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Old 08-26-2010, 12:46 AM   #76
MickeyC
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A more practical application of time dilation is in GPS technology. As I understand it, accurate positioning requires comparing the time the signals depart different GPS satellites with the time they arrive at the GPS receiver on the jet plane, helicopter or your Toyota. Because of the speed of the satellites, the GPS processors have to factor time dilation into. Here are the details

The current GPS configuration consists of a network of 24 satellites in high orbits around the Earth. Each satellite in the GPS constellation orbits at an altitude of about 20,000 km from the ground, and has an orbital speed of about 14,000 km/hour (the orbital period is roughly 12 hours - contrary to popular belief, GPS satellites are not in geosynchronous or geostationary orbits). The satellite orbits are distributed so that at least 4 satellites are always visible from any point on the Earth at any given instant (with up to 12 visible at one time). Each satellite carries with it an atomic clock that "ticks" with an accuracy of 1 nanosecond (1 billionth of a second). A GPS receiver in an airplane determines its current position and heading by comparing the time signals it receives from a number of the GPS satellites (usually 6 to 12) and triangulating on the known positions of each satellite. The precision is phenomenal: even a simple hand-held GPS receiver can determine your absolute position on the surface of the Earth to within 5 to 10 meters in only a few seconds (with differential techiques that compare two nearby receivers, precisions of order centimeters or millimeters in relative position are often obtained in under an hour or so). A GPS receiver in a car can give accurate readings of position, speed, and heading in real-time!

To achieve this level of precision, the clock ticks from the GPS satellites must be known to an accuracy of 20-30 nanoseconds. However, because the satellites are constantly moving relative to observers on the Earth, effects predicted by the Special and General theories of Relativity must be taken into account to achieve the desired 20-30 nanosecond accuracy.

Because an observer on the ground sees the satellites in motion relative to them, Special Relativity predicts that we should see their clocks ticking more slowly (see the Special Relativity lecture). Special Relativity predicts that the on-board atomic clocks on the satellites should fall behind clocks on the ground by about 7 microseconds per day because of the slower ticking rate due to the time dilation effect of their relative motion.

Further, the satellites are in orbits high above the Earth, where the curvature of spacetime due to the Earth's mass is less than it is at the Earth's surface. A prediction of General Relativity is that clocks closer to a massive object will seem to tick more slowly than those located further away (see the Black Holes lecture). As such, when viewed from the surface of the Earth, the clocks on the satellites appear to be ticking faster than identical clocks on the ground. A calculation using General Relativity predicts that the clocks in each GPS satellite should get ahead of ground-based clocks by 45 microseconds per day.

The engineers who designed the GPS system included these relativistic effects when they designed and deployed the system. For example, to counteract the General Relativistic effect once on orbit, they slowed down the ticking frequency of the atomic clocks before they were launched so that once they were in their proper orbit stations their clocks would appear to tick at the correct rate as compared to the reference atomic clocks at the GPS ground stations. Further, each GPS receiver has built into it a microcomputer that (among other things) performs the necessary relativistic calculations when determining the user's location.
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Old 08-26-2010, 02:06 AM   #77
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Personally I enjoy this book called Black-Holes Wormholes and Time Machines.

http://www.amazon.co.uk/Black-Holes-.../dp/0750305606

Has anyone read it?
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Old 08-26-2010, 09:49 AM   #78
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Have you ever read the long out of copyrite work "Flatland"? Skipping the bits about war, the societies in it ..... and how the 1-dimensioner's view 2-dimensioners, etc .... gives a very good feeling why someone *IN* an N-dimensional universe (i.e. our 4 dimensions including time) cannot even conceive of a larger dimension. They don't have words to describe it, and can't wrap their heads around the idea of more dimensions than they know.

I find it useful for thinking of time as one of those "we can't even imagine it" dimensions -- i.e. a 5-dimensional being *can* move backwards in time, whereas we cannot. Actually, we can imagine it .... so that's a little different than the dimensions discussed, wherein one's brain can't even grasp a higher dimension than it is built in. But the book stretches the mind as regards to the more usual of our 3 dimensions.

Very interesting read!
Actually I found the style of the book boring, but it did make some fascinating points. Press your finger into flatland and you will see a circle, but all the flatlanders would see would be a straight line.
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Old 08-26-2010, 02:23 PM   #79
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Actually I found the style of the book boring, but it did make some fascinating points. Press your finger into flatland and you will see a circle, but all the flatlanders would see would be a straight line.
I may have done a good deal of skimming. I re-started the book last night, and I agree with you in finding the style dreadful.

But somehow I found the sections on how they view a 1-dimensional universe as revealing, and how a 3D universe appears to them in Flatland. Thus an extrapolation on why any higher dimensions than our own, are nearly impossible to understand.
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Old 08-26-2010, 03:44 PM   #80
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Looking further at "Flatlandia" I see I mostly skipped the first 10 or so chapters, after getting bored during the beginning. "Section 2" wherein the Flatlander meets 'Other Worlds' -- the other dimensional worlds -- was good.
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Old 08-26-2010, 04:27 PM   #81
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Hasn't anyone stopped to consider the idea that time is a uniquely human invention?
It's true, it's true; and I can prove it. My dog get just as excited when I come back from the mail box at the end of the driveway as she does if I’ve been gone all day.
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Old 08-26-2010, 05:24 PM   #82
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WOW!

Wow, I didn't expect this kind of reaction when I started this thread. I am thrilled to be exposed to so many theories and ideas!

The reason I started this thread was because of my lifelong obsession with time. If you have followed this thread you may know my full time job is a professional musician. Since music travels through time, I have spent my entire life being under the rigourous demands that time imposes upon the creation of music. It made me start to wonder; What would music be like without the contraints of time? That led me to ponder the even more perplexing question; What would an existance be like without any time at all?

This has led me to write about this topic, and struggle with the very essence of understanding something that to me, is purely a human explanation of how we exist.

I truly believe time is a mystery, the hope is that we can continue to explore the concept and see the world beyond the limits that time may impose.
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Old 08-26-2010, 07:47 PM   #83
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Every time I see this thread, I'm reminded of this quote:

.....What then is time? If no one asks me, I know what it is. If I wish to explain it to him who asks, I do not know.
..........— Augustine of Hippo (13 – 430), Christian theologian, North African bishop, Doctor of the Roman Catholic Church, philosopher. Confessions (c. 397), XI, 14.
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Old 08-26-2010, 11:55 PM   #84
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This is something I have been annoying people with for years now. Usually they seem to mean that moving something 'back' makes it 'later', but when I change my watch to move it 'back' it is to an earlier time. When I point this out they just call me a now-it-all (or worse) and I have no friends.
Roger, I don't know if the bit I've bolded above is a typo or intentional, but, regardless, it certainly amuses the daylights out of me in the context of this thread and your own post. (If it's intentional, kudos; if it's unintentional...claim it was intentional ).

Cheers,
Marc
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Old 08-27-2010, 12:28 AM   #85
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That whistling sound you hear when you tip your head sideways; that's time flying by!
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Old 08-27-2010, 11:41 PM   #86
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Roger, I don't know if the bit I've bolded above is a typo or intentional, but, regardless, it certainly amuses the daylights out of me in the context of this thread and your own post. (If it's intentional, kudos; if it's unintentional...claim it was intentional ).

Cheers,
Marc
AWESOME! Let's all go back in time and rewrite some of our posts. Let's see what happens!
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Old 08-28-2010, 07:55 AM   #87
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AWESOME! Let's all go forward in time and rewrite some of our posts. Let's see what happens!
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Old 08-28-2010, 10:26 PM   #88
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Awesome, Let's all go.......AHHHHHHHHHHH!!!!!!!!
(As I fall helplessly into the abyss)
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Old 08-29-2010, 10:39 PM   #89
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Roger, I don't know if the bit I've bolded above is a typo or intentional, but, regardless, it certainly amuses the daylights out of me in the context of this thread and your own post. (If it's intentional, kudos; if it's unintentional...claim it was intentional ).

Cheers,
Marc
I have to come clean and say it was a typo, though one of my better ones.
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Old 08-30-2010, 10:54 PM   #90
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Red face

I'm not sure if anyone realized this, but I was actually refering to the magazine. LOL, wow, that was a poor attempt at humor.
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