LCSphysicist
Homework Statement:
I am a little confused with the concept of proper time
Relevant Equations:
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I am a little confused with the concept of proper time: Using the invariance of the distance square in the Minkowski space, we can get the expression ##d \tau = \frac{d t}{ \gamma}## Now the problem:

Aren't the proper time the time measured by a moving clock? That is, if i am moving with speed v and carries with me a clock, "my" proper time is the time elapsed in my clock, right?

But, to the best of my knowledge, the time elapsed in a moving frame shouldn't be dilated? The so called time dilatation, so why the proper time in the expression above is lesser than the coordinate time?

The expression above has a special frame?