greater altitude transaltes to slower or faster time (according to relativity)? why? is it related to gravity? does it change in function to the distance squared just like gravity? also if an object goes faster, time goes faster or slower? are the length or size dimensions of the object distorted as well? does it have something to do with energy or momentum?
Time slows down as you get closer to a source of strong gravitational field. If you were to fall into a black hole, you reach a point where time stops altogether. In the situation of less gravity, like Earth, and slow speed (much slower than the speed of light) the relativity equations can be reduced to Newtonian gravitation with the 1/r^2 ... I'm not sure it time slowing down also has that relation.
Your other questions are related to Special Relativity. When something goes faster, time slows down and lengths contract. This has to do with the speed of light being constant. If you throw a ball forward out the window of a car, the ball will have the combined velocity of the car and your throw. If you shine a flashlight forward out the window of a car, light will travel at the same speed no matter how fast or slow the car goes. To make up the discrepancy, time slows down and lengths contract so light ends up arriving at the same time as if you were standing still when you turned on the flashlight.
remember this"the observed rate at which time passes for an object depends on the object's velocity relative to the observer and also on the strength of gravitational fields, which can slow the passage of time." Until the beginning of the 20th century, time was believed to be independent of motion, progressing at a fixed rate in all reference frames; however, later experiments revealed that time slowed down at higher speeds of the reference frame relative to another reference frame (with such slowing called "time dilation" explained in the theory of "special relativity"). Many experiments have confirmed time dilation, such as atomic clocks onboard a Space Shuttle running slower than synchronized Earth-bound inertial clocks and the relativistic decay of muons from cosmic ray showers. The duration of time can therefore vary for various events and various reference frames
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