Originally posted by James R
zion:
<i>As my understanding goes, when two balls are thrown one with a high velocity and other with less,both will have same trajectory in space-time coordinates,c-t coordinates.this means that light has curved path(ALWAYS)in c-t coordinates,space-time coordinates,its just that it is too fast to see.</i>
IF two balls have different speeds, their spacetime trajectories (called <i>worldlines</i>, by the way) will be different.
What are c-t coordinates? You're graphing what against what? Distance against time, perhaps? In that case, in Euclidean spacetime light will always have a straight line worldline.
Actually i took the whole idea from general theory of relativity.
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the fight of two balls can be represented in two dimensions,now we can use the third dimension as space time.they both assumedly advance in X-axis.both the balls will have the same curavture in space time.the earth has caused a curved dimple in nearby space-time.each is following a geodesic.neither of them is experiencing the gravititional force,each is doing what comes naturally,in a curved space.
we usually tend to think abou light travelling in straight lines,but general theory of relativity disproves the fact.here's how.
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according to theory of relativity(general)the effect is only due to the fact that light travels a hell lot faster.the flash of light to origin to the landing place of the balls would be so quick thats its path would be indistinguishable from the X-axis itself.the curvature of it in space-time would be same as that of balls.,thus paths of balls and beams of light are geodesics in space time curved by earth.any further clarifications and comments would be welcome.
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bye!