# Length contraction or Lorentz Contraction

As I understand it, Lorentz Contraction states an object "contracts" relative to it's velocity to an observer.

So at a high velocity of speed, the meter stick (carried by the object moving relative to the observer) appears to contract (to the observer) and the observer measures less distance traveled than the object.

This seems to counter time dilation.

If the object is measuring a larger distance traveled from A to B it would seem the object would would measure an increase in observed time, not a decrease.

If object is moving at .99C and it contracts the measured distance from A to B would increase for it, which would logically say would take more time.

How am I misinterpreting this? I know the object experiences less time but a greater distance? Huh?

Cheers!

Matterwave
Gold Member
The Object is measuring a smaller distance traveled from A to B. You see the object contract, the object sees you contract. It's symmetric. Always contraction of length, never dilation of length. Likewise, always dilation of time, never contraction of time.

Eh, my stupid brain...

The meter stick doesn't contract in it's own frame of reference. Should have guessed that!

I kind of get it now. So when time dilation occurs, the moving object experiences less space traveled because in it's frame it "time" was constant.

Wait.. is that why you can't get a frame at C? Because at C everything would exist in the same place at the same time?

.. is that why you can't get a frame at C? Because at C everything would exist in the same place at the same time?

Yes, I believe so. It requires an outside observer with a lower relative velocity to see light as traversing a distance.

Nugatory
Mentor
To work through these questions properly, you need to consider the relativity of simultaneity as well as time dilation and length contraction. When someone says "This rod is one meter long" they're being a bit sloppy in their wording - it would be more precise to say "I found where the two ends of the rod were at the same moment, and then I measures the distance between those two points, and found them to be one meter apart".

Note that this definition does not assume that the rod is at rest relative to the person making the measurement. It also makes it clear that, because observers moving relative to each other have different definitions of "at the same moment", they will measure different lengths.