Where and when do length and time dilation occur in special relativity?

In summary, length and time dilation occur independently of each other according to other events, or as a relationship where one variable is related to another. There is no theoretical physical situation where each would occur separately, as they are dependent on the relative velocities of the objects being viewed. Lorentz contraction, also known as length contraction, is a result of Lorentz invariance, which means it stays the same under a Lorentz transformation. Lorentz himself was the first to propose the concept of length contraction and time dilation.
  • #1
chris_tams
18
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I understand the general theory of special relativity. But at what points do length and time dilation occur?

Independently of each other according to other events, or as relationsionship where one variable is related to another.

Is there a theoretical physicl situation where each would occur separately?
 
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  • #2
chris_tams said:
I understand the general theory of special relativity. But at what points do length and time dilation occur?

Independently of each other according to other events, or as relationsionship where one variable is related to another.

Is there a theoretical physicl situation where each would occur separately?

No you can't have Lorentz contarction without time dialtion or vice versa, otherwise spacetime wouldn't be Lorentz invariant (in which case we wouldn't even bother with spacetime). They are dependnet on the relative velocties of the object we are viewing.
 
  • #3
My knowledge doesn't stretch as far as "lorentz".

Anyone know what this is?
 
  • #4
If something is Lorentz invariant it measns that it stays the same under a Lorentz transformation. Lorentz contarction is just anothe rname for Length contraction. Lorentz himself was the man who first came up with the ideas of length contraction and time dialtion.
 

1. What is time dilation?

Time dilation is a phenomenon in which time appears to pass slower for an observer who is moving at a high velocity compared to an observer who is at rest. This is a consequence of Einstein's theory of relativity, which states that time and space are not absolute, but are relative to the observer's frame of reference.

2. How does time dilation occur?

Time dilation occurs because of the constant speed of light and the equivalence of all inertial frames of reference. As an object's velocity increases, time slows down for that object relative to a stationary observer. This is because the faster an object moves, the more energy is required to accelerate it, which causes time to slow down.

3. What is length dilation?

Length dilation is a phenomenon in which the length of an object appears to decrease for an observer who is moving at a high velocity compared to an observer who is at rest. This is also a consequence of Einstein's theory of relativity and is a result of the same principles as time dilation.

4. How does length dilation relate to time dilation?

Length dilation is a consequence of time dilation because the faster an object moves, the slower time appears to pass for it. This means that the distance traveled by the moving object in a given amount of time will appear shorter to an observer who is at rest. Therefore, length dilation and time dilation are interconnected.

5. Can time and length dilation be observed in real life?

Yes, time and length dilation have been observed in many experiments and have been proven to be true. For example, experiments involving atomic clocks on airplanes and satellites have shown that time passes slower for these objects than for clocks on the ground. This is due to the high velocity and gravitational forces experienced by these objects. Additionally, particle accelerators have also shown evidence of length dilation at high speeds.

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