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Old 12-23-2005, 10:17 AM   #21
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Please excuse me jumping in here to ask a question of the Relativity experts and not have to start a thread.

How was the time dilation equation derived?(The one with t' equaling t times the square root of 1 minus v2) I have been self educating about special relativity and my book is unclear, at least to me that is, about the derivation of this equation. I am an admittedly mathophobic but I am trying to learn physics as best as I can.
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Old 12-23-2005, 11:14 AM   #22
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Originally Posted by epepke
Of course, we think of motion and speed as something that happens with respect to time. However, we can also think of moving through time, which is what happens if we just sit there. When we're sitting stationary to a clock, we're moving through time at the maximum possible rate, but we aren't moving through space at all. However, when we start moving through space (relative to the clock), we're moving through time at a slightly slower rate.

You really did hurt my brain.


This may sound ludicrous but I’m working on a self-made theory wherein I some worth think that from movement commence time (I’m still working on it).Let me get your input about that.
In other words without any sort of movement there cannot be time, I think time is our way of identifying positions, events, etc. Because how can we know what time is if it’s never calibrated.
Lets image just for a moment that this is the beginning of a new universe nothing moves and it’s on pause mode:rolling: . Now what comes first? The space is there but what comes first between the time and movement. I think unless there is movement we do not know what time is, we cant possible tell what time is unless we calibrate it. Lets take a little mechanism of a machine for example, we wont know the efficiency of that little piece unless we test it and calibrate it to certain function rate that we want it to work by. But the calibration result is not going to derive it-self. Unless calibration is done.

eg. Lets say you have a 600bhp car park in you garage, you’ve never driven a car, bicycle, train, truck, nothing, no moving objects ever in your life, so you don’t possibly know what the rush and push of 600bhp car feels like but for you to know you have to drive the car so you know what it feels like then you can rate it and categories by saying 200bhp= fast 400bhp= faster and so on, but you cant arrive at the ratings without test driving the vehicle.

:thumbs: we should start another thread about space movement and time it might be interesting
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Old 12-23-2005, 12:33 PM   #23
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Originally Posted by tnorthover
I think I'd have heard if gases going at the local speed of light had been found; but if you know more recent information, I'd be interested to hear it.
There are gases that borderlines and pass c speed of light from jupiter but also

http://www.quantumbiocommunication.c...e-reality.html
"In 1982, at the University of Paris, a research team led by physicist Alain Aspect discovered that under certain circumstances subatomic particles such as electrons are able to instantaneously communicate with one another regardless of the distance separating them; it does not matter whether they are ten feet or ten billion miles apart.
Somehow each particle always seems to know what the other is doing. This fact violates Einstein’s long-held tenet that no communication can travel faster than the speed of light. This means breaking the time barrier."
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Old 12-23-2005, 02:39 PM   #24
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In other words without any sort of movement there cannot be time, I think time is our way of identifying positions, events, etc. Because how can we know what time is if it’s never calibrated.
Actually, this is pretty much the though experiment that leads to Relativity. You need to incorporate "how things are actually observed" as well, which is where light comes into it.
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Old 12-23-2005, 02:40 PM   #25
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Originally Posted by deltin9
There are gases that borderlines and pass c speed of light from jupiter but also

http://www.quantumbiocommunication.c...e-reality.html
"In 1982, at the University of Paris, a research team led by physicist Alain Aspect discovered that under certain circumstances subatomic particles such as electrons are able to instantaneously communicate with one another regardless of the distance separating them; it does not matter whether they are ten feet or ten billion miles apart.
Somehow each particle always seems to know what the other is doing. This fact violates Einstein’s long-held tenet that no communication can travel faster than the speed of light. This means breaking the time barrier."
No, it merely shows the limit of present [consensus] thinking.

It is correct that no 'communication' is possible at FTL, but there is certainly the knotty problem of Gravitation which does.

During any exchange between atoms that involves light [EMR] there is a temporary 'loss' of its Gravitational force, both the gravitation element of the electron and the electron itself [which for that moment ceases to exist in our time frame, ie 'blinks out'] then move FTL, this is seen, by our only means of viewing it [light or EMR], as being the rather 'erratic' behaviour that is the Electron cloud.

As the FTL element rejoins the electron 'gravity' and 'mass' are felt, it is the physical opposite of the energy [termed as 'quanta'] that is recorded when the separation occurs.

Gravity [as we feel it] is the result of the return of the electron[s] with their gravitational force.

This is an essential part of Photon and other exchanges, many of which occur at FTL.

The above is not even vaguely accepted by everyone here...
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Old 12-23-2005, 02:49 PM   #26
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Originally Posted by OdysseusTheInnkeeper
In the reference frame of light, both the temporal and the spatial dimensions in which the light ray is travelling collapse to zero. The universe is a 2D plane in the reference frame of a photon.
Absolutely correct, and the direction of travel (as seen by subluminal observers) would be at right angles into the plane.
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Old 12-23-2005, 02:59 PM   #27
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Originally Posted by sullster
Please excuse me jumping in here to ask a question of the Relativity experts and not have to start a thread.

How was the time dilation equation derived?(The one with t' equaling t times the square root of 1 minus v2) I have been self educating about special relativity and my book is unclear, at least to me that is, about the derivation of this equation. I am an admittedly mathophobic but I am trying to learn physics as best as I can.
That's not the right time dilation equation.

The correct one is derived from the Pythagorean theorem. It's very simple. Let's say there's a spaceship going by, and someone shines a light from port to starboard. That would be, in the reference frame of the ship, a straight line. However, because you measure the ship as moving in the stern-to-bow direction, the light is going at an angle. You make a right triangle using this as the hypotenuse. Since light has to go at the same speed in all subluminal frames, and it's a longer path, time on the spaceship is going more slowly. The squares and square roots come from the Pythagorean theorem.
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Old 12-23-2005, 03:51 PM   #28
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Quote:
Originally Posted by sullster
Please excuse me jumping in here to ask a question of the Relativity experts and not have to start a thread.

How was the time dilation equation derived?(The one with t' equaling t times the square root of 1 minus v2) I have been self educating about special relativity and my book is unclear, at least to me that is, about the derivation of this equation. I am an admittedly mathophobic but I am trying to learn physics as best as I can.
Quote:
Originally Posted by epepke
That's not the right time dilation equation.
Yes it is. The correct time dilation equation is t' = t / \sqrt{1 - v^2/c^2}, where t is the time interval measured in the clock's own rest frame, and t' is the time interval measured in the frame where the clock is moving at velocity v.
Quote:
Originally Posted by epepke
The correct one is derived from the Pythagorean theorem. It's very simple. Let's say there's a spaceship going by, and someone shines a light from port to starboard. That would be, in the reference frame of the ship, a straight line. However, because you measure the ship as moving in the stern-to-bow direction, the light is going at an angle. You make a right triangle using this as the hypotenuse. Since light has to go at the same speed in all subluminal frames, and it's a longer path, time on the spaceship is going more slowly. The squares and square roots come from the Pythagorean theorem.
I think you're describing the light clock argument, which gives the formula above. Here's a longer explanation of the light clock derivation:

http://www.kineticbooks.com/physics/...ity/10/sp.html
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Old 12-23-2005, 05:12 PM   #29
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Originally Posted by deltin9
There are gases that borderlines and pass c speed of light from jupiter
That I also find highly unlikely. With much more distant objects like galaxies I may have missed the result because it's too difficult to confirm the exact speed, that doesn't seem a likely issue within the solar system.

The other link seems very much on the kook side of science (and is trying to push a book besides). You can usually tell when an alleged physicist is veering towards kookdom when "consciousness" comes up.

Edit: I've looked up the actual results a little, and it seems that the crankiness is coming from the author of the book, not Alain Aspect. His work was simply quantum entanglement, which currently has very little effect on FTL and so on. At the moment we think there's no possible way to transmit anything, including information faster than light using it.

Edit2: To sum up entanglement, it allows you to entangle two particles next to each other to, say, have the same spin provided they're not disturbed too much. Then you can move them away from each other while this spin is still indetereminate by QM. Then you can measure the spin of the first particle, and if you quickly (in some sense) do the same to the other, you'll get the same result. Nothing travels faster than light though, and you can't use it to transmit information, because you can't force the spin of the first particle to be what you want (at least without being so intrusive as to break the entanglement).
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Old 12-23-2005, 07:14 PM   #30
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Edit2: To sum up entanglement, it allows you to entangle two particles next to each other to, say, have the same spin provided they're not disturbed too much. Then you can move them away from each other while this spin is still indetereminate by QM. Then you can measure the spin of the first particle, and if you quickly (in some sense) do the same to the other, you'll get the same result. Nothing travels faster than light though, and you can't use it to transmit information, because you can't force the spin of the first particle to be what you want (at least without being so intrusive as to break the entanglement).
Entanglement can't be used to send information faster than light, but it's still pretty weird from a classical point of view--before it had been experimentally confirmed, Einstein dismissed it as "spooky action at a distance". Here was my explanation of it from another thread:
Quote:
Photons have two types of polarization, linear polarization and circular polarization, and they are "noncommuting" variables which means you can't measure both at once, just like with position and momentum. If you measure circular polarization, only two possible outcomes are possible--you'll either find the photon has left-handed polarization, or right-handed polarization. With linear polarization, you can only measure it along a particular spatial axis, depending on how you orient the polarization filter--once you make that choice, then again there are only two outcomes possible, the photon either makes it throught the filter or it doesn't. And if you have two entangled photons, then if you make the same measurement on both (either measuring the circular polarization of each, or measuring the linear polarization of both in the same direction) then you'll always get the same answer.

To understand the EPR experiments, You can actually ignore circular polarization and just concentrate on linear polarization measured on different axes. If you do not orient both filters at exactly the same angle, then you are no longer guaranteed that if one photon makes it through its filter, the other photon will make it through its own--the probability that you will get the same answer in both cases depends on the angle between the two filters. Suppose you choose to set things up so that each experimenter always chooses between three possible angles to measure his photon. Again, whenever both experimenters happen to choose the same axis, they will both get the same answer. But by itself, there is nothing particularly "spooky" about this correlation--as an analogy, suppose I make pairs of scratch lotto cards with three scratchable boxes on each one, and you find that whenever one person scratches a given box on his card and finds a cherry behind it, then if the other person scratched the same box on their own card, they'd always find a cherry too. You probably wouldn't conclude that the two cards were linked by a faster-than-light signal, you'd just conclude that I manufactured the pairs in such a way that each had the same pictures behind each one of its three boxes.

In the same way, you might conclude from polarization experiment that each photon has a preexisting polarization on each of the three axes that can be measured in the experiment, and that in the case of entangled photons, both are always created with the same polarization on their three axes. For example, if you label the three filter orientations A, B, and C, then you could imagine that if one photon has the preexisting state A+,B-,C+ (+ meaning it is polarized in such a way that the photon will make it through that filter, - meaning it won't make it through), then the other photon must have the same preexisting state A+,B-,C+.

The problem is that if this were true, it would force you to the conclusion that on those trials where the two experimenters picked different axes to measure, both photons should behave the same way (either both making it through their filter, or both being blocked) in at least 1/3 of the trials. For example, if we imagine both photons are in state A+,B-,C+ before being measured, then we can look at each possible way that the two experimenters can randomly choose different axes, and what the results would be:

Experimenter #1 picks A, Experimenter #2 picks B: different result (photon #1 makes it through, photon #2 is blocked)

Experimenter #1 picks A, Experimenter #2 picks C: same result (both photons make it through)

Experimenter #1 picks B, Experimenter #2 picks A: different result (photon #1 doesn't make it through, photon #2 does)

Experimenter #1 picks B, Experimenter #2 picks C: different result (photon #1 doesn't make it through, photon #2 does)

Experimenter #1 picks C, Experimenter #1 picks A: same result (both photons make it through)

Experimenter #1 picks C, Experimenter #2 picks picks B: different result (photon #1 makes it through, photon #2 doesn't)

In this case, you can see that in 1/3 of trials where they pick different filters, they should get the same result. You'd get the same answer if you assumed any other preexisting state where there are two filters it will go through and one it won't, like A+,B+,C- or A-,B+,C+, or a state where there are two filters it won't go through and one it will, like A-,B+,C- or A+,B-,C-. On the other hand, if you assume a state where they'll behave the same way in response to all the filters, either A+,B+,C+ or A-,B-,C-, then of course even if they measure along different axes they are guaranteed to get the same answer with probability 1. So if you imagine that when multiple pairs of photons are created, some fraction of pairs are created in inhomogoneous preexisting states like A+,B-,C- while other pairs are created in homogoneous preexisting states like A+,B+,C+, then the probability of getting the same answer when you measure photons on different axes should be somewhere between 1/3 and 1. 1/3 is the lower bound, though--even if 100% of all the pairs were created in inhomogoneous preexisting states, it wouldn't make sense for you to get the same answer in less than 1/3 of trials where you measure on different axes, provided you assume that each photon has such a preexisting state.

But the strange part of QM is that by picking the right combination of 3 axes, it is possible for the probability that the photons will behave the same when different filters are picked to be less than 1/3! And yet it will still be true that whenever you measure both along the same axis, you get the same answer for both. So unlike in the case of the scratch lotto cards, we can't simply explain this by imagining that each photon had a predetermined answer to whether it would make it through each of the 3 possible filters. This is the origin of the notion of "spooky action at a distance".

But notice that this spookiness can't be exploited to send messages--each experimenter only gets to choose which of the three filter orientations to use, but they have no influence over whether the photon actually makes it through the filter they choose or is blocked by it, that seems to be completely random. It's only when they get together and compare their results over multiple trials that they notice this "spooky" statistical property that when they both happened to pick the same filter orientation, both photons always behaved the same way, yet when they picked two different filter orientations, both photons behaved the same way less than 1/3 of the time.
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