With the help of a gravity assist from a black hole, can light travel faster than its natural light speed??
Satellites use gravity assistance. In a similar way can light traveling near black hole accelerate as well?
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No, nothing can move faster than the speed of light in a vacuum. There are no tricks around it (that we know of), for example if you fly around with speed
v in a spaceship and mount a lamp at the front, the speed of the light will not be
v+c. It will still be
c. That is actually why time passes at a different speed on fast-moving objects such as spaceships.
That being said, when talking about gravity assist you always need to talk about the frame of reference. From the view of the object you are doing a gravity assist with, you'll always have the same outgoing speed as incoming speed - that is basically how gravity assists work: From the frame of reference of the object you're swinging by, your speed does not change. But when viewed from a different frame of reference, your speed changes depending on the speed and direction of the object.