Problem caused by length contraction and relativity and personal expla

In summary, according to the above poster, because photons do not have mass, they can create spacetime curvature which would cause the distance between the galaxy and the photon to be smaller than if the photon had mass. However, this effect can be explained by the General Theory of Relativity.
  • #1
Brucezhou
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The problem has been shown in the picture. Because of relativity, both the guys on the ground and on the vehicle would observe length contraction. So the destination of the guy on the vehicle---the galaxy, would be more closed to him. If the vehicle is replaced with the light, which means the distance between the photons and the galaxy would be 0 based on the formula of Lorentz's Transformation. But if this was possible, we can't measure the c=3000000000m/s, since the light can reach where we are immediately without time passes.Personal Explanation1:
To solve such problem, I think the key is that photons do not have mass. So when the they speed up to c, their mass is still 0. Based on General Theorem Of Relativity, the space will not warp and no time dilation will be observed.
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  • #3
Brucezhou said:
The problem has been shown in the picture. Because of relativity, both the guys on the ground and on the vehicle would observe length contraction. So the destination of the guy on the vehicle---the galaxy, would be more closed to him. If the vehicle is replaced with the light, which means the distance between the photons and the galaxy would be 0 based on the formula of Lorentz's Transformation. But if this was possible, we can't measure the c=3000000000m/s, since the light can reach where we are immediately without time passes.Personal Explanation1:
To solve such problem, I think the key is that photons do not have mass. So when the they speed up to c, their mass is still 0. Based on General Theorem Of Relativity, the space will not warp and no time dilation will be observed. View attachment 64204

Agreeing with the above poster, but to clear up another misconception, time dilation isn't due to the warping of spacetime but rather to the Lorentzian character of flat spacetime.
 
  • #4
Psychosmurf said:
Agreeing with the above poster, but to clear up another misconception, time dilation isn't due to the warping of spacetime but rather to the Lorentzian character of flat spacetime.

Ok, thanks
 
  • #5
Brucezhou said:
I think the key is that photons do not have mass. So when the they speed up to c, their mass is still 0. Based on General Theorem Of Relativity, the space will not warp and no time dilation will be observed. View attachment 64204

In GR, spacetime curvature is "caused" by energy and momentum, via the stress-energy tensor. Mass is only one form of energy. Photons do not have mass, but they do have energy and momentum, therefore they can create spacetime curvature.
 
  • #6
Hi Bruce:

which means the distance between the photons and the galaxy would be 0 based on the formula of Lorentz's Transformation.

Any photons must travel at 'c' in the local frame. Also, the Lorentz transform only applies where relative speed between frames [observers] is less than 'c'. edit: in the absence of gravity...no curvature of spacetime...

since the light can reach where we are immediately without time passes.

the speed of light is always 'c'..never 'instantaneous'...
photons do not have mass.

as already posted, that is correct.
So when the they speed up to c...

photons always move at 'c' in free vacuum space...So, for example, a photon emitted from an electron orbital begins at speed 'c'...and stays that way.
 
Last edited:
  • #7
jtbell said:
In GR, spacetime curvature is "caused" by energy and momentum, via the stress-energy tensor. Mass is only one form of energy. Photons do not have mass, but they do have energy and momentum, therefore they can create spacetime curvature.

But how to explain that phenomenon
 
  • #8
But how to explain that phenomenon

John Wheeler explains it this way:

Mass+ tells spacetime how to curve; spacetime tells mass how to move."

+ ...or energy or momentum
 
  • #9
time dilation isn't due to the warping of spacetime but rather to the Lorentzian character of flat spacetime.

careful here ...gravitational time dilation exists:

Two things affect the relative passage of time for different observers: relative speed as in special relativity [and associated length contraction] and in GR, relative gravitational potential.
So in GR, for example, a clock in the bottom a building ticks more slowly relative to a local clock in the top of the building.

http://en.wikipedia.org/wiki/Hafele–Keating_experiment#Gravitational_time_dilation
 
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  • #10
Brucezhou said:
But how to explain that phenomenon
No scientific theory explains anything. GR is like a good map, it helps us move about in a terrain and predicts what we will see at different places. It is not trying to explain anything.

I could give you a good explanation of why water boils in terms of atoms, heat, and so on. But then you could ask me to explain 'atoms' and we're back to square one.
 

FAQ: Problem caused by length contraction and relativity and personal expla

What is length contraction and how does it relate to relativity?

Length contraction is a phenomenon in which an object appears shorter in the direction of its motion when observed from a different frame of reference. This is a consequence of the theory of relativity, which states that the laws of physics are the same for all observers in uniform motion.

How does length contraction affect measurements and calculations in physics?

Length contraction can affect measurements and calculations in physics by changing the perceived size of an object, which can impact the results of experiments and calculations. It also plays a crucial role in the understanding of time dilation and the concept of simultaneity.

Can length contraction be observed in everyday life?

While length contraction is a fundamental aspect of relativity, it is not noticeable in everyday life due to the relatively small speeds at which we typically move. However, it can be observed and measured in high-speed experiments, such as those conducted at particle accelerators.

How does length contraction differ from time dilation?

Length contraction and time dilation are two sides of the same coin in the theory of relativity. While length contraction refers to the shortening of an object in the direction of its motion, time dilation refers to the slowing down of time for an object in motion. Both are consequences of the theory of relativity and are interrelated.

How does relativity change our understanding of space and time?

The theory of relativity revolutionized our understanding of space and time by showing that they are not absolute, but instead are relative to the observer's frame of reference. It also introduced the concept of spacetime, in which space and time are intertwined and cannot be considered separately.

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