- #1
center o bass
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Hey! I'm trying to understand time dilation in terms of minkowski diagrams.
Below I've added a diagram showing the two coordinate systems where the primed one
moves relative to the unprimed one with a speed v.
http://mindseye.no/wp-content/uploads/2012/01/time1.png
My reasoning in this diagram is that when the observer in the unprimed system compares
the clock in the primed system with his own that corresponds to comparing the space-time coordinates with each other. He therefore assigns (t,x) while the primed observed assigns (t',0). Or in other words, as he sees t on his clock he simultaneously sees t' on the primed observers clock. But from my diagram it clearly seams like t' > t which is not consitent with the result that t = (gamma)t' > t; i.e the unprimed observer should see the moving clock run slow not vice versa.
What is wrong with my reasoning here?
Below I've added a diagram showing the two coordinate systems where the primed one
moves relative to the unprimed one with a speed v.
http://mindseye.no/wp-content/uploads/2012/01/time1.png
My reasoning in this diagram is that when the observer in the unprimed system compares
the clock in the primed system with his own that corresponds to comparing the space-time coordinates with each other. He therefore assigns (t,x) while the primed observed assigns (t',0). Or in other words, as he sees t on his clock he simultaneously sees t' on the primed observers clock. But from my diagram it clearly seams like t' > t which is not consitent with the result that t = (gamma)t' > t; i.e the unprimed observer should see the moving clock run slow not vice versa.
What is wrong with my reasoning here?
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