aggle-rithm
Ardent Formulist
I've been meaning to unify gravity and electromagnetism, but I've just been so busy...
We can straight away discard the idea of constant speed of light using the same twin flight experiment. Imagine that a beam of light with velocity ‘10C’ is shone towards the west. A west bound flight whose velocity is ‘2C’ will measure the velocity of light as only 8C unless its time gets dilated. Similarly the east bound flight with a velocity 2C will measure the speed of light as 12C unless its time runs faster. But we know that this was not the case from the above experiment.
I am not sure if the rest of the crowd also has the same limitations like you.
2.Twins paradox
a.Due to the expanding universe, we on this earth are already moving at close to the speed of light relative to the receding galaxies at the ‘far end’ of our universe. This should make us immortal!
b.Coming to the twins paradox, it is said that if one of the twins travels to the outer space at close to the speed of light, on his return from the space trip, because of time dilation, he would apparently be younger than his earth bound twin. But we could argue that the earth bound twin was also moving at the same speed relative to the space bound twin. So time should dilate for both them equally.
Sounds like he could use a good dose of Staphysagria*. Among its other amazing homecraptic abilities is that of controlling anger.
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* http://abchomeopathy.com/r.php/Staph
Time dilation has been ‘proved’ experimentally by running two flights with equal velocity in the opposite directions, one east wards and another west wards. It was 'noted' that the clock in the east bound flight recorded less time than that in the west bound flight ‘indicating’ time dilation. This is because, earth’s rotational velocity (as it spins towards east) gets added to the east bound flight making its relative velocity more than the west bound flight which runs opposite to the direction of the earth’s spin.

a.Due to the expanding universe, we on this earth are already moving at close to the speed of light relative to the receding galaxies at the ‘far end’ of our universe. This should make us immortal!
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To observers on the far side of the universe, we do live longer. Time dilation does not apply in the frame of reference which is considered to be moving, only to the observer in another frame.
To observers on the far side of the universe, we do live longer. Time dilation does not apply in the frame of reference which is considered to be moving, only to the observer in another frame.
It's more subtle than that. You cannot really talk about "frames" - which is usually short for "inertial reference frame" - in cosmology. There is no such thing as an inertial frame in a curved spacetime. And if instead you replace "inertial reference frame" by "coordinate system", your first statement is false. For instance, in standard, flat, FRW cosmology, the metric is
[latex]$-dt^2 + a(t)^2 d \vec x^2$[/latex]
If the earth is at x=0, an observer "on the far side of the universe" is at a*x=1/H, where H=(a dot)/a. But as you can see from that metric, time ticks at exactly the same rate everywhere.
You might wonder how that is possible, since after all, the universe is expanding and there must high relative velocities involved (indeed, if "velocity" means the time derivative of a*x, then for a*x>1/H the "velocity" is greater than c).
What's going on is that this metric describes a curved spacetime, and naive notions of time dilation - and even velocity and distance - simply do not apply to it. Instead, you should ask about physical experiments. For instance, if we looked at a (very) distant planet with some kind of super telescope, would we see the people on it living slowly? The answer is that we would, at least if H>0 - but how much of that is due to simple Doppler shift and how much is due to "true" time dilation is not at all clear (and in fact, not even a well-defined question).
I will make the thought experiment simpler for you, can’t see you all struggle so much on that.
We can straight away discard the idea of constant speed of light using the same twin flight experiment. Imagine that a beam of light with velocity ‘C’ is shone towards the west. A west bound flight whose velocity is ‘0.2C’ will measure the velocity of light as only ‘0.8C’ unless its time gets dilated. Similarly the east bound flight with a velocity ‘0.2C’ will measure the speed of light as ‘1.2C’ unless its time runs faster. But we know that this was not the case from the above experiment.
I said just imagine.
Lack of simple imagination power is not a limitation (with reference to the crowd here)
But we know that this was not the case from the above experiment.
Wait, didn't you say that "the above experiment" demonstrated time dilation?
Sorry, I just don't seem to be following.
I will make the thought experiment simpler for you, can’t see you all struggle so much on that.
We can straight away discard the idea of constant speed of light using the same twin flight experiment. Imagine that a beam of light with velocity ‘C’ is shone towards the west. A west bound flight whose velocity is ‘0.2C’ will measure the velocity of light as only ‘0.8C’ unless its time gets dilated. Similarly the east bound flight with a velocity ‘0.2C’ will measure the speed of light as ‘1.2C’ unless its time runs faster. But we know that this was not the case from the above experiment.
I said just imagine.
Lack of simple imagination power is not a limitation (with reference to the crowd here)
I will make the thought experiment simpler for you, can’t see you all struggle so much on that.
We can straight away discard the idea of constant speed of light using the same twin flight experiment. Imagine that a beam of light with velocity ‘C’ is shone towards the west. A west bound flight whose velocity is ‘0.2C’ will measure the velocity of light as only ‘0.8C’ unless its time gets dilated. Similarly the east bound flight with a velocity ‘0.2C’ will measure the speed of light as ‘1.2C’ unless its time runs faster. But we know that this was not the case from the above experiment.