’t currently any other explanation where these particles are coming from that doesn’t disobey the law of thermodynamics. If fermions can cross over (albeit briefly, but observably), it’s not UNTHINKABLE that larger particles can also cross over.

It’s not that you get to the destination before the light from the system you left gets there, it’s that you get to a destination before you yourself have left the system you left from gets there.

Can I leave this sentence before it gets there?

So what you’re saying is: Einstein and Hawking = wrong. You = right. And your nobel prize is where?

I never said ‘exceed the speed of light’, in fact I clarified that I wasn’t saying that! I said: Disappear from one point in the universe and appear at another point in the universe before the light from the first point reaches the second. This doesn’t, actually, cause any unsolvable relativistic problems (like sending a message to yourself telling yourself not to go in the first place), although it does create problems. All you’d need is an Einstein-Rosen Bridge, which has never actually been dismissed as a possibility- in fact, it makes mathematical sense, which is why it’s considered a theory at all.

In other words: Will we ever be able to make FTL jumps? Certainly not with your attitude.

08 Nov, '05 1:33 PM

14. QE

Black swans 4tw. cough Sorry.

Nobody is disagreeing with the statement that you can’t simply accelerate until you’re going faster than c. However there are a couple of other things that - while clearly not probable - don’t seem impossible under the current system (or at the very least, haven’t been demonstrated as such to this audience - perhaps more proof is in order).

You’re arguing absolutes, and only a Sith Lord logician deals in absolutes. You are reasoning with a system that is only related to the one we are discussing by convention, and I get the impression that at times you’re not giving that fact its due. We’re rapidly getting back to that discussion about scientific discussion being like proselytisation.

I would like to hear the proof that causality absolutely cannot be breached, though. That may be the way to get Dan to leave you alone…

08 Nov, '05 2:31 PM

15. Adrian

This whole black swans thing is going over my head.

However QE & Dan are right, there is a difference between accelerating objects to the speed of light, which I hope I have proven is impossible, and finding a shortcut where you still travel at sub light speeds.

However these all seem to break causality themselves, as you are effectively sending information at FTL speeds, which you cannot do, because it breaks causality. I don’t want to go to deep into causality here, because the explanations are fairly complex. I can give it it’s own blog post if people are interested.

I will however give a short answer, using wormholes, which hopefully may answer both QE and Matt’s questions.

Relativity says that an events cause must precede it’s effect. Special relativity has shown that it is not only impossible to influence the past it is also impossible to influence distant objects by signals that are faster than light. A wormhole would allow you to do this. It gets very complicated trying to explain this, which is why it may need its own blog post, but essentialy you create something called a closed timelike curve, which would mean it would be possible to kill your grandfather. Whilst this makes for good science fiction, and great suppositions, it does appear this is why it may not be possible to have a stable wormholes. Also note that wormholes are merely theoretical and they have not been found nor created experimental. And as far as I can tell, nor have they been able to show the theoretical physics of how they could (be actually made and used). Like I said it’s really complicated.

Lastly to answer some of Dan’s statements. Whilst there are many models of the universe that do use alternative universe to try explain some observations, there is no science as of yet that proves the existence of them. They’re used as ways of getting round unsolvable problems, but they don’t actually solve problems. String theory has a lot more going for it to explain the universe than alternative universes. I have not seen anything that says even were these universes to exist, how we could find them or cross over into them.

I never said Einstein or Hawking were wrong. They are right. It is their work that shows causality to be a big problem in jumping space in an FTL fashion. Also note their is a massive difference between what may be possible with particles and what would be possible with you and your space ship. As you get into string theory, this becomes more apparent as particles it appears don’t exist, and it’s far more down the the vibration state of strings or multi-dimensional membranes. And what appears to be happening on those kind of scales isn’t necessarily the FTL jump that we think is happening in a particle model.

Even then you simply cannot extrapalote upwardsextrapolate that if a theoretical model exists where a membrane or point particle could jump locations in a FTL fashion, that a body of mass (i.e. our space ship) could. In many cases this it appears that something like a wormhole would breakdown or degrade as you tried to send something through it, rather than rather than it actually allow you to move to the Delta Quadrant.

That and to keep a wormhole open, regions of negative energy would be needed. That’s a big problem in itself.

08 Nov, '05 3:18 PM

16. Destructor

Well, for starters the Bajoran wornhole went to the GAMMA quadrant, not the Delta quadrant (you must be thinking the Barzan wormhole, which did not have a fixed exit/entry point, but moved through the universe), and since it was powered by aliens on another plane of existence, I don’t think regular phsyics apply to them- the Prophets lived outside the regular stream of time.

You can’t argue against alt. universe theory by using string theory, since they’re both equally unproven!

Please outline how one would use a FTL jump to break causality. It’s already been demonstrated that you could NOT use an FTL jump to send information backwards to prevent yourself from making the original jump, which was Einstein’s main problem with causality. If you were to accelerate to light-plus speeds, relativity would certainly have some extremely bizarre effects, but we’ve already agreed that kind of acceleration is impossible. I’m saying what is, Battlestar Galactica-style, I just disappeared from where I am now and ended up twenty light seconds from Earth. It would take 20 seconds for Earth to even know I’d got there. What could I possibly do to break causality?

08 Nov, '05 3:30 PM

17. QE

Sounds fair enough to me. I’ll complain more about causality when I’ve gone and read your reference for closed time-like curves.

Black swans are one of the canonical examples of the problem with philosophical inductivism as a way deducing facts about the real world. In the middle ages, people had noted that they saw only black ravens and white swans. After sufficiently many instances of a swan being white and a raven being black with no instances of either contrary case, they felt confident in assuming that this would always be the case: that all ravens were black, and all swans were white. When European man got to Australia, he found black swans.

08 Nov, '05 3:36 PM

18. Adrian

You can’t argue against alt. universe theory by using string theory, since they’re both equally unproven!

However string theory is more developed and does apply to the physics in our universe. Alternative Universe or a Multiverse model, says that other physics may exist in an alternative universe. I’ve seen very little theories how this explains the physics in our universe.

You’re BSG explanation is a little simplified. If you want a further blog post on how this breaks casualty, and it looks like you and QE do, I’ll do one. However it’s a really bitch to explain, so you’ll have to give me some time. It may involve diagrams. It has a lot to do with relativity, and how relative to a 3rd party on neither earth or in your space ship, you actually land up arriving 20s away from earth before you left. I think. Like I said it’s complicated and hard to explain, which is why I didn’t tackle it in this blog post.

08 Nov, '05 4:28 PM

19. Destructor

Don’t talk down to me, science-boy, I know how relativity works! If you can demonstrate to me how instantaneous travel breaks causality particularly to a third observer, I’ll be very impressed. As will scientists the world over who actually spend their days thinking about exactly this kind of problem.

Relativity says that an events cause must precede it’s effect.

WHAT?!? The “law of cause-and-effect” has never been enshrined by scientists because it’s more of a philosophical issue. Change is entirely subjective in relativistic terms. Einstein himself said there was no reason, if you did travel ‘back’ in time (which FTL travel does not entail!), to think that you couldn’t top your old grand-dad.

08 Nov, '05 4:57 PM

20. Adrian

Like I said I will show how instantaneous travel breaks causality, in a future blog post, as it’s too complicated for me to whip and easy to understand solution without sitting down and thinking about it carefully. And drawing some diagrams. Making complex things simple is tough, and I am neither Feynman or Singh who have that talent.

The short answer I have already explained. Move instantly in space creates closed timelike curves. Closed timelike curves are equivocal to time travel. Timetravel breaks causality.

Special relativity says that events that are simultaneous in one frame of reference don’t have to be simultaneous in another frame of reference. So two events (event A and event B) can occur at two different points of space at the same time in one frame of reference but not in another.

So in one frame of reference, A occurs before B, and in another event B occurs before A. Now if you can send information faster than the speed of light (via your wormhole jump) in one frame of reference you can stop an event occurring after it has occurred in another frame of reference.

Like I said it’s complicated. I’ve been wracking my brain for 2 days trying to think of a way to explain it better, but I really need an afternoon to sit down and draw diagrams with myself to explain, how this works, how light cones work, and how events can be simultaneous for people on a very fast space ship, but not for people on a train platform.

08 Nov, '05 5:18 PM

21. Adrian

Out of interest, is anyone finding the comments interesting? Is anyone reading the comments?

Or is this just me and Dan having an argument?

08 Nov, '05 5:32 PM

22. Matthew

The comments are interesting, but I’m trying to come up with an argument as to how I could prove that FTL travel may well be possible, without it being either a “Maybe One Day” argument or an “if I had a time machine I’d show you” argument. It seems to me, as in most scientific theories, that there are many theories that disprove it, and an large number of equally sound theories that also prove it to be entirely possible. Or basically it’s the “you are both right” argument, which you don’t want to hear either, I assume.

And I am also enjoying the argument. Why do you think I read both yours and Dans blogs more than anyone elses? It’s the arguments, you see.

09 Nov, '05 10:31 AM

23. Fred

There is Faster Than Light travel. Not of you, me and cars but of small particles like an electron. I remember hearing about it in university. It’s called Quantum Tunneling. If I remember correctly you basically you send an electron against a barrier and with a small probability it pops out on the other side faster than the speed of light. A particle would not be able to do this but a particle wave can. (The particle/wave duality is another assumption to discuss.) Here is a link on the subject.

For larger things such as myself there are some practical problems to solve when travelling at the speed of light. Due to the mass one would travel through universe like a huge magnet attracting planets, light, space stations and other random space goo. Better get those titanium window wipers screwed on. Then take off would take forever. To accelerate to c and surviving it you would have to accelerate for 6 months assuming a human can’t stand no more than 2G of prolonged exposure. Same goes for slowing down.

My bet is on a wormhole or fiddling around with Plank’s constant so that we can experience wave properties too. Pickup line “Let’s walk through a door together?”

09 Nov, '05 10:37 AM

24. Cathy

I’m also finding the comments very interesting, please continue!

When I first read this post yesterday morning I was going to comment and ask how photons can have energy and momentum when they don’t have any mass (something I never understood amongst all the Physics reading I did during A-levels), but then I saw that a serious and complicated discussion had started instead, so thought I wouldn’t interrupt :-)

09 Nov, '05 10:59 AM

25. QE

“Out of interest, is anyone finding the comments interesting? Is anyone reading the comments? Or is this just me and Dan having an argument?”

All of the above. I’m with Matthew on this one…

09 Nov, '05 11:05 AM

26. Fred

Cathy, a photon is usually seen as a wave moving through space very quickly i.e. speed of light. As small particles are assumed to have a duality of wave and particle properties the photon can also be considered as a moving particle which would have kinetic energy (Wk = mv2/2). So if we are observing it as moving (energy) it must also have mass. This is why light bends around big planets. The gravity force attracts the light and alter its initial direction. A resting photon as Adrian said has zero mass and I guess that there is no such thing as a static photon hence zero.

Don’t take my word for it but I think this is how it works, I’ve not had physics in the last 7 years but enjoy bringing it back to life.

09 Nov, '05 11:44 AM

27. Adrian

Fred, although quantum tunneling appears as if you can get something to tunnel faster than the speed of light, it appears that you can’t actually send information itself. It appears this is more a manifestation of the Heisenberg uncertainty principle rather than actual FTL communications.

If it is possible to send information via quantum tunneling, it would then be possible to send information into the past by placing the apparatus in a fast moving plane of reference. Wham bam, causality problems, ma’am (also known as ‘Please Grandma, don’t shag Grandad’). Same problem with wormholes.

I’ll try write a post next week on causality after the weekend.

Dan, note that that article linked to by Fred says

According to Einstein, speeds faster-than-light were impossible because causality paradoxes could occur relative to some observers.

Cathy, I’m going to disagree with Fred here. Not only because the duality of light being a particle and a wave is becoming more interesting as string theory is providing some strong evidence to explain this. Don’t ask me to explain how string theory explains this as it confuses me greatly, as it’s even more complicated than anything mentioned here.

The photons being able to move at the speed of light thing, actually comes down to more how we define mass. The “relativistic mass” of an object is the same as it’s energy. We don’t really need to talk about “relativistic mass” at all, as energy is perfectly acceptable and explains the same thing. This does change with velocity.

The actual mass of an object is a fundamental and invariant property. This is not the same as its “relativistic mass” or energy. For a photon it’s energy or momentum can vary with it’s frequency, and we know higher frequency light or elector magnetic waves carry more energy (i.e. microwaves can cook, but TV signals don’t).

However a photons intrinsic (or invariant) mass is zero regardless of it’s frequency.

Light also appears to bend with gravity, because gravity is not a force as we like to think it is, but the bending or warping of spacetime. Light bends because spacetime bends.

/disclaimer: There are more complex explanations of this, but I am deliberately trying to keep the heavy maths out of it.

09 Nov, '05 12:46 PM

28. Fred

With regards to warped spacetime. Yes your right, but spacetime is warped depending on the distribution of mass and energy in it. There is no ether or something like that just is bent when the photons come along. They have to be there for the warping to occur.

09 Nov, '05 3:56 PM

29. Cathy

Light being unable to escape from black holes was another thing that used to contribute to my confusion (because if it’s affected by gravity it must have mass, right?) until I found out about the curvature of spacetime.

I’m really getting a hankering to go and read some Feynman now (or at least John Gribbin).

09 Nov, '05 4:50 PM

30. Fer

Adrian: “You cannot have two laws of physics operating simultaneously in the same space time.”

You are making an assertion based on your limited experience. Even if we knew all the laws governing everything we can observe, by definition your experience is limited in space by a sphere of radius 15 billion light years (as any further space wouldn’t have had enough time for any signal to reach us). How do you know that tomorrow we won’t suddenly pick up a signal from the edge of the visible universe which indicates that there is a region beyond the current radius which has different laws of physics? There may be a different speed of light, or a different number of dimensions, or anything.

09 Nov, '05 5:03 PM

31. Adrian

No, I’m making an assertion based on what I’ve read about science, which has a pretty good indication that the laws of physics are uniform throughout the universe. If the big bang is correct, and it seems that it is, all the laws of physics came from the same source.

The edge of the universe isn’t just the edge we can see. It’s the edge beyond it our universe does not exist. Other universes with alternative physics may exist elsewhere, but they cannot exist in our universe or our spacetime.

At the edge of our universe, you don’t cross over into a universe that has different light speeds, as there is nothing to cross over into. Any signal we pick up, must come from our universe and hence must exist according to our physics.

09 Nov, '05 6:24 PM

32. Tol

The science here is way over my head - but my philosophy of science used to be pretty good.

Absolute statements of ‘we will never’ were frowned upon, because our current understanding (in good science) is always looked on as the current theory, rather than absolutely correct. It can and will be updated as new information comes along. Good theories are those that are liable to testing and being disproved and improved upon. The assumption that our understanding is perfect is faith-based, and faith is the domain of the irrational (using the word technically, rather than pejoratively).

We don’t still think in flat-earth, centre of universe terms, but we may still have assumptions of a similar nature (if not degree) that we haven’t advanced culturally or scientifically enough to be able to cast off.

If you’re striving for scientific accuracy, and a good scientific outlook, don’t have absolute faith in our current equations, models and the like. Newtonian physics was the ‘complete’ model of how things are not that long ago. Our understanding will evolve. Abandoning the idea that it will is unscientific.

I’m greatly enjoying the debate - even if I don’t understand the technicalities of the science you’re discussing.

Tol

10 Nov, '05 10:34 AM

33. Fer

Actually the prospect that the universe could have developed in separate ‘bubbles’ with different laws of physics / constants of nature is consistent with certain models of the inflationary theory [which is believed by many to be the best explanation of the large-scale uniformity of the observed universe if we accept the big bang theory as correct (in naive terms, why dies the universe 15 billion light years in one direction look broadly the same as that in 15 billion years in the other direction, even though they are 30 billion years apart? The unevenness which would otherwise have come out of the big bang should still be apparent, as any signal which could ‘smooth’ the unevenness couldn’t have occurred unless these areas were initially much closer together - i.e. we need a period of hyperexpansion to make the big bang model work).]

The attraction of this ‘bubble universe’ theory for many cosmologists is that it doesn’t need any further explanation for why the constants of nature/laws of physics are what they are - in effect it is saying that they are not in any way special, just those that happened to fall out of the process which gave rise to the particular ‘bubble’ we occupy. The only ‘special’ thing about this bubble is that the constants were those that allowed intelligent observers to evolve and ask the question in the first place.

This theory doesn’t require there to be no spacetime outside our particular bubble.

10 Nov, '05 10:42 AM

34. Adrian

Yes, that’s all true, and I’m not disputing that there was a period of hyperexpansion, or even that there may be other bubbles.

However what’s outside our bubble would not be spacetime as we have in our bubble, and there would be no way to cross into a different bubble or out of our bubble. Well not outside good story lines for science fiction.

Which brings us neatly back to Black Swans…

The scientific theories that you are talking about, from Newton’s law of universal gravitation to Einstein’s general relativity, presupposes that a sequence of events that have occurred will continue to occur in the future. This is inductive reasoning.

To simplify, observation and experience may tell us that all swans are white. This universal statement will hold true as long as all swans we observe are white. However, the single occurrence of a black swan will falsify this statement.

Similarly, the statement that “nothing can travel faster than the speed of light” would be falsified if or when something is discovered that does travel faster than the speed of light.

You are making an assertion that the science you have learned indicates that the laws of physics apply universally in our universe. This is your white swan. The black swan would be the discovery of something that exists in our universe that obeys a different set of physical laws.

(As you said, trying to explain complexities in simple terms is hard to do and this is a primary school breakdown of the philosophies of Karl Popper)

10 Nov, '05 11:06 AM

36. Adrian

Except the difference being that there was no proof that black swans could never exist. Where with science there is a lot more proof.

A lot of science is more than just inductive reasoning based on observations. I am however trying to use inductive reasoning to explain my points, as it’s pretty hard to put pages and pages of advanced maths and physics into a blog post.

I think science had done really well to advance itself to a point where it is no longer based on inductive reasoning. Please don’t confuse my attempts to explain things, with the real science I am trying to explain, which doesn’t so much say “black swans don’t exist because we never have seen them” but “if black swans cannot exist in the same universe as white swans because the universe cannot exist in a form with both black and white swans and here is the proof”

Incidentally, how does travelling faster than light break causality? If I leave point A at time t and arrive at point B at time t+1 then I am not arriving at my destination before I left. If I am travelling faster than the speed of light, then the light that also left point A at time t will arrive at time t+3.

An observer on point B would at, time t+2, be able to see me both at point A and at point B because the light from point A has not yet reached point B even though I have.

So it would appear that I am at point B before I left point A, even though I haven’t. I am physically only in once place, and that place is in Point B.

If you want to ask how I travelled at the speed of light then I’m going to refer you to a study done in 1994 in a Californian institute which suggested that the idea of a “Warp bubble” a la Star Trek, would be how FTL travel was achieved as it would be used to negate the mass of the object it encompassed. Or something. Didn’t personally have the internet back in those days.

10 Nov, '05 11:15 AM

38. Adrian

I’m going to go into the causality issue soon, when I can sit down and actually put it into words, but it all falls apart for an observer in a moving frame of reference. The reason I have not explained it yet is “it’s really fucking complicated”

re: warp drives

A warp drive would be a mechanism for warping space-time in such a way that an object could move faster than light. Miguel Alcubierre made himself famous by working out a space-time geometry which describes such a warp drive. The warp in space-time makes it possible for an object to go FTL while remaining on a time-like curve. The main catch is the same one that may stop us making large wormholes. To make it you would need exotic matter with negative energy density. Even if such exotic matter can exist it is not clear how it could be deployed to make the warp drive work. [via]
.

Also I have read that even if you could make a warp bubble, it’s not seen how you would be able to enter or exit the bubble. And then their is the whole casualty issue again as well.

No, Adrian, there is no spoon proof. It’s all theory. There is a lot of empirical evidence to indicate the theories that have been put forward are correct and so far, predictions made by theories - such as that about black holes - indicate that the formulae used are correct. These laws are the white swans. A single observation that does not fit in with these theories is your black swan. The predictions that these theories might indicate that the black swan is unlikely to exist, but they cannot prove that it does not exist.

10 Nov, '05 11:48 AM

40. Adrian

No I disagree. Some if it is proof. It’s the boundries that we cna question. Light travels at 300000 km/s. It does.

Saying “it travels at that speed till maybe one day we observe it travelling differently” is not a counter argument or counter proof. Otherwise we have no science, and I can say “your white swan is actually black because it’s only a theory you have that it’s really white in the first place”.

The universe must have fundamental laws that govern it. And we have discovered some of those fundamental laws. To dispute ever discover we have made on the basis of “it’s only just a theory” I object to. It defeats the entire purpose and rigour of good science. Because your argument is you can prove nothing. Which if that were the case I would say “why bother”.

Every argument can be defeated with “you’re all a construct of my imagination anyway and nothing actually exists”.

(And seriously if I was going to construct the universe in my imagination, there would be a lot more of me and Natalie Portman getting jiggy (with it))

10 Nov, '05 11:58 AM

41. Lori

So, the fi in sci-fi stands for fiction then? ;)

I dunno why I’m commenting here. This is all way over my head. Can’t we talk about cars and women? Yikes, I sound like a Nuts/Zoo reader. I should get out more.

10 Nov, '05 12:12 PM

42. Fer

No Adrian, this is the whole point.

Science’s utility is not that it provides proof. Its utility is that it is the only method of reasoning we have found which WORKS.

As in we have been able to deduce certain things from observation and as a result we have been able to develop theories to predict future behaviour which have been accurate. Based on this we have been able to build a technology which is why our scientifically based society has televisions and aeroplanes.

However the whole basis on which the edifice of science rests is FALSIFICATION.

Science can never, and never even tries, to PROVE a theory to be true. What it does do is to prove theories are false. Those theories which remain after the most rigorous of experiments are those which we can believe to be true. However, a true scientist would never say that a theory has been PROVED to be true - there is always another experiment which we can carry out which might, just, provide a different outcome (even if we’ve already done the experiment 10 million times it COULD come out differently next time).

When you say that “The universe must have fundamental laws that govern it.” then this is an assumption which might or might not be true.

A more accurate statement would be “the overwhelming majority of experimental evidence indicates that the universe has, so far, appeared to behave as if it is governed by fundamental laws, and we work on the assumption that it does, while admitting that there is always the possibility that it is entirely capricious and unpredictable”. (That possibility might appear to us to be highly improbable, but that doesn’t make it disappear entirely)

“Why bother?” - because it suits us to, and it’s almost always worked before (unlike praying, say).

Please note that your comment : “if black swans cannot exist in the same universe as white swans because the universe cannot exist in a form with both black and white swans and here is the proof”

is based on an assumption that the model of the universe which you have is correct.

Even something which you can prove mathematically to be true, doesn’t necessarily apply to the universe - there is no guarantee that the universe behaves in a way which is consistent with ANY mathematics (although I’d be happy to bet that it is).

10 Nov, '05 12:51 PM

43. Adrian

“Oh that was easy” says Man, and for an encore goes on to prove that black is white and gets himself killed on the next zebra crossing. - Douglas Adams HHGTTG
10 Nov, '05 1:14 PM

44. Destructor

Boo-yah! pwn3d.

10 Nov, '05 1:17 PM

45. QE

I agree with Fer and the Stalker here.

There may well be a system of laws that governs the universe, but the universe isn’t letting us know them. Our only interaction with those laws is through observation of their effects.

Your quest for proof, on the other hand, is resorting to logical deduction and inference. You cannot make logical deductions about anything except logical entities, by the nature of the rules used, and logical entities are always abstract. (The key feature is that you can know everything about a logical entity [usually because you defined it to be so], whereas you can’t justify claiming that you know all about a real-world one)

What is needed is a link between abstract entities and concrete ones, and that’s where the philosophy comes in. In effect, you assume your model is right because you haven’t yet seen it go wrong. Although the argument itself is irrelevant here (and everywhere else, I’m inclined to think), the main point acknowledged by both inductivists and Popperians (and other more obscure persuasions) is that the model can never be proved right, and that the good scientist should always have in the back of his mind that he might later need to fix it or throw it out because a new observation doesn’t fit it.

You say that the value of c has been proven. That’s fair enough; there have been occasions at which man has known the speed of light, under the conditions measured. What if c were a function of time? Knowing the value of something on particular occasions (and I mean not only the times, but all other environmental and experimental variables) doesn’t tell you a great deal about its nature, such as why it evaluates to that and whether it will continue to do so under all conditions. You’ll say it’s incredibly unlikely, and I would agree, but under no circumstances can we - as observers - claim that we’ve proved it can’t be.

I like the idea of these other bubbles. I like the idea of having gateways: devices that know the protocols on both sides so that things can be put onto the right metric/subnet/ values-of-fundamental-constants/etc as they pass from one to the other. I don’t know enough about the ideas involved to comment on how reasonable a thought that is, besides that which is implied by my argument above.

10 Nov, '05 1:43 PM

46. Adrian

Noting we have left physics behind and debated into philosophy way back, and this should probably be it’s own post as well.

I cannot subscribe to a model of the universe where science is a belief and no a fundamental. I call that religion.

Either the universe has fundamental laws that govern it or it doesn’t. If it doesn’t then the debate is mute. Although I would like to see you then explain why a heck of a lot of our science makes sense though.

If the universe does have fundamentals then it stands to reasons that it’s possible to understand some of them. And it stands to reason that we may have understood them. That doesn’t mean we have understood them all, and doesn’t mean that we can’t improve them or realise they only apply to certain planes of reference. But it also doesn’t mean it’s wrong.

If the universe does have fundamentals then after some fashion it must be self consistent. So the proof is in the structure. You find enough bits of the structure you can start to build up the architectural diagram. If fundamentals of the universe start to prove themselves as the are self consistent. A bit like an cross word. As you fill up the cross word you either find earlier answers were wrong and need correction, or they start to prove that latter answers are too correct.

Your logic is well out of whack:

I can say “your white swan is actually black because it’s only a theory you have that it’s really white in the first place”
Then we get into the nature of Empiricism which is not what I’m saying.

The Universe must have fundamental laws that govern it
Must it? Why? This seems to be quite a big assumption.

your argument is you can prove nothing
No, no it’s not. Falsification is about empirical observation. Every swan I have ever seen is white therefore all swans are white is immediately made a false statement when I observe a swan that is black. The new observation is that some swans are white, some are black. (If I am in a position to catalogue every swan in existence, I may be able to refine this to say most swans are white but a small number are black). Similarly; every time I have carried out an experiment to measure the speed of light, it has been shown to be the same speed. This is fine. I have no objections to this. But to say that this means it will always be the same speed in the future is an inductive argument. It can be falsified should light ever be observed to go at a different speed. (And you might want to review the theories behind the Variable Speed of Light)

Every argument can be defeated with “you’re all a construct of my imagination anyway and nothing actually exists”.
Cogito ergo sum, Adrian, cogito ergo sum. You may all be a figment of my imagination but the very fact that I can think that and undersand the concept of I means that I, at the very least, exist. I’m just not sure about you.

Boo-yah! pwn3d
Boom! Headshot!

A bit like an cross word. As you fill up the cross word you either find earlier answers were wrong and need correction, or they start to prove that latter answers are too correct.
Poor example. You might have a four letter space and have the first letter as an H and the last letter as an E. The options HATE, HAVE, HARE, HIDE, HOPE will all fit. Granted that in a crossword, you have a clue to tell you which one of those answers is likely to fit but if the clue can be interpreted in different ways - or if there is no clue - then there’s no way you can know which is the right one.

10 Nov, '05 2:37 PM

49. Adrian

Excellent example, because assuming the cross word is self consistent, if I tried to help by saying “maybe one day you’ll find the word eskimo is the solution” you’ll stop asking me for help with the cross word.

And the universe is full of clues.

10 Nov, '05 2:38 PM

50. Fred

Physics usually leads to philosophy at some point. As science progress we keep pushing this point forward but at the end we just don’t know and the question becomes who are we to understand, are we even meant/capable to understand. Cutting butter with a knife of butter.

What is religion if not a way for people to accept what they don’t understand? Science provides that same comfort, albeit based on reason and empirical proofs, and has some great practical applications that makes life easier. However, how do we as scientist manage beyond the point where we just don’t know? Ideally there is a Theory of Everything, find it, prove it and your done. Last man out turn off the lights. However, until then I guess we’re as much in the dark as anyone else and can only have faith in that our cross-word is correct. -Crap, was that a black swan…naah?

10 Nov, '05 2:59 PM

51. QE

I’m not claiming that the universe doesn’t have fundamental laws. I do however dispute the claim that humans can understand them; because humans can only deduce the laws by observation of their effects, the best we could have is an understanding of a system that we have devised in our belief that it is analogous to the true laws.

Science - and I mean real, concrete science that deals with real things - differs in approach to a religion. Human science is not an absolute though, and it would make little or no progress if everyone believed it to be so.

While progress may possibly be made extrapolating the structure of our science beyond that which we have verified by observation, to do so always carries the risk that we have diverged from the fundamental laws. Beyond that which our observables cover, we have only as much reason to believe in the science as we have faith in its veracity. Yes, I’m talking about theoretical physics. I’m a big fan of Occam’s Razor; if you show me a theory that fits all observables while requiring only a reasonable number of new particles/dimensions/unicorns or other assumptions, then I’ll happily sit back and wait for more observations, to see if it fits. If the model doesn’t allow time travel because that would have required additional particles, an extra dimension and an albino dragon, have we proved that time travel isn’t possible?Of course not, it just makes it very unlikely.

In your crossword analogy, the fundamentals of the universe are a puzzle in which we can only see the middle of the grid. We have the clues for the words in the middle, and we can work out what the next words out are likely to be. We can then guess the next, since they will fit into the ones that we have already estimated. In doing so we assume that our previous deductions are correct, and there’s nothing wrong with that provided we always remain ready to go back and revise them should we gain more clues. And just because we can sometimes find new clues and confirm the words we already guessed, doesn’t mean that the next clue we find isn’t going to point out that in a particular direction the crossword is actually a cross-number, or even a wordsearch.

I’m not arguing against most of the things you believe (in fact I agree with most of them). I’m arguing against the claim that you know them and that humans have proved them.

I do want to hear your take on causality as proof against FTL though :-)

10 Nov, '05 3:29 PM

52. Adrian

OK, but do you no think that if their are fundamental laws, that it’s entirely possible we have discovered at least some of them. Even if some of them may still require some refinement and some may be wrong, I do think some are right.

I have no issues with requiring additional particles, an extra dimension and an albino dragon to explain something. I have problems with a breakdown of self consistency. Also remember science (and scientists) often say “the only way this would be possible is if you had ______”, not that it is actually possible. For example, time travel would be possible if you could exceed the speed of light. This is not the same as saying “time travel is possible”.

I’m not saying we have proved everything. I’m saying we have proved somethings.

As a trivial aside, according to the Animatrix, the name of the boy with the spoon in the original film was Micheal Karl Popper.

That’s the whole point though Adrian. Any fundamental law we have deduced through the observation of our universe is through inductivism. The only way you can prove anything 100% is to examine every single occurrence. That’s the principle behind falsification.

In the meantime, we are working under assumptions. There’s nothing wrong with this as long as we acknowledge that we are working under an assumption.

Actually, to be fair, you did cover this in your original post.

I’m going to need you to accept two axioms: 1) that the speed of light is contstant… 2) E=mc^2

Given these assumptions, your conclusion is correct. But they are assumptions, albeit based on good solid inductivism. And to date, we have found nothing that falsifies these assumptions (depending on how you view the theories concerning the VSL).

10 Nov, '05 3:53 PM

55. Adrian

I have theories on VPL.

30 Nov, '05 6:23 PM

56. Stuart

I haven’t read all of the comments in depth (what a time to come into the argument) but I’d like to refer to something Sevitz’z Stalker said way back in Comment 37 about the causality issue.

Here’s your ship sitting in orbit around the earth. Rather than go to the troublesome effort of staying in observable spacetime and accelerating as hard as possible, let’s say we, by hypothetical means, step outside of observable spacetime and step instantly back elsewhere…let’s say a multi-storey car park on Pluto.

The light which bounced off your ship the instant before you stepped outside observable spacetime reaches Pluto five hours and 22 minutes later.

If time is a fundamental, no time travel will have taken place. Everything is relative. When the light arrives, assuming me and my rather zippy little ship are still there (who’d stick around?) and folks on Pluto have great eyesight caused by straining in the gloom the whole time, they’d be able to see my ship in two places at once. But it isn’t in two places at once.

Time travels forward at all, uh, times. Mine, the Plutonians, the ship’s cat’s time. Perception caused by the lag in information relay through reflected light is corrupted. Causality isn’t.

Isn’t saying photons have zero rest mass a bit of a cheat? Zero mass accelerated to infinite speed is still zero mass, so how come they have observable mass at c?

30 Nov, '05 6:29 PM

57. Stuart

I get the impression from the webcam picture that I’ve introduced an element of despair into Adrian’s life.

01 Dec, '05 12:27 AM

58. Adrian

Not despair. I was working on the follow up post to this, where I explain the whole issue with jumping simulatanously through space. However it’s really complex and I may not be smart enough to do so. We’ll see how good a job I’ve done when the comments start coming.

The problem with your example about Pluto’s car park, is that you haven’t taken into account what happens for an observer in a different plane of reference. If that plane of reference is moving fast compared to yours, our observer in the other plane of reference can blow your space ship up at it’s point of departure, after you have arrived at Pluto. Try do that without time travel.

Also, the time it will take you to park a space ship in a multistory car park is directly proportional to your ability to time travel. Multistory car parks require you to warp time to be able to park. They just make those bays too small. Unless your space ship is a Fiat, you are not going to be able to park it.

01 Dec, '05 12:30 AM

59. Adrian

Also can we please all keep comments now on causality in the new post specifically done to try answer this question, as I promised.

Leave my grandfather alone

Let’s keep this post just for discussions about trying to accelerate up to and beyond the speed of light.

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