Constant acceleration approach? =/

In summary, the blog post discusses the concept of effectively faster than light travel in the context of special relativity theory. The author argues that while special relativity states that the speed of light is constant in all reference frames, it is possible to achieve faster than light travel in a mixed-reference frame perspective. However, this perspective is based on a misunderstanding of special relativity and does not take into account the effects of length contraction and time dilation. The author also mentions the use of general relativity in situations involving acceleration. Ultimately, the post concludes that there is no perspective from which an observer can see light traveling faster than the speed of light.
  • #1
Smiles302
27
0
Link to guy's blog post: http://ftlfactor.com/2011/04/23/how-does-special-relativity-allow-effectively-faster-than-light-travel/#comment-117

He says he has a PhD in space physics.

My understanding of special relativity was that the speed of light is always constant no matter what reference frame you are observing from. That's correct yeah?

he says:

According to Special Relativity theory, neither an Earth-based observer nor a traveling observer can ever measure that the traveler travels faster than light speed. This is the headline that is generally known. However, if you look at the whole trip to a another star something interesting happens. Assuming that trip distance is measured at both ends of the trip, the distance will be measured in approximately the Sun’s reference frame so that the Lorentz contraction factor is approximately 1 and length contraction is insignificant. If the traveler considers his or her own experience, then the traveler’s time measurement is the important one and assuming relativistic speeds are reached the Lorentz contraction factor varies from 1 and time dilation is significant. It is in this mixed-reference frame perspective that Special Relativity theory allows travel at effectively faster than light speed.

Does he have special relativity wrong? Or is this any way possible?

I haven't studied general relativity but I thought you had to use general relativity if you were dealing with acceleration?
 
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  • #2
He has SR wrong, but he apparently knows that because he calls it a "mixed-reference frame perspective". I'm sure he is aware that for the traveler, length contraction is just as significant as time dilation and so the traveler measures his speed exactly the same as an Earth or star based observer would, something less than the speed of light.

SR handles acceleration perfectly well. GR is for situations involving gravity.
 
  • #3
So from what perspective would an observer see light traveling faster than the speed of light?
 
  • #4
Smiles302 said:
So from what perspective would an observer see light traveling faster than the speed of light?
From no perspective. As he clearly says his comments refer to a "mixed-reference frame perspective", specifically taking the distance from the Earth's perspective and the time from the traveller's perspective.
 
  • #5
When you divide the external observer's distance by the traveller's time, you get something called "celerity" (also known as "proper velocity", a term I don't like). It turns out that the celerity of light is infinite, so there's no "faster than light" travel involved, even though the celerity of an object can exceed the velocity of light. You have to compare like with like, velocity with velocity or celerity with celerity.
Smiles302 said:
So from what perspective would an observer see light traveling faster than the speed of light?

All observers always measure the local speed of light (i.e. light passing very close to the observer) as c, but non-inertial observers may measure the "remote" speed of light to be some other value, larger or smaller.
 

1. What is constant acceleration approach?

The constant acceleration approach is a method used to solve problems involving motion under constant acceleration. It assumes that the acceleration of an object remains constant throughout its motion.

2. How is constant acceleration calculated?

Constant acceleration can be calculated by dividing the change in velocity by the change in time. The formula for constant acceleration is a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

3. What are some real-world examples of constant acceleration?

Some real-world examples of constant acceleration include objects falling towards the Earth due to gravity, a car accelerating at a constant rate on a straight road, and a roller coaster moving along a track with a constant slope.

4. How does constant acceleration differ from variable acceleration?

Constant acceleration is when the acceleration of an object remains the same throughout its motion, while variable acceleration is when the acceleration changes at different points during the motion of an object.

5. What are the key equations used in the constant acceleration approach?

The key equations used in the constant acceleration approach are the equations of motion: vf = vi + at, d = vit + 1/2at^2, and vf^2 = vi^2 + 2ad. These equations can be used to solve for the final velocity, displacement, and acceleration of an object in motion under constant acceleration.

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