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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 [Broken]

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 eachother. 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 [Broken]

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 eachother. 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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