According to Einstein "if a body moves in a circular path with a velocity which is greater than the velocity of light then the body will Travel through time".
will the body actually travel through time or will the object's age change?
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The object would actually travel through time.
There are several ways this is suspected to be possible. For example:
In quantum mechanics, the uncertainty principle allows extremely small particles to move faster than light - since their positions are not fixed. For example, if you send electrons though a superconductor, a few of the electrons may reach the end of the conductor slightly faster than the speed of light. i.e. you can detect a small number of electrons just slightly prior to turning on the superconductor. Detecting such small numbers of such particles is no easy task.
High gravity fields can bend space-time. For example, near the event horizon of a black hole you might have light circling at the speed of light and then just escaping. However, if the black hole itself is spinning, then its gravity can 'drag' space along with it. To an outside observer the light would be moving faster than the speed of light. Light would appear to leave the black hole prior to going into it. Modern theories suggest that a powerful enough beam of light itself will move space and particles traveling close to the beam may be able to exceed the speed of light.
There are good books on the subject.
The objects age would not change. It would age slower. It is possible to travel through time theoretically. You should look into the 10 dimensions of string theory on youtube. It will explain time there a lot better.
According to einstein, also, nothing will move faster than "c" anyway, so it's a moot point until further observation is made to point contrarily.
Time travel is possible. You are doing it right now.
Travel to the past, however, is not possible.
The first obvious reason is that nothing can go faster than the speed of light.
The second reason is that it leads to paradoxes.
How can you possibly travel faster than the universal speed limit?
forward for sure, it the past that is still being looked into, look the work by Dr. Ron Mallett
yes we could if we could find warmholes in space