# 1 = v^2 + t^2? and look at spacetime as velocity as x axis, time as y axis.

1. Jan 12, 2012

### darkhorror

I am not so sure how to explain this. But when looking at sqrt( 1 - v^2/c^2 ) for time dilation. It seems to follow that you may be able to think about it as 1 = v^2 + t^2 if look at v as fraction of c, and t as the amount a clock will be dilated.

Then you could think about it in your frame of reference that all objects are moving at 1 through spacetime. If the velocity of an object gets larger then that just means that the t gets smaller.

2. Jan 12, 2012

### ghwellsjr

3. Jan 13, 2012

### HotBuffet

I think it's more like sqrt(x^2 + y^2 + z^2 + t^2) = 1
4 dimensional law of pythagoras, using space and time.

next step is using this to understand / work out a twin paradox :)

4. Jan 13, 2012

### Staff: Mentor

that should be a - t^2 right?

5. Jan 13, 2012

### elfmotat

Do you mean s2=-t2+x2+y2+z2 ? The OP wasn't talking about the interval. He was talking about the relationship between time dilation and velocity.