Time dilation, length contraction, but velocity invariant

Thread starter Kairos
Start date Jun 15, 2015
Tags

Contraction Dilation Invariant Length Length contraction Time Time dilation Velocity

In summary: Einstein on the inside. In summary, the moving object calculates the distance from A to B as d/γd/\gamma and the time as t/γt/\gamma, so it calculates the speed as v=d/tv = d/t.

Jun 24, 2015

Stephanus

Ibix said:

I marked London with a red dot; it has different coordinates in each map - something like (1.5,-4.25), (-4.25,-1.25) and (4.9,-1.5). I could write down a mathematical relationship between the coordinates of any point in one map and its coordinates in another; that would be the way to transform coordinates between those two frames.

Thank you very much for you effort to help me understanding Space Time diagram.

<h2>1. What is time dilation and how does it work?</h2><p>Time dilation is a phenomenon in which time appears to pass slower for an object moving at high velocities compared to an object at rest. This is due to the fact that the speed of light is constant and time and space are relative, meaning they can change depending on the observer's frame of reference. As an object approaches the speed of light, time slows down for that object relative to an observer at rest.</p><h2>2. How does length contraction occur?</h2><p>Length contraction is a result of the theory of relativity, which states that the length of an object appears to be shorter when it is moving at high velocities compared to an observer at rest. This is because the faster an object moves, the more it compresses along its direction of motion. This phenomenon is only noticeable at speeds close to the speed of light.</p><h2>3. Can time dilation and length contraction occur simultaneously?</h2><p>Yes, time dilation and length contraction are two sides of the same coin and can occur simultaneously. As an object moves at high velocities, both its time and length appear to change for an observer at rest. However, these effects are relative and depend on the observer's frame of reference.</p><h2>4. How does time dilation affect the aging process?</h2><p>Time dilation can affect the aging process by slowing down time for an object moving at high velocities. This means that an object traveling at near-light speeds will age slower compared to an object at rest. This phenomenon has been observed in experiments involving atomic clocks and has significant implications for space travel and the concept of time.</p><h2>5. Is velocity invariant in all frames of reference?</h2><p>Yes, according to the theory of relativity, the speed of light is constant and is the same in all frames of reference. This means that no matter how fast an object is moving, the speed of light will always be the same for all observers. This concept is known as the principle of relativity and is a fundamental principle of modern physics.</p>

1. What is time dilation and how does it work?

Time dilation is a phenomenon in which time appears to pass slower for an object moving at high velocities compared to an object at rest. This is due to the fact that the speed of light is constant and time and space are relative, meaning they can change depending on the observer's frame of reference. As an object approaches the speed of light, time slows down for that object relative to an observer at rest.

2. How does length contraction occur?

Length contraction is a result of the theory of relativity, which states that the length of an object appears to be shorter when it is moving at high velocities compared to an observer at rest. This is because the faster an object moves, the more it compresses along its direction of motion. This phenomenon is only noticeable at speeds close to the speed of light.

3. Can time dilation and length contraction occur simultaneously?

Yes, time dilation and length contraction are two sides of the same coin and can occur simultaneously. As an object moves at high velocities, both its time and length appear to change for an observer at rest. However, these effects are relative and depend on the observer's frame of reference.

4. How does time dilation affect the aging process?

Time dilation can affect the aging process by slowing down time for an object moving at high velocities. This means that an object traveling at near-light speeds will age slower compared to an object at rest. This phenomenon has been observed in experiments involving atomic clocks and has significant implications for space travel and the concept of time.

5. Is velocity invariant in all frames of reference?

Yes, according to the theory of relativity, the speed of light is constant and is the same in all frames of reference. This means that no matter how fast an object is moving, the speed of light will always be the same for all observers. This concept is known as the principle of relativity and is a fundamental principle of modern physics.