sol invictus
Philosopher
- Joined
- Oct 21, 2007
- Messages
- 8,613
I'm off to paint the laundry room.
Try not to paint yourself into a corner.
I'm off to paint the laundry room.
I ended my last post with this: "... and backed it all up with some simple calculations."You merely consider two parallel-mirror light clocks at different elevations, you're aware that GR predicts that these clocks do not stay synchronised, and then you draw yourself a picture showing one beam of light moving faster than the other. Like this:
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See above. One needs somewhat perverse reasoning to assert that the two light beams are moving at the same speed. If they were, the two clocks would remain synchronised, contrary to Einstein's GR prediction which has been verified repeatedly.
If you "think for yourself", as Farsight urges, it is immediately obvious that his diagram is grotesquely inaccurate (e.g. there would need to be ~10^16 minus signs - "units" - for the difference to amount to 1 unit; if each "tick" or unit were the size of an atom, ~0.1 nm say, the light beams would each need to be ~1,000 km in length), and how this pair of parallel-mirror light clocks gets to be unsynchronized becomes far from intuitively obvious, or easy to grasp.(bold added)Wow guys, I've just read through to the end of the thread and frankly I'm amazed. You're showing the most awful groupthink here. You still can't see the obvious. Let's try it another way. Let's say we've got two trains on parallel tracks. They start off at the same time, and one reaches the end before the other. Like this:
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Which train is going faster? Easy. The top one.
Now repeat this with two light beams in parallel-mirror clocks:
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Which one's going faster?
It's that simple, it really is.
To Farsight:
Don't take this the wrong way, but the boring part is your repeated assertions without anything additional in the way of evidence or even explanation. You seem to take any request for aditional information as some sort of insult or as set up for a trap. People here are trying to udnerstand what you're saying, but you haven't really made it clear at all. You keep saying the same things repeatedly without ever clarifying questions. I believe it would improve all sides of the coversation if you could slow down, put aside the animosity for a bit, and try to answer the questions...nto with generalities but with specifics. Science isn't a shotgun, it's a sniper rifle. Precision counts.
And at the event horizon c is zero! Hence the gravitational time dilation goes infinite at the event horizon. Take the lower clock down to the event horizon, and this is what you've got:
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And that reflects what we can see with our parallel-mirror light clocks losing synchronisation at different elevations, just like those super-accurate optical clocks.
(bold added)You can conduct the experiment when you and your two-parallel-mirror light clocks are in free fall. At all times the lower clock is below the upper clock, so you continue to see that the light beam in the lower clock goes slower than the light beam in the upper clock:
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They don't, they airbrush over the way the speed of light varies with gravitational potential. You don't need to be a distant observer to see this, you can do it within the confines of a room.
What you can't see is time. Don't allow something you can't see to blind you to something you can.
In exactly what way does if fail to match the observed behavior of the universe? Where's the flaw?
In whether the mathematics provides a real solution. There's nothing wrong with the mathematics that tells you that the square root of 16 is either 4 or -4. But if you then assert that a carpet measuring -4m by -4m is something real, you've got a problem.
I can. I can see that optical clocks lose synchronisation when separated by only a foot of vertical distance. From that I know that parallel-mirror light clocks will do the same. So I know that this is what's happening:
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There's no appears about it. One light beam is going faster than the other and that's that.
For some things yes, but when we start talking about time travel and black holes you start to see differences.
I can see light moving. I can't see time passing.
I've shown you the maths of the Lorentz interval and how SR time dilation is based on the motion of light and Pythagoras' theorem. The interval is invariant for the twins with their parallel-mirror light clocks because their two light paths are the same length. And the empirical evidence does not support the time passes slower description.
I've told you why. The vacuum impedance of space Z0 = √(μ0/ε0) is increasing, and c = √(1/ε0μ0).
Why? The horses are side by side. Racetracks are flat. Just accept what you see. One horse lags behind the other. So the other horse is going faster.
You could make up anything to try to explain away the obvious. Don't.
It's two horses on a level track!
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That's absolutely untrue, I've addressed your posts at length and in great detail. Since you take that line I will not address your post #720. Let's call it a day Zig....Never once have you actually addressed the substance of what I've said.
I was sick of seeing that tired old uninteresting diagram since long before DeiRenDopa started reposting it. To liven things up a little, I've made an animated GIF version that comes with an explanation...
[qimg]http://www.internationalskeptics.com/forums/picture.php?albumid=721&pictureid=5752[/qimg]
Well, for what it's worth, I was pretty sick of seeing it used, over and over again, too.I was sick of seeing that tired old uninteresting diagram since long before DeiRenDopa started reposting it.
That's pretty cool, thanks!To liven things up a little, I've made an animated GIF version that comes with an explanation...
[qimg]http://www.internationalskeptics.com/forums/picture.php?albumid=721&pictureid=5752[/qimg]
I hope you appreciate it Farsight. Just right click on it and select "Save Image As" to save it to your computer. Then you can upload it to your own JREF photo album like I did and link to it in your posts like I did here. Or stick it on a web-page. Or add it to posts as an attachment. Whatever you want.
ETA: I thought you might like to know that the reason for the background gradient is to represent close proximity to a black hole by means of darker shades.
So, once again, you have failed, Farsight, to communicate your ideas.That's absolutely untrue, I've addressed your posts at length and in great detail. Since you take that line I will not address your post #720. Let's call it a day Zig.
What different reference frames? It's just two beams of light moving through space. It's misty or smoky so you can see them. You can't see the reference frames. They're just abstract things that you derive using the motion of light."Distant" in this context doesn't refer to large distance, but different reference frames (which would almost always require some distance). A "distant" observer in this context would include an observer at a different velocity or rate of acceleration to that which is being observed, regardless of how far away they are.
It doesn't matter where I am, the lower beam gets to the end faster than the upper beam.They are "distant" despite being only a few feet apart (a few feet distant). And if you are at the same "gravitational potential" as one of the clocks, this would make you a distant observer to the other.
Don't clutch at straws. You know what air is. You breath it. You can feel it when the wind blows on your face. On a hot day it shimmers.I can't see air. But I can see a feather fall slower than a rock. So if I'm not going to allow something I can't see to "blind" me to something I can, I must conclude that the rate at which objects fall is proportional to mass. That a 10 pound bowling ball will fall at half the rate of a 20 pound bowling ball.
But what you can see is one light beam moving faster than the other. Don't kid yourself that it isn't because of something you can't see.I can't see air, but I can observe and measure the effects of air.
I can't see time, but I can observe and measure the effects of time.
Flip that around. The maths describes the observed behaviour, but that's incompatible with what people say it describes. You see light moving slower, not time passing slower.So you implicitly agree that the commonly accepted math describes the observed behavior of the universe perfectly, but your objection is based on the fact that it's incompatible with your personal opinion as to the underlying behavior of the universe.
No, I want you to correct your concept to match what you can see.So instead you want us to different concepts of the way the universe behaves than those underlying the usual math.
I told you about the invariant interval and how it employs Pythagoras' theorem. That's simple enough. The maths is the same maths. I can't give you any new maths. All I can do is point to the evidence and tell you to look at what you see and try to give you a better understanding of what the terms actually represent.These concepts would produce the exact same observations to the usual math... however you can't provide us with any math that shows these concepts would produce the same observations?
My negative carpet example was good. Zig was being dishonest when he tried to conflate distance with displacement. I have only so much patience for that kind of thing.(Plus you seem to have completely ignored the deconstruction of your carpet example by other posters.)
It doesn't appear to travel at a different speed. It travels at a different speed. The gedanken scenario is where you replace the light beams with trains. When one train hits the buffer the other train explodes. All observers see the lower train explode.These clocks are distant to each-other (displaced by a foot in a varying gravitational field, causing them to experience different acceleration). And light can appear to travel at different speeds to a distant observer.
I know that they have because I used the motion of light to define the metre, and that doesn't change. The bigger second and the slower light cancel each other out.All you know is that the two beams of light have not traveled the same distance, but you don't know why. You can only conjecture, conclude and assume the possible reasons for the difference.
But I'm with Einstein on this.You're insisting that it must be a difference in velocity. We're saying that it could just as easily be a difference in elapsed time.
There is no such thing as "displaced in time". You have no freedom of motion in the time "dimension". It isn't the same kind of dimension as the spatial dimensions. And clocks don't clock up the flow of time. They clock up some kind of regular cyclic motion. That's all they do. That's what they all do.If the difference in acceleration is causing the clocks to become displaced in time, then the lower clock is lagging because the light has had less time to cover the same distance.
On the contrary. I've told you what clocks do, I've explained the definition of the second and the metre, I've told you what Einstien said, I've pointed you at the Godel/Einstein book, I've told you about the Shapiro delay, and I've shown you one light beam moving faster than another. The boot is on the other foot Brian. You continue to insist that the light beams are travelling at the same speed and that "time is flowing" slower where the lower beam is. And yet there is no time flowing between those mirrors. It's just light moving.You've yet to provide any coherent argument for why this difference could not be caused by a variance in time. You just keep repeating "you can't see time" as if this banality were somehow significant.
I have done. Now trust the evidence of your own eyes and look. Do you see time flowing? No. What you see is light moving.Simply insisting that something is so isn't enough to convince us. You also need to provide us with a rational reason for believing it.
Because you need motion to have time. Not the other way around. You must have seen some science-fiction movie where somebody "stops time". What actually stops is motion. When you freeze the frame or stop the clock you stop motion not time.Why must it be a result of variation in velocity rather than a variation in time?
The differences are in your understanding, and we do physics to understand the universe. It matters.We've never seen time travel or the event horizon of a black hole. How can we see differences in something we haven't seen?
You can observe the light travelling slower. You can't observe time travelling slower.But I've said that it's indistinguishable from what we regard as time traveling slower, so exactly how would your concept of light traveling slower be observably different from our concept of time traveling slower in these circumstances?
Best to say speed because velocity is a vector quantity comprised of speed and direction, but nevermind.Distance = Velocity * Time
Velocity = Distance / Time
You're seeing light moving. You aren't actually seeing time elapsing. That's just what you call it.If you can perceive light moving, you're also perceiving time elapsing. Light cannot move without time elapsing.
No, the light-path lengths have the same length in flat 3D Newtonian space. That's why the interval is invariant.It's only the same length in 3D Newtonian space. Different lengths in 4D relativistic space-time.
The evidence I can see. You don't have any evidence for time passes slower. Again, I can show you light moving, you can't show me time passing.(And what empirical evidence doyou have that does not support the time passes slower description?)
It's coherent. A concentration of energy (usually in the form of matter such as a star) "conditions" the surrounding space. That's what Einstein said.You've been questioned about this before and completely failed to provide any coherent explanation.
It isn't like that. The concentration of energy imparts a gradient in Z within the surrounding space, and as a result of that you also have a gradient in c.From your previous "explanations" the only reason that the vacuum impedance changes is because the value of C has changed. Which leaves us with C changes because Z has changed because C has changed.
I have to get into electromagnetism and describe the photon to explain that. And even then all I can really say is that this is how photons are.This does not explain why C (or Z) has changed.
ETA: You did also claim that Z changes because of gravitational potential, but this is no different than claiming C changes because of gravitational potential. No mechanism for this is described.
Not so. I use them a lot. But I use the right analogies.I'm beginning to suspect that you don't really "get" analogies. Something about the concept seems to elude you.
You can't move through spacetime. No kidding. You can move through space and plot a worldline in spacetime, but you can't move through spacetime.I'm not talking about real racetracks here. I'm talking about an imaginary racetrack symbolizing spacetime.
It doesn't. See what I said about the metre.On this imaginary racetrack, one lane is flat and the other one curves up and down, meaning the the horse on this track has a much larger distance to cover.
Don't try to explain away what you can see with something you can't.But since we can't perceive the dimension in which the track curves on our TV screen, it appears as if the horse on this track is moving slower than the horse on the other track, even though they're really going the same speed.

My negative carpet example was good. Zig was being dishonest when he tried to conflate distance with displacement. I have only so much patience for that kind of thing.
Somewhat like this, right ("*" means the train explodes)?It doesn't appear to travel at a different speed. It travels at a different speed. The gedanken scenario is where you replace the light beams with trains. When one train hits the buffer the other train explodes. All observers see the lower train explode.Brian-M said:These clocks are distant to each-other (displaced by a foot in a varying gravitational field, causing them to experience different acceleration). And light can appear to travel at different speeds to a distant observer.
Excuse me for butting in but I have a question. Sorry if it's a stupid one. Say you are observer A. At 10 o'clock and at 2 o'clock, some distance away, are B and C. They are travelling away from each other at 51% of the speed of light each. Cumulatively 102% of the speed of light. I have two questions about this:
1 from A's vantage point, how does this differ from B being stationary and C travelling at 102% of the speed of light (which I understand is not allowed)? and
2 from B's vantage point, is C a black hole and vice versa (regardless of mass)?
3 is there a better thread than this one for dumb questions about physics?
Not to forget; found out they didn't understand the universe/world/women, fell in love, built a siege catapult, read books, fell out of love, built a laser1, made friends they'd still know twenty years later, organise a conference, read more books, make DDT, participate in a riot, found the love of their life..........Two years ago? That's nothing, Farsight's view hasn't changed since at least 2008.
The funny thing about 2008? It's about 4 years ago. An 18-year-old high school graduate could have entered college in 2008, learned vector calculus, learned mechanics, learned differential equations, learned special relativity, learned differential geometry, learned general relativity, and (preparing to graduate in a few months) actually become a physicist. (And, simultaneously: learned a language, learned critical theory, played Ultimate, worked nights and weekends, took summers off, etc..)