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Trojan666ru
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Most of the paradoxes are solved by either "Relativity of simultaneity" or "Born rigidity"
And there is a 3rd tool that i know is "Minkowsky spacetime diagram"
But i do not understand how clear/imaginable it will be when you represent a paradoxical event on Mink Sp Diagram (MSD)
When i asked a question which can neither be solved with "Relativity of simultaneity" or "Born rigidity" some people represented it on a Minkowsky spacetime diagram and claimed "paradox solved!"
Sometimes they try to question my experiment like asking "how can the time be synchronised/ how can you separate a distance like that/ it is only a thought experiment so there won't be a clear answer etc" I think they were trying to skip the question.
I'll give you that paradox
"Imagine you are standing on Earth and there is another planet (Say Planet X) 4 light years away. Both planets are relatively at rest to each other (What i mean here is there is no relative motion between these planets, here both planets are floating in space, not revolving around the sun)
Both the planets are synchronised in time by sending light pulses so that they can keep 2013 on both planets.
Suppose there has been an agreement for conducting an experiment between these planets. Scientists on Planet X accelerate a proton in a 'particle accelerator experiment' until the proton reaches a velocity of 99.99999999% c. When it is 2014 on planet x (on Earth too) they eject the proton towards the earth.
Just imagine that this proton has an 'inbuilt clock' in it (just imagine).
As soon as the proton leaves the accelerator, a stopwatch which which is attached to it activates.
Scientists on Earth expect the proton reaching the Earth on 2018 + some months.
Unfortunately a scientist (Robert) on Earth dies in 2017 and proton reaches the Earth on 2018.
The proton will have only aged an year or so.
(This is an event that has been happened and there is no way it can be undone)
Now imagined everything from the "protons rest frame"
What proton see is that as soon as it leaves the accelerator, planet x moves away from it with a velocity of 99.99% c and the Earth moves towards it with the same velocity
Its clock will be running normally and it sees Earth to be time dilated. Earth will reach at the proton after 4 years.
When Earth reaches the proton, the Earth will have aged only about 1 year (2015) and 4 years pass for proton.
Lucky from protons view the scientist Robert is alive and healthy
This is what we gets from a protons reference frame, both predictions are according to relativity and both are real. But it's a paradox.
In the first event from Earth's rest frame the scientist Robert dies before seeing the proton and in the protons rest frame of reference The scientist is alive!
So how do relativity solve this paradox?
How can MS Diagram can solve this paradox?
I agree they can represent it on a diagram but it doesn't solve the paradox.
If it solves how can i visualize it, i mean i need a picture with definite result, a result that is agreeable for all observers
And there is a 3rd tool that i know is "Minkowsky spacetime diagram"
But i do not understand how clear/imaginable it will be when you represent a paradoxical event on Mink Sp Diagram (MSD)
When i asked a question which can neither be solved with "Relativity of simultaneity" or "Born rigidity" some people represented it on a Minkowsky spacetime diagram and claimed "paradox solved!"
Sometimes they try to question my experiment like asking "how can the time be synchronised/ how can you separate a distance like that/ it is only a thought experiment so there won't be a clear answer etc" I think they were trying to skip the question.
I'll give you that paradox
"Imagine you are standing on Earth and there is another planet (Say Planet X) 4 light years away. Both planets are relatively at rest to each other (What i mean here is there is no relative motion between these planets, here both planets are floating in space, not revolving around the sun)
Both the planets are synchronised in time by sending light pulses so that they can keep 2013 on both planets.
Suppose there has been an agreement for conducting an experiment between these planets. Scientists on Planet X accelerate a proton in a 'particle accelerator experiment' until the proton reaches a velocity of 99.99999999% c. When it is 2014 on planet x (on Earth too) they eject the proton towards the earth.
Just imagine that this proton has an 'inbuilt clock' in it (just imagine).
As soon as the proton leaves the accelerator, a stopwatch which which is attached to it activates.
Scientists on Earth expect the proton reaching the Earth on 2018 + some months.
Unfortunately a scientist (Robert) on Earth dies in 2017 and proton reaches the Earth on 2018.
The proton will have only aged an year or so.
(This is an event that has been happened and there is no way it can be undone)
Now imagined everything from the "protons rest frame"
What proton see is that as soon as it leaves the accelerator, planet x moves away from it with a velocity of 99.99% c and the Earth moves towards it with the same velocity
Its clock will be running normally and it sees Earth to be time dilated. Earth will reach at the proton after 4 years.
When Earth reaches the proton, the Earth will have aged only about 1 year (2015) and 4 years pass for proton.
Lucky from protons view the scientist Robert is alive and healthy
This is what we gets from a protons reference frame, both predictions are according to relativity and both are real. But it's a paradox.
In the first event from Earth's rest frame the scientist Robert dies before seeing the proton and in the protons rest frame of reference The scientist is alive!
So how do relativity solve this paradox?
How can MS Diagram can solve this paradox?
I agree they can represent it on a diagram but it doesn't solve the paradox.
If it solves how can i visualize it, i mean i need a picture with definite result, a result that is agreeable for all observers