Question of Relativity and the Speed of Light?

In summary: According to Einstein's theory of special relativity, time passes slower for an object traveling at high speeds relative to an object at rest. The equation for calculating this time dilation is τ=t√(1-β2), where τ is the time for the traveler, t is the time in the stationary frame, and β is the speed of the traveler as a fraction of the speed of light. It is not possible to travel at the speed of light or above, so the equation does not apply in those cases. This equation was first introduced by Einstein in his 1905 paper on special relativity. In summary, the equation for calculating time dilation is τ=t√(1-β2) where τ is the time for the
  • #1
WLatourelle
3
0
Is there an equation to figure out how much time would pass traveling light speed for 10 years relative to the person traveling? I know its less, but by how much exactly?
 
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  • #2
Yes, the equation is τ=t√(1-β2) where τ (tau) is the time for the traveler, t, is the time in the stationary frame, and β, beta, is the speed you want to travel as a fraction of the speed of light and can have a value from 0 up to but not including 1 (which is the speed of light). If you pick a speed of 1, then you get the same answer no matter what t is which doesn't make any sense. But pick any smaller value and you can use the equation. This equation was published by Einstein in his famous 1905 paper introducing Special Relativity near the end of section 4.
 
  • #3
ghwellsjr said:
Yes, the equation is τ=t√(1-β2) where τ (tau) is the time for the traveler, t, is the time in the stationary frame, and β, beta, is the speed you want to travel as a fraction of the speed of light and can have a value from 0 up to but not including 1 (which is the speed of light). If you pick a speed of 1, then you get the same answer no matter what t is which doesn't make any sense. But pick any smaller value and you can use the equation. This equation was published by Einstein in his famous 1905 paper introducing Special Relativity near the end of section 4.
Thank you, that is just what I was looking for. But just to be clear it doesn't make any sense to input the speed of light and above because it's thought impossible to reach, correct?
 
  • #4
Correct.
 

1. What is the theory of relativity?

The theory of relativity is a scientific theory proposed by Albert Einstein in the early 20th century. It explains the relationship between space and time, and how they are affected by objects with mass. It also introduces the concept of the speed of light being constant and the idea of gravity as a curvature of space-time.

2. How does the theory of relativity relate to the speed of light?

The theory of relativity states that the speed of light is constant, regardless of the observer's frame of reference. This means that no matter how fast an object is moving, the speed of light will always appear the same. It also suggests that the laws of physics should be the same for all observers, regardless of their relative motion.

3. Can anything travel faster than the speed of light?

According to the theory of relativity, nothing can travel faster than the speed of light. As an object approaches the speed of light, its mass increases and requires more and more energy to accelerate. At the speed of light, an object's mass would become infinite, making it impossible to move any faster.

4. How does the theory of relativity impact our understanding of the universe?

The theory of relativity has greatly impacted our understanding of the universe by revolutionizing our understanding of space, time, and gravity. It has also led to advancements in technology, such as GPS systems, that rely on the principles of relativity to function accurately.

5. Is there any evidence to support the theory of relativity?

Yes, there is a significant amount of evidence that supports the theory of relativity. One of the most famous examples is the observation of the bending of starlight during a solar eclipse, which confirmed Einstein's prediction that massive objects can bend the fabric of space-time. Additionally, numerous experiments and observations have consistently shown that the speed of light is constant in all frames of reference.

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