let assume we are in spacecraft travelling in speed of light , droplet of ink drops in a cup of water ..theoritcally Time stops !
what is the behaviour of the droplet when it hits the water ?
Aissa,
Since we can never be in a frame that is perceived to have a relative speed of c, we'll presume that you are, instead, in a terribly fast ship moving at 0.99c with respect to some other observer.
For you, in this speedy ship, all is normal. The drop of ink disperses as usual. The clock ticks steadily at one second per second.
Entropy for you is unchanged.
If you now want to consider how you appear to a (relatively) fast moving observer, that's another matter.
According to relativity
Time stops in speed of light, does'nt it ?
Aissa,
No, recall there are two postulates - the speed of light is constant for all observers, and physics is unchanged in any inertial frame.
For the fast moving occupant of the ship, all is well.
Sure, the outside cosmos is strangely distorted (blue stars ahead, red behind - and squeezed into a peculiar ring) but onboard, life is normal*. If the ship's occupant looks at a planet through a telescope as it whizzes past, they'll see the occupants of that world strangely slowed - and distorted.
And likewise, the astronomers on that world will see that time passes more slowly on that ship as it flashes past.
What about the external observer.. How will he sees the droplet ??
Aissa,
They see that droplet mixing more slowly as the ship passes.
Heck, they see everything happening more slowly onboard the ship as it passes.
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