Causality, at least in so far as it relates to going faster than the speed of light, means that the cause of an event has to happen before it's effect. You have a sore head (effect) because I hit you (cause) or you read the debate earlier on in the month.
Now if you break causality, you are pretty much allowing for time travel. If the effect can happen before it's cause, then you have to be able to shift around in time to do it. Either this means time travel is possible, or it means causality can't be broken. The effect (arrival) happens prior to the cause (departure) for other observers (i.e. not you). This creates a whole heap of paradoxes.
The classic one being the "kill your grandfather paradox." So you invent a time machine and go back in time. Kill your granddad (who falls under the category of "other observers") either be accident or design. The problem then occurs that if your grandfather was killed before he met your grandmother, then your dad/mom wouldn't have been born and neither would you have. So how would you have been able build the time machine that allows you to go back in time and kill yourself? Watch Back to the Future for further understanding, and to see the only practical use of a DeLorean.
could be broken and time travel was possible how to get around these paradoxes. However this isn't saying "time travel is possible" but more "If time travel was possible, this are ways the paradoxes could potentially be avoided." Alternative universes is one example of this where you kill your grandpapa in some other universe and some other version of you never gets born. Again this is just thought experiments of how these things could work, but not actually fact.
So what's this all got to do with the speed of light. Or more particularly what's this got to do with going faster than the speed of light by jumping through wormholes, warping space or any other way of moving to a different special point, faster than the light that takes it to get there.
You see by jumping to a different point in the universe you are jumping
outside your light cone.
. If you consider that light has a fixed speed and same for all observers, then the borders of the cone represents the points where you can still effect things (if you travel very fast). Outside those borders to effect things, you need to travel faster than the speed of light or jump in space.
Now here comes the tricky bit. By jumping in space, you are turning the cone on it's side. In essence the special direction becomes the temporal direction and visa versa. So you now move along the new direction. If you can jump in space once you can jump again and you could shift the axis of your light cone again. By linking together these light cones, you could create a Closed timelike curve.
Put another way, your worldline traces itself back onto itself. A worldline is the line representing your path through space and time. Causality breaks down because an event can then be simulatanous with it's cause. In some cases and event could cause itself. Clearly this is a problem.
I'll try give a 'practical' example of how by jumping through a wormhole, would cause a problem.
Imagine two people on a train. They are sitting at opposite ends of the train, with a light bulb in between them in the middle of the train. The chairs they are sitting on have bombs under them. (It's tough being a random in a thought experiment. Cats die. Your seat has bombs under it. You never get the cake). A man stands on the platform with a trigger on him for the bombs. When the light from the bulb in the middle of the train reaches the guys at the opposite end of the trains, they know that their seats are going to get blown up, and they get off them.
As the middle of the train passes the platform the light is switched on. The man on the platform sees this fairly immediately as he right by the light when it passes him.

The man now watches the guy at the back of the train. When the light reaches him, the man at the back of the train gets off the seat and the man on the platform hits his trigger. The chairs blow up. However fortunately because our blokes on the train are off their seats they are safe from harms way.

Now what if the train was going really really fast. Say 1 billion kilometres an hour (or roughly 93% of the speed of light). What would happen then? Well from the point of view of the observer on the platform (i.e. our man with the trigger), the light reaches the guy at the back of the train first. The light takes about 20 times longer to reach the guy at the front of the train.

The reason for this, is that the train is moving forward. So the light has a shorter distance to travel to the back of the train than the front. Now at normal speeds, this extra distance is so small, it's only has significance mathematically. However when the train is moving really fast, it becomes significant.
Now what happens when the guy on the platform presses his trigger. Well the signal he sends to the bomb under the chairs can only go as fast as the speed of light, so by the time the bomb goes off at the front of the train, the guy would have seen the light from the bulb at the middle of the train and got off his seat.
Right, that's all how it's observed from the guy on the platform. However for the guys on the train, both scenarios 2a and 2b are the same. The sit in their chairs, they see the light, the get off their chairs, their chairs blow up. This is because the speed of light is constant for all observers.
What isn't constant is events that occur simultaneously for all observers. So for the guys on the train the light reaches them at the same time, and they get off their chairs at the simultaneously. However for the observer on the platform, our trigger man, this isn't so. The guy at the back of the train gets off his seat before the guy at the front of the train.
So if two groups are in relative motion to each other, events that are simultaneous to one group of observers (or in one frame of reference) are not simultaneous in to another observer (or in another frame of reference)
It's a bit of a mind bend, but it's true. And if it's not true, go argue with Einstein because you have just thrown general relativity out the window, and most people smarter than you agree that general relatively is on the money.
If we recall the light cone from earlier. All these events still are in the same light cone. Things that occur in different points in space, can only do so bounded by the edge of the cone, or the speed of light.
Now what happens if the trigger man on the platform has a little handy wormhole? So that he can send a signal through faster than the speed of light and trigger the bomb at the far end of the train at the same time he triggers it as the back end of the train? Well the chair blows up. But is the guy sitting on it? In the frame of reference on platform he is. However to the guy on the train he isn’t. So to the guy on the train, someone has gone back in time and blown up the chair, and the guy on it. Because in their frame of reference the guy at the front the train has already got off the chair.
What has happened is that information has passed faster than the speed of light. It doesn’t really matter if it's information or an object we drop through our wormhole (we could have dropped a bomb). We have effected an object in space outside our light cone. If two objects in space have an event that acts on them simultaneously, they must be in the same light cone. If two objects in space sit on opposite sides of the light cone boundary, they can only have a simultaneous action if they are not acted on by the same effect. If they are caused by the same effect, for the object outside the light cone, this effect occurs prior to the information of the cause or the action getting to it. If the effect happens prior to knowing it has been acted on, it can as easily occur before the action, or having the effect precede the cause. Hence broken causality and time travel.
So if you can jump a point in space faster than the speed of light, you must be able to time travel. And if you can time travel, you can break casualty and kill your grandfather. So for wormholes or warp drives or any way of jumping across space in a blink of an eye, you have to be able to time travel as well. And time travel creates a whole mess of paradoxes that it hurts just to think about it. Even more so than this.
So can you jump space via a wormhole then?
Well it all depends on how you think about it. From one perspective you can say "well if you can jump faster than the speed of light via a wormhole, then you can time travel too ... cool". My personal perspective is that breaking causality would mess up the universe, and the universe doesn’t like to be messed with. If then causality cannot be broken, it is impossible to exceed the speed of light. Not by jumping through a wormhole, and as I showed previously not by accelerating up to or passed it.
The universe either respects causality or it doesn’t. If it does, and I think it must, then you cannot jump to a point in space faster than you could travel their via relativistic methods. So no FTL travel, and leave my granddad alone.

1. grumpyoldman
I think some one used the illustration of a rhebus loop to explain this.
2. Destructor
The universe either respects causality or it doesn’t. If it does, and I think it must, then you cannot jump to a point in space faster than you could travel their via relativistic methods.
I think this is the rub here. The arguments are all well and good (in fact very well argued, you should be a science writer), but when minds as great as Einstiens refused to discard the possiblity of CTC’s, then I (and you) would be fairly arrogant to do the same, simply because ‘it must be so’. People discarded (and still do, despite endless practical proofs) relativity for the just the same reason: It seems so anti-intuitive to everyday existence that time warps and distorts so dramatically.
But for all the ‘obviousness’ of causality, cause precedes effect is still more a point of philosophical rather than scientific rigour.
I just breathed in Well what caused that? Because I breathed out a second ago Well what caused that? Well my brain sent an unconcious signal to my lungs And what caused that? Well, you see over the course of millions of years of evolution…
and on and on to the start of the universe where there was no identifiable root cause of any kind and, indeed, no concept of time at all. Law of causality broken, therefore not really a law at all. Next theory, please.
I’m not saying you can have an effect without a cause, that is certainly how the universe seems to work and science is, by definition, a useful way of describing how the universe works. But there are practical, identifiable clues that indicate FTL communication could exist, and frankly I don’t think the universe gives one jot or another if your grandfather is killed before he concieves your mother- only human arrogance would assume we’re so important that physics has to bend itself around what we consider to be the natural order of events.
I’m not saying I believe FTL communication to be possible or not. I’m saying that we’ve believed a lot of things that later turned out to be untrue, and if we can get our heads around a universe where you can spend thousands of subjective years getting torn to shreds by a black hole, we can probably also get our heads around a universe in which Battlestar Galactica can make lightspeed jumps and yet still not be able to send a message back to Caprica asking them to prepare for Cylon attack.
3. Fer
Speaking of trains and causes, can anyone explain to me why:
“We apologise for the late running of this service, this was caused by adverse signals”
is regarded by the train companies as an acceptable reason for their poor performance?
4. Adrian
the start of the universe where there was no identifiable root cause of any kind and, indeed, no concept of time at all.
By my understanding, time existed in the start of the universe it just wasn’t necessarily linear.
But there are practical, identifiable clues that indicate FTL communication could exist, and frankly I don’t think the universe gives one jot or another if your grandfather is killed before he conceives your mother- only human arrogance would assume we’re so important that physics has to bend itself around what we consider to be the natural order of events.
But most of these practical, identifiable clues that indicate FTL communication could exist seem to break down, as soon as we try to actually send any information through it. As soon as we actually try to communicate it seems to degrade or fall apart of not work. The universe seems quite intent on keeping causality working.
I’m not suggesting causality is maintained because of human arrogance. I’m suggesting causality is maintained because the universe works that way. Your point only human arrogance would assume we’re so important that physics has to bend itself around what we consider to be the natural order of events could just as mean we are just as arrogant assume we will be able to break causality and travel FTL when the universe seems to indicate this is not going to be allowed. Your point works both ways.
A universe where Battlestar Galactica can make lightspeed jumps and yet still not be able to send a message back to Caprica asking them to prepare for Cylon attack, seems to me to be far more fanciful and wishful thinking than the one we live in.
A bit like an all powerful god who sends wrath upon us, science fiction is the new bible. Nice stories.
5. Adrian
Oh, and thanks for the compliment. Writing this blog was one of the most difficult posts I have made.
Communicating complicated things in a manner that makes sense is intensely difficult. I wasn’t sure if I was up to the task.
I did my best, and was waiting to be ripped into when the comments started coming. Although it’s a really long post and normally that puts people off.
6. Destructor
I have to ask, and I hope it’s not insulting, but did you think up the bomb-under-the-seat thing yourself or were you paraphrasing something you’d read? Because if you did I think that is particularly impressive.
7. Adrian
The train example is used in The Elegant Universe to explain how two event cans be simultaneous in one frame of reference but not another. In The Elegant Universe however the example has each person signing a peace treaty. In the case of the fast moving train war breaks out because the one side signed it before the other from the perspective of those on the platform.
I expanded the example with bombs to try explain causality and time travel. The original example is not mine, but the bombs under the seat thing is.
The original example gave you peace. I give you bombs.
8. Stuart
I am pwned indeed.
Bravo. A piece of brilliance.
9. CornRoller
Traveling through a wormhole would do nothing in my opinion. Traveling through a wormhole is basically teleporting not traveling which i believe is two different topics. See my previous post on the last “the debate earlier on in the month”. Although a strange proposal maybe you would need time to travel back in time and the faster you go and the longer you would stay in a hypothetical craft that went faster than the speed of light the further back into time you would go. So the only way to travel back is an actuall craft not a wormhole and that is impossible. Maybe some1 could come up with a formula for this.
(this is the same thing as the last post mainly and doesnt have as much to do with the current topic but i didnt think i would get opinions on an older post)
[Comment from first post moved here - Adrian]
10. Coop
I have a sore head (effect), ‘cos I read your bloody post (cause).
11. Dad
A thought on how to get from A to B in the universe faster than the speed of light without breaking causality. My appologies to Ian Banks (Excession).Just after the big bang the space newly created in the universe expands faster than the speed of light but everything in the universe still travels at light speed. So the laws are maintained but it explains why the universe is the same from horizon to horizon even though the infomation could not have travelled from one side to the other in the time the universe has been in existance. However if you could theoretically travel in the expanding edge you could go FTL-(which is how I understood Banks book).Once however you leave the universe there is no information of you to travel anywhere so even though you would arrive before light could get there you would not have broken causality because the information was no longer there to upset causality . If therefore a wormhole excluded the universe inside the hole you could pass from place to place via the wormhole FTL but not break causality.As one comment said this would be more akin to teleportation with all information of yourself being absent from the universe during the passage.
12. Sevitz's Stalker
Damn you Sevitz, damn you to a world with no physics! I had been thinking about this yesterday morning while walking the dog and decided I wasn’t going to get into it again.
Something seems wrong about this whole thing and I can’t quite put my finger on it. As Destructor pointed out, some of it seems so anti-intuitive (and I think it’s the concept of spacetime that the theory of general relativity uses that bugs me. I’m sure there are some massive assumptions going on somewhere).
I’ll be back.
13. Fer
Stalker, the thing is that while it seems wrong (because our brains evolved in such a way that we didn’t need to take relativistic effects into account) the fact is that relativity has (so far) succeeded in every test we’ve thrown at it.
A real world example (outside a lab): The atmosphere is being constantly bombarded with high-energy cosmic rays (made of protons). In the upper atmosphere these protons hit molecules of gas, and occasionally these cause unstable sub-atomic particles (muons) to be released.
These particles shoot out at high speeds, significant fractions of the speed of light.
Now as these particles are unstable they decay within a few microseconds (half-life about 1.4 microseconds) - so that by the time they travel the few km from the upper atmosphere to the ground, even at the very high speeds involved, they should have decayed.
However, we do in fact detect these particles at ground level (there will be several going through you at any given time). The reason is that because the particles are at such a high speed, they appear to us as if their time clocks had slowed down to such an extent that they are able to reach the ground before they decay.
Unfortunately if we take all these kinds of examples together we have to accept that all our observations indicate Einstein was right. We aren’t making any assumptions, just inferring from what we observe.
14. Fer
…or perhaps I’ve spoken too soon:
E and mc2: Equality, It Seems, Is Relative
15. Sevitz's Stalker
From that article “Some suggest, for example, the rate of the passage of time could depend on a clock’s orientation in space”.
This is the biggest issue I have - about time slowing down in the upper atmosphere. Perhaps it’s because I subscribe to Leibniz’s view of time, that it is an abstract concept with no “physical” properties. A second is defined as being some ridiculous number (9192631770 to be precise)of “oscillations of specified transition in Cs-133 atom”. Say we decided that it would be far better to make it a round number - like 10000000000 osciallations. Does that mean that time gets slower or simply that our measurements change?
Part of this whole issue is to do with observation. So much of it depends on what is observed and that depends on light.
Let’s look at this another way. I stand at point A holding a brick. There is a pane of glass at point B which just happens to be 1 light-hour away. Because I work out so much, I am able to hurl the brick really, really fast - say 1.5c (1.5 times the speed of light). The brick hits the pane of glass 40 minutes after it left my hand. But because of the speed of light, I see the brick only two thirds of the way there.
Is this breaking causality?
No, it’s not. Time is still going forward. I threw the brick at time t. At time t+0.66, the brick hits the window pane. At time t+1, the light hits the window pane (or whats left of it). However, the brick cannot break the window pane before it leaves my hand because time t is when the velocity 1.5c is applied to it and it starts moving. Even though it is travelling at more than the speed of light, it cannot reach a time t-1.
If we did a Xeno and stopped time at, say, t+0.8, what would we find? A broken window pane and a brick flying through the air towards it? An effect happening before it’s cause? Well, yes. But only because that’s what it looks like. The only way that this could be explained is because the brick that we see is only the light from the brick and not the actual brick itself. It’s an image of the brick, an illusion if you like. But the ‘solidity’ of the brick (which we obviously can’t see because it’s moving faster than the speed of light) is currently at point B, breaking the window pane.
Incidentally: I agree with Cornroller in that I don’t think wormholes are particularly pertinent in a discussion about going faster than light or causality.
16. Adrian
Cornroller, Stalker, the whole point of this post was to explain how if you jump/teleport/wormhole through space to another point in space that means you arrive at the second point faster than it would be possible except by travelling faster than the speed of light, you are travelling faster than the speed of light. The whole point of this post was to explain how this breaks causality.
This has nothing to do with the amount of time it takes the light to get there, but that you are moving outside your light cone. If you are able to move outside your light cone, you are shifting your world line in such a way, that it is possible to set up a whole series of this that allow you to have your world line curve back on itself and effect actions that happened before their causes.
The whole essence of this post was to explain that.
Dad, there would be no way for you to get to this expanding edge as you can only travel at the speed of light, so even if the edge of the universe is expanding faster than the speed of light, you could never get there. I’m not sure if this is actual theory though. I am aware that things were all not as they are now during the fractions of time (and we are talking time frames like 10^-39 of a second) right after the birth of the universe, but I’m not entirely sure they are still this way. I would find this easier to look at if you cited a reference than Iain Banks, who even when he makes stuff up, I’m not sure I understand.
Again with the wormhole or teleportation, the problem is not that information is absent while you are in the wormhole, but that you are jumping outside your light cone, which breaks causality. This was what I was trying to explain in this post. Obviously I didn’t do the best job.
Fer, I think theories will eventually be found that build on Einsteins work. Superstring or M-Theory have some really good work in this area, and have some good theories around quantum gravity and may be the ‘theory-of-everything’. However I don’t necessarily see this as disproving Einstein, just adding to it, the same way Einstein added to or refined Newton. Even the article you cite (not the best written article on this I might add, I have read better) says He added, ”It is natural to think that Einstein’s relativity will in some sense be violated by small corrections, just as Newton’s theory of gravity has small corrections.” These corrections did not make Newton wrong, he said, they just meant his theory was not always perfectly applicable. Likewise, relativity may give way to a more complete and accurate theory.
Stalker, it is important to separate what we define a passing of time as, and the actual passing of time. We could define a second to be anything. Proofs around time dilation don’t use time as a measure of oscillations of a cesium atom, but as a variable. It’s only when these proofs are proved experimentally do we actually measure a passing of time, and we do find that time dilation does occur.
It doesn’t matter how many ticks of a cesium atom we decide to call one second. If we have to sets of cesium atom clocks, or a stop watch, a radioactive half life, or even your natural biology, these clocks will tick differently relative to each other if one of those clocks is travelling at relativistic significant speeds (i.e. fucking fast). It may be hard to wrap your head around but it’s pretty much generally accepted and has been confirmed experimentally by now.
With your brick and the window, the issue again is not the light being reflected back and your observation of what’s happening.
Let’s replace the window with someone. So it’s not about the light reflecting back. This brick hits them 40 minutes after you throw it. Even though you only see this happen 60 minutes after you throw it because of the light catching up. So the person who gets hit would agree that 40 minutes after the brick is thrown they get hit.
However for someone in a fast frame of reference the brick would still be in motion after 40 minutes. This is not an observation for them, but reality. If they were to scoop/blow the brick up, the brick would no longer hit the person. i.e. the brick would disappear in flight AFTER it has hit the person in the static frame of reference. So the person gets hit by a brick that is no longer their because someone has gone back in time and blown it up.
In other words causality has gone kablooie.
17. Dad
Actually you did a pretty good job of explaining.
18. Sevitz's Stalker
If we have to sets of cesium atom clocks, or a stop watch, a radioactive half life, or even your natural biology, these clocks will tick differently relative to each other if one of those clocks is travelling at relativistic significant speeds (i.e. fucking fast).
I get that this has been shown to happen and has been demonstrated repeatedly. However, to me it does not demonstrate that time is affected by travelling at fucking fast speeds - only that the clocks are.
And I have to say again that while I understand your explanation about how travelling faster than the speed of light could potentially affect causality (and yes, I do get the model of the light cone), you can’t lump wormholes into this as they don’t affect the light cone at all and wouldn’t necessarily affect causality. A wormhole isn’t about travelling from A to B faster than the speed of light, it’s about taking a shortcut.
19. Adrian
However, to me it does not demonstrate that time is affected by travelling at fucking fast speeds - only that the clocks are.
If you are travelling a FFS (fucking fast speeds) and you leave earth and come back 10 years later, and everyone else has aged by 100 years (or whatever the mathematically accurate number is), how is that not time being affected?
The time lapse between two events is not invariant from one observer to another, but is dependent on the relative speeds of the observers’ reference frames.
Note: it’s time, not clocks. Clocks is just how we measure time, but it’s time itself that is affected. Which is why it has an effect on biology and radioactive half lives as much as a clock itself, and why I gave these examples.
Wormholes are about travelling from A to B faster than the speed of light. The fact it’s via a short cut is not relevant. The point is you are jumping from a point inside the light cone to a point outside the light cone. If you can jump through a wormhole physically, you can transmit information. If you can transmit information effectively instantaneously, you are transmitting information faster than the speed of light between points inside the light cone and outside the light cone.
It doesn’t matter if you do it via a shortcut (wormholes) or via actually travelling at speeds greater than c. Either way information is moved between two spacial points faster than the speed of light, and that allows you to break causality.
20. Sevitz's Stalker
The first time I read about the Twin Paradox when I was about 7 years old, it messed with my head and it has done ever since. I even have “A Brief History of Time” next to a book called “What is time?” on my shelves. If it wasn’t the fact that I hated my physics teachers at school, maybe I would have gone down that path rather than the philosophy path. For example, the twin paradox is a thought experiment that has found substantive “proof” in an experiment with two atomic clocks, one on ground, one on a plane. After the experiment, the one on the plane was slower. Now this is fine but this is where I say “it doesn’t show that time has been affected, only clocks.” I’m afraid I can’t really come back on this.
I will come back on wormholes though. The whole concept of wormholes means that you take the the shortest distance between two points and make it shorter. Take a piece of A4 paper and draw a line down the length. Mark the ends A and B respectively. This is your origin and destination. The quickest distance between them is a straight line. But if you fold the paper, in half widthways, A and B suddenly become much closer. You can send information from A to B at normal speeds without breaking causality but far quicker than if you followed the straight line you originally drew.
That’s the theory behind wormholes. Granted, if you change the properties of a wormhole so that it became a timehole, you could theoretically travel back in time and affect causality.
21. Adrian
OK the clocks thing is just experimentally showing that time does slow down. If the clocks which measure time, tick at different rates, then how is this anything but showing that time has slowed down. There are other proofs, both theoretical (which have stood up) and cosmological (such as Fer’s Muons). Whilst I appreciate this might be really hard to wrap your head around, this is one of the basic tenants of relativity and you would find it pretty hard to dispute without some other better theory to back it up with.
Now with wormholes, you are quite correct, for your frame of reference this is absolutely true. As far as you are conceded, you have moved in a normal relativistic time like fashion. However for someone in a fast frame of reference, this is not the case. And that’s where it all falls down. It’s all fine as long as you only consider your frame of reference. But the reality is you can’t. You cannot dismiss observers in other frames of references.
The problem with this stuff, is I’m not smart enough to show how you can cause closed timelike curves by jumping through worm holes. However this is the case. I just don’t know how to explain it any better than I have.
In special relativity a particle moving FTL in one frame of reference will be travelling back in time in another. FTL travel or communication should therefore also mean the possibility of travelling back in time or sending messages into the past. If such time travel is possible you would be able to go back in time and change the course of history by killing your own grandfather.
Even if your communication is via a worm hole, from my frame of reference which isn’t in the worm hole, the communications is FTL, which means your wormhole travel lets you go back in time and affect my past.
Put another way
The possibility of time travel in GR has been known at least since 1949 (by Kurt Godel). The GR spacetime found by Godel has what are now called “closed timelike curves” (CTCs). A CTC is a worldline that a particle or a person can follow which ends at the same spacetime point (the same position and time) as it started. A solution to GR which contains CTCs cannot have a spacelike embedding - space must have “holes” (as in donut holes, not holes punched in a sheet of paper). A would-be time traveller must go around or through the holes in a clever way.
So to time travel you need wormholes. Timetravel and faster than light travel are essentially the same thing. If you can do one, you can do the other.
22. Damo
That post is a tour de force. Congratulations.
23. Sevitz's Stalker
24. Adrian
Stalker, the issue is not one with equipment however. The issue is not even one that is an experimental issue, it’s just that experimentation has verified the theory.
However if they took your cooker, 2 wrist watches (1 analog, 1 digital), a atomic clock and a candle clock, all of these clocks would slow down by the same rate. The only way this could occur is if time slows down, else how could all these different devices record the same response?
25. Fer
What might help to resolve the confusion (or alternatively make people more confused) is to remember that not only does time change with relativistic effects, but distance changes also - which helps to resolve a lot of the apparent paradoxes.
For example, suppose a spaceship is heading from our solar system to the nearest star, 4 light years away, and it is travellling at 0.8c so the journey as far as we on Earth are concerned takes 5 years.
Suppose the relativistic adjustment for the difference in these rest frames is 50% (the numbers probably need tweaking a bit but the principal is the same).
We on Earth look at the spaceship and from our point of view the spaceship looks to be half the length it was when it was stationary. We watch the spaceship and see it arrives at its destination 5 years later than it left. However if we look at a clock on board the spaceship (we have a very good telescope and it’s got big numbers on it) the clock has only ticked a time lapse for the journey of 2.5 years. Also the astronaut on board has aged 2 1/2 years.
This might look like a paradox but consider, what does the astronaut see?
From his point of view the distance between the Earth and the star is shortened, so it’s not 4 light years but 2. That’s why at 0.8c it takes him only 2 1/2 years of his own time to get there.
26. Fer
Note in this - when I say we see the spaceship arrive 5 years later, of course that’s after we allow for the time taken for the light to reach us - so in fact we don’t actually get the pictures of the spaceship reaching the star until year 9 - the spaceship takes 5 years to arrive, plus 4 years for the signal to get back to us.
(And the spaceship will look red to us during the journey due to the doppler shift)
27. Fer
Of course, this time dilation effect could be of use to science fiction authors/futurologists as it means that the finite speed of light isn’t necessarily that much of a limit to human exploration beyond the solar system.
For example if we could invent a way of propelling a spaceship near to the speed of light (while stopping the passengers from being squashed by the acceleration), then as far as the passengers are concerned the journey doesn’t feel as if it had taken nearly as long as it actually has taken. This would allow intergalactic exploration without wormholes, faster than light travel, hibernation or multi-generational colony ships.
The problem for science fiction authors is that it stops the intergalactic politics they like to imagine (difficult to run a galactic empire when in your subjective time it takes 100,000 years to even send a signal to the edge of the galaxy and back, let alone an army).
The problem for spaceship designers is that the closer you get to the speed of light, the more the mass of the spaceship increases and therefore the more energy you need to accelerate further (with infinite energy required to actually reach c).
As such I’ve not seen many examples of this in science fiction - the notable exception being the original Planet of the Apes (I haven’t seen the remake so don’t know if it also applies to that film too).
28. Adrian
Thanks for that Fer. I thought basic relativity was pretty well understood, but I guess that’s a poor assumption just because I have an interest in it. It might be worth while me doing a science post trying to explain this at some time in the future. If people would be interested.
C. J. Cherryh’s Chanur books take into account time dilation with high speed interspacial travel. It’s not perfect, but it is one of the few times I have seen sci/fi actually try account for this.
Normally sci/fi authors ignore it, as it just complicates things and distracts from the story. Also I reckon most of the planet doesn’t even know what relativity is, and wouldn’t understand it.
29. Sevitz's Stalker
I just wanted to say that thanks for this post Adrian. Although I’m still not convinced about the whole time thing, I now think I understand why. What I never really got my head around before was about the whole “frame of reference” and how it’s all to do with, essentially, observers points of view. More than that, what I had not fully appreciated before was that that one of the postulates of relativity is that there is no absolute frame of reference.
30. Adrian
Stalker, I’m available for private ‘lessons’. In a local pub. You’re buying.
And don’t feel bad that you struggled to get your head around it. I mean it took someone with the intellect of Einstein to come up with it.
But you have the key now, it’s all to do with who is observing what and from where.
31. Destructor
Alright quit with the fancy thought experiments that could never actually take place and just answer me a simple question:
The Battlestar Galactica makes an FTL jump away from Caprica and leaps 30LY away from it. A few weeks later, Starbuck steals a Cylon raider and makes an FTL back to Caprica.
What, according to relativity, would Starbuck have found apon her return?
d
32. Adrian
I always find Starbuck(s) is good for a tall skinny cappuccino and a minced pie. So she might find that.
Although if the BSG was moving really fast, Starbuck could find herself back at Caprica.
33. Destructor
So basically, you don’t know.
34. QE
Hmm… I’ve been away for too long.
CornRoller, Adrian has stopped talking to you, and I suspect it’s because you state ‘fact’ that contradicts the argued points without any justification, despite the huge efforts that he and various other people are making to justify everything they say.
Moving on, I’m not going to say anything new and ground-breaking here, but I am going to repeat some points in different terms. It helps me work them out, and it may help some others who aren’t yet convinced.
There is no universal frame of reference. (Going to use that term a lot, so I’ll shorten it to FoR). Even without getting close to c, you can appreciate this effect with sound-based Doppler effects, if you consider that the ambulance sounds different to you once it has passed you than it does to the guy 100m up the road; same time, but different observers get different measurements of something that we might otherwise consider constant (in this case the pitch of a sound).
Time as humans know it is defined solely by their experience of it, such as by clocks and certain chemical/atomic decay events. After everything I said last time we were debating this, I’d like to take that as a given. To claim that humans have a better grasp of time than by measurement and experience would be a little odd, to say the least.
The claim that FTL (specifically the ability to leave your light cone) circumvents causality is true for some frames of reference (and I’m with Adrian in saying that causality void in one FoR enough to consider it void in general). Let’s return to the Stalker’s example: in throwing a brick at 1.5c he throws it out of his light cone. He throws it, sees it travel, sees it hit the target; no problem there. An observer placed at the point of impact sees it hit, then sees the Stalker throw it. Causality violated. (I think I’m right in saying he doesn’t see it approach).
I don’t want to speculate on the effects of violating causality. Perhaps you might get away with it. Perhaps you might disappear in a puff of logic. Hopefully there’s some built-in mechanism that will stop it ever happening; certainly the current combination of theories seems to do just that. I don’t take ‘FTL ~ Time Travel’ as proof that FTL isn’t possible, and I will still moan at Adrian whenever he asserts fact about things that actually are based on perception and hence cannot be logically proved, but it’s been a very enlightening debate, and I thank everyone involved.
See you all in the next thread, for more trying to catch up, and maybe more necroposting ;-)
35. Destructor
If there’s no universal frame of reference for time, why do we assume that there’s a universal frame of reference for reality? Why CAN’T the brick break the window for one person and not break the window for the other person? Other than the fact that we think it shouldn’t, I mean.
36. Fer
You’re nearly there, QE, although not quite.
Your example of the brick being thrown assumes there is a contradiction in the fact that you see the brick hit the target before you see it being thrown. This is not, however, a contradiction in itself. To understand that this is not a contradiction consider a supersonic missile.
If you are standing near the target of such a missile (and far away from the launch site) you will hear the explosion first, then subsequently (assuming you survive!) you will hear the missile being launched. In between you will hear the sound of the missile’s flight (and the sonic boom), but in effect you will hear it backwards. This will seem odd as we are not used to hearing noises backwards but isn’t a contradiction to causality.
In the same way, if we postulate a universe with a finite speed of light but following Newtonian rules (which is not in itself contradictory - it is just that we don’t happen to live in such a universe) then a faster than light missile (which would be permitted in such a universe) would indeed appear to fly backwards if you looked at it.
Your understanding appears to be that the perception of events differs according to your point of view, not the actual order of the events.
The point Adrian and I are making is that in consequence of (1) the fact that in our universe the speed of light is the same for all observers (a measured fact), and (2) the principle of relativity, i.e. the laws of physics are the same for all observers (also a measure fact) then we must conclude that (3) there is no possibility of transmitting information faster than light.
It’s difficult to prove this without using mathematics but I’ll try (Adrian, if you’re up to doing some diagrams for this and not bored of this thread that would be great):
Consider two ‘events’ A and B. An ‘event’ is a point in spacetime - something which happens in a particular place at a particular time.
Suppose firstly that A is not in B’s lightcone (and vice-versa, which is true by definition).
Then according to relativity there is SOME frame of reference (i.e. a constant velocity which someone could travel which is slower than light) (call it FoR1) in which A occurs before B (i.e. the observer (Ob1) in FoR1 would say that A occurs at a time before B AFTER THAT OBSERVER TAKES INTO ACCOUNT THE TIME IT TOOK FOR THE LIGHT TO TRAVEL FROM A AND B TO HIM (This last capitalised part is important).
There is also a different FoR (FoR2) in which an observer (Ob2) would say that B occurs before A, again taking into account the light travel time.
This isn’t the observer’s personal perception - in Ob1’s “world” A really did “happen” before B. In Ob2’s “world” B really did “happen” before A. Both are right.
That means that A can’t have caused B to occur (because Ob2 knows that B happened first) and B can’t have caused A to occur (because Ob1 knows that A happened first). A and B are independent events and cannot influence one another in any way - i.e. no information whatsoever can go between A and B.
(There is also a third FoR in which A and B happen at the same time).
In fact for events outside each other’s light cone it’s not really sensible to say anything about the time they occured with respect to one another, as it depends on the observer.
Now secondly, consider an event C that lies inside A’s future light cone.
Clearly there is a FoR at which C happens after A (for example the FoR of an observer travelling from A to C).
Now if you do the maths you find that there is no FoR* at which C happens before A. This makes sense as C could easily be influenced by A (by sending a light signal from A to C) and A could therfore be a cause of C. If C happened before A for any observer then that observer would say that C can’t have been caused by A.
*This assumes that FoRs (i.e. observers) can only travel at speeds less than light. If you found a way of travelling faster than light (whether moving through space or taking shortcuts via wormholes) then you could find a FoR at which C does happen before A - which is why FTL travel causes a violation of causality.
37. Fer
Destructor, to answer your question, we don’t assume it, we observe it.
If we ever found a window which was broken for one person but fixed for another then we would throw the theory of special relativity out of it (although one of those people might have to open it first).
38. QE
Sorry Fer, I can’t see where it is you and I are disagreeing.
You’ve proved (assuming your assumptions, which I’m happy to do at this stage) that events lying outside one anothers’ light cones cannot be causally related, and also that for a cause-effect pair there exists no FoR for which effect precedes cause.
The Stalker is proposing an effect (brick landing) that is outside the light cone of its cause (brick being thrown), by means of the brick travelling FTL. This gives a situation that violates both relativistic causality and a more intutive layman’s causality, since there exists an FoR for which effect precedes cause.
I didn’t refer to it as a contradiction (a term I would normally reserve for logical impossibilities rather than concrete unlikelihoods), but I do consider it a violation (as stated) of both kinds of causality, and proof of the case that Adrian is arguing.
No disagreement from me ;-)
39. Destructor
Fer,
can you please answer my question about Battlestar Galactica in a direct manner, since Adrian refuses to.
40. Adrian
Actually I did answer it. Starbuck could find things as normal. Or should could find herself. Or she could find the BSG destroyed by the Cylons. Who knows, as we don’t know the relative speeds of her frame of reference, the Cylons frame of reference and the frame of reference the BSG is sitting in.
It’s actually quite hard to construct closed time like loops. This is why I gave the train example. To figure out what would happen with Starbuck you need someone a lot cleverer than me AND more information.
You have given a fictional example. It might not have an answer. If causality cannot be broken, then there may be no answer, as the entire example may be impossible. It may not be a question that has any answers beside musing, which have given.
41. Sevitz's Stalker
I don’t think I said any of this. In fact, you’ve totally misinterpreted what I said. Leaving relativity out of it (because I don’t want to make Adrian sigh any more) my sequence of events does not involve any observer A, B or C being able to see the brick hit the window or the window breaking BEFORE the brick has left the throwers hand. Certainly they may see the window breaking before they see the brick hit it but definitely not before it leaves the throwers hand.
As for the BSG discussion, that’s easy. She found the survivor bloke in the museum but he was only 56 days older than when the cylons invaded. She, however, was 57 days older because of a warp in the Script Continuity bubble which I believe was first identified as a possibility by Einstein but turned into a viable theory by Alan J. Smithee.
42. QE
I’ve not misinterpreted what you said, I’ve just applied some of the assumptions (many of which are well observed, but I will call them assumptions nonetheless) of relativity to it.
With time as a universal constant, then it is true that nobody sees the brick hit the window before the brick was thrown. However, since time as it’s accessible to humans doesn’t work like that, the pertinent point is that there is a frame of reference in which it is seen to hit before it is seen to be thrown, and hence according to a particular observer cause followed effect.
Make of it what you will. I’m afraid I can’t prove anything from there without assuming the accuracy of Fer’s last big post, which I can’t actually justify and you may not accept.
43. Adrian
Yes, although I’ll add, with time being relative, there is a frame of reference where the brick hits the window before it is thrown. it’s not just an observational trick of how we process what we visualize, it’s that the brick actually does hit the window before it is thrown.
Otherwise you’re on the money.