what is time dilation?
Hi there. That is a wonderful question. Time dilation arises out of Einstein's (and a few other great physicists) equations associated with special relativity. In essence, if the speed of light remains constant, then something else must be happening within V=d/t. Indeed, Einstein was able to show that space, and time, change their structure to keep V constant. Thus, time dilation is a change in the denominator of the equation that allows for a constant speed of light. In the context of GR, Einstein showed that time dilation is a direct effect of acceleration. Yet, the tensor descriptions he used, are probably over ridiculous for explaining the pedagogy of the concept. Just know this, as you approach a gravitational field, time slows down relative to someone farther away from that field. I hope that helps a bit.
A moving clock runs slower than a stationary one is a consequence of special relativity.
but a clock has a mechanism to move according to its motion of its clock hand, so how would it move slow when it is in motion..... how could it fails its mechanism
Special Relativity - a moving clock run slower. General Relativity - a clock will run slower in a strong gravitational field. Great speed and Stronger gravitational field both slow down clocks.
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