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3) Perhaps the most interesting change is that 1 year to you would seem to be 2.294 years for someone back on Earth.
# Relativity of simultaneity: Two events, simultaneous for one observer, may not be simultaneous for another observer if the observers are in relative motion.
# Time dilation: Moving clocks are measured to tick more slowly than an observer's "stationary" clock.
Clocks run more slowly in regions of lower gravitational potential This is called gravitational time dilation.
And researcher James Chin-Wen Chou explained that even if you lived at the top of the Empire State Building throughout your life, you would only lose 104 millionths of a second.
I mentioned I'd be gone for a while and couldn't answer right away, I just got back, and see I missed a question.
Originally posted by spy66
I will give you an example of how i check a theory.
For an aircraft flying over the equator, its clocks will show a time shift relative to a fixed surface clock...
For travel eastward, v has a positive sign and the shift will be negative (aging more slowly). But for a westward flight the time shift is positive (aging faster) for the aircraft speeds involved. Hafele and Keating predicted time shifts of -184 ns for an eastward flight around the world and a shift of +96 for a westward flight.
If you plug in numbers for a 48 hour round trip flight at constant speed at the equator, you get -260 ns and 156 ns for the eastbound and westbound flights respectively. The predicted values obtained by Hafele and Keating presumably were based upon detailed measurements of the speeds, etc.
Hafele and Keating are credited with an experimental measurement which confirms time dilation and matches predictions with an accuracy of about 10%.
First, you're right, there's no real change in mass, but this isn't what Dave was talking about. It's the relativistic mass which changes.
Originally posted by spy66
I will illustrate this with change of mass as well.
So they know this effect quite well and designed this massive machine around the relativistic mass increase principle laid out by Einstein.
For the answer to this we have to turn Einstein's special theory of relativity.
Basically the relativistic mass of a particle increases with velocity and tends to infinity as the velocity approaches the speed of light.
In practical terms our protons are moving a very small fraction below the speed of light. As we increase the energy (and momentum) they only get a very small fraction closer to the velocity of light - never reaching it. However, their energy and momentum do increase considerably.
For a given momentum, our magnets need to provide a force necessary to bend the beam around in the 27 km. The increase in momentum is exactly reflected in the increased force we have to apply with these magnets as we increase the energy of the beam.
The size of the LHC is basically determined by the maximum strength of our dipole magnets. If the ring were smaller they would have to be a lot stronger.
Originally posted by Arbitrageur
reply to post by spy66
And how do you explain the clocks that were measured to be running at different speeds?
hyperphysics.phy-astr.gsu.edu...
You haven't explained why there are differences. "of course" is not an explanation. Why are they running at different speeds if not due to time dilation, etc?
Originally posted by spy66
They are flying a atomic clocks around the world. Of course there will be differences.
Originally posted by Arbitrageur
You haven't explained why there are differences. "of course" is not an explanation. Why are they running at different speeds if not due to time dilation, etc?
Originally posted by spy66
They are flying a atomic clocks around the world. Of course there will be differences.
According to your explanation, time dilation is not real so there should be NO DIFFERENCE!edit on 8-10-2010 by Arbitrageur because: (no reason given)
Originally posted by Arbitrageur
You haven't explained why there are differences. "of course" is not an explanation. Why are they running at different speeds if not due to time dilation, etc?
Originally posted by spy66
They are flying a atomic clocks around the world. Of course there will be differences.
According to your explanation, time dilation is not real so there should be NO DIFFERENCE!edit on 8-10-2010 by Arbitrageur because: (no reason given)
Originally posted by docpoco
Originally posted by Arbitrageur
You haven't explained why there are differences. "of course" is not an explanation. Why are they running at different speeds if not due to time dilation, etc?
Originally posted by spy66
They are flying a atomic clocks around the world. Of course there will be differences.
According to your explanation, time dilation is not real so there should be NO DIFFERENCE!edit on 8-10-2010 by Arbitrageur because: (no reason given)
Here is what I want Spy66 to say:
I am smarter than Einstein, and I intend on using basic physics equations to prove his incredibly complex (but somehow scientifically proven theorems) incorrect.
So you DO disagree with Einstein!
Originally posted by spy66
I have not said time dilation does not exist. I said it exists between two time lines. Not on the time lines it self.
So your interpretation is what Wikipedia refers to as "naive".
In physics, the twin paradox is a thought experiment in special relativity, in which a twin makes a journey into space in a high-speed rocket and returns home to find he has aged less than his identical twin who stayed on Earth. This result appears puzzling because each twin sees the other twin as traveling, and so, according to a naive application of time dilation, each should paradoxically find the other to have aged more slowly. In fact, the result is not a paradox in the true sense, since it can be resolved within the standard framework of special relativity. The effect has been verified experimentally using precise measurements of clocks flown in airplanes[1] and satellites.
If a pair of twins are born on the day the ship leaves, and one goes on the journey while the other stays on Earth, they will meet again when the traveler is 5.14 years old and the stay-at-home twin is 10.28 years old. The calculation illustrates the usage of the phenomenon of length contraction and the experimentally verified phenomenon of time dilation to describe and calculate consequences and predictions of Einstein's special theory of relativity.