Flash of light thought experiment, need explanation

In summary, when a photon is emitted in frame K at position x_1 and absorbed at position x_2 in K, the total distance traveled is L. However, in frame K' moving at velocity Beta*c, the distance traveled by the photon is different than L due to the Lorentz transform parameter. This means that in order to maintain the constant speed of light, the time and distance intervals must be adjusted in K'. This concept can be difficult to understand, but it is necessary for the constant speed of light to hold true.
  • #1
marmot
55
1
So suppose in frame K at x_1 a photon is emmited and its absorbed at x_2= x_1+L so, the photon in K has traveled a total distance of L. Now suppose we have frame K' moving at some velocity Beta*c. Why is it that in K' the distance traveled by the photon is different than L if the speed of light is constant? I did this problem and got that. I am scratching my head at this.
 
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  • #2
Because in K', the distance the photon traveled and the time in which it traveled are shorted by the same multiplier- the Lorentz transform parameter.
 
  • #3
I think that makes sense. So you need to fudge the time and distance interval so that the speed of light is constant, right?
 

1. What is the flash of light thought experiment?

The flash of light thought experiment is a hypothetical scenario used to illustrate the concept of time dilation in special relativity. It involves two observers, one stationary and one moving at a high speed, observing a flash of light at the same time.

2. What is the purpose of the flash of light thought experiment?

The purpose of this thought experiment is to demonstrate how time can appear to pass at different rates for different observers depending on their relative velocities. It helps to illustrate the concept of time dilation and how it affects our perception of time.

3. How does the flash of light thought experiment relate to Einstein's theory of relativity?

The flash of light thought experiment is based on one of the fundamental principles of Einstein's theory of special relativity, which states that the laws of physics are the same for all observers moving at constant speeds. It helps to illustrate the implications of this principle on our understanding of time and space.

4. Can the flash of light thought experiment be proven in real life?

While it is not possible to recreate this exact scenario in real life, the effects of time dilation have been observed and confirmed through experiments involving high-speed particles and atomic clocks. The flash of light thought experiment serves as a useful thought experiment to conceptualize these effects.

5. What are the limitations of the flash of light thought experiment?

The flash of light thought experiment is a simplified scenario that does not take into account all the complexities and variables of real-life situations. It also assumes that the two observers have perfect synchronization and can accurately perceive the flash of light at the same time. Additionally, it only applies to objects moving at constant speeds and does not take into account acceleration or gravity.

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