Faster than the speed of light?

In summary, the conversation discussed the concept of traveling faster than the speed of light and how it relates to Einstein's theory of relativity. It was explained that according to the theory, it is not possible for matter to travel at the speed of light. Tests of relativity have been conducted, such as measuring the perihelion of Mercury, to support its principles. The article mentioned in the conversation was found to be partially true and partially false, as it discussed non-locality and the concept of "faster" in relation to quantum entanglement. Ultimately, it was concluded that understanding GR is best achieved by looking at its principles rather than just the famous equation E=mc^2.
  • #1
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Faster than the speed of light??

As I understand it, according to GR, E is directly proportional to M. Therefore hypothetically speaking, if one did have an unlimited supply of E to enable matter to travel as fast as C, M would become infinite, and travel would not be possible.

However if one wanted to isolate M from the E=MC2 equation, would it not be re-written as M = C2\E, thus making M infinitely small? Please correct me if I am wrong here!

Also, what experiments have been carried out to support GR and exactly how fast has matter traveled to date?

Finally, again hypothetically speaking, with an unlimited energy supply available, would one be able to transport space around the matter so theoretically the matter would be stationary and the space around it would be traveling as fast as C.
 
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  • #2
First, your algebra is simply wrong. E = mc^2 implies m = E/c^2. When we speak of the mass of an electron as 511 keV, we really mean 511 keV/c^2, but GR folk (and particle physicists) take the value of c to be unity so that m = E = 511 keV.

I can't speak to how fast matter has travelled, but I would imagine it's really close to c in high energy electron accelerators.
 
  • #3
As far as tests of relativity go, I would suggest http://math.ucr.edu/home/baez/physics/Relativity/SR/experiments.html

The OP would be well advised to forget about asking "what happens if you travel at the speed of light". It can't happen according to relativity, and speculating about it is as fruitless as dividing by zero in mathematics.

A relevant faq on this frequently asked question is:

http://math.ucr.edu/home/baez/physics/Relativity/SpeedOfLight/headlights.html

which I'll quote in part:

I am driving my car at the speed of light and I turn on my headlights. What do I see?

Sadly this question and all others about experiences at the speed of light do not have a definitive answer. You cannot go at the speed of light so the question is hypothetical. Hypothetical questions do not have definitive answers. Only massless particles such as photons can go at the speed of light.
 
  • #5
That article is true and not true at the same time, reminds me as QM statement :P.

What we know so far is that "locally" nothing can violate Special Relativity statement that nothing can travel faster than the speed of light in vacuum.

But the deal comes with physics on "non locality", the idea of velocity or speed as a measure of the displacement rate from place to another loses all its concepts.

You can imagine a quantum entaglement as a pair of particles or waves that have a mutual past, and if you somehow modified those particles the "information about quantum states" goes "instantly" to the other particle or wave.

So the false statement is the thing they call "faster" i think that is just bias for making attention on that site :P, since there is no concept like that for non locality.

Well there are so many tests of General relativity and the most traditional that everyone has done in class is the seconds of arc of Mercury perihelion.

One more thing, i think GR is best looked by its principles rather than that result of equation, as analogy is like saying all Newtonian dynamics are just f=ma and we forgot everything else..., at leaft we need the 3 laws and action or lagrangian or hamiltonian for that.

I better think GR is well described as "matter curves spacetime and spacetime deforms matter"
 

FAQ: Faster than the speed of light?

How is it possible for anything to be faster than the speed of light?

The speed of light, also known as c, is the fastest speed that any object can travel in the universe. This speed is considered to be a fundamental constant and is a crucial part of our understanding of the laws of physics. According to the theory of relativity, it is impossible for any object with mass to reach or exceed the speed of light. However, there are some theoretical concepts, such as wormholes and warp drives, that suggest the possibility of faster-than-light travel. These concepts are still highly speculative and have not been proven to exist in reality.

Can anything travel faster than the speed of light?

As mentioned before, according to our current understanding of the universe, it is not possible for any object with mass to travel faster than the speed of light. However, there are some particles, such as photons, that do not have mass and can travel at the speed of light. In some cases, these particles can appear to travel faster than the speed of light due to certain phenomena, such as refraction or the bending of light by gravity. But ultimately, the speed of light remains the maximum speed limit for anything with mass.

What would happen if something did travel faster than the speed of light?

If an object with mass were to somehow exceed the speed of light, it would violate the principles of causality, which state that causes must always precede their effects. This would lead to some paradoxes and contradictions in our understanding of space and time. Additionally, as an object approaches the speed of light, its mass increases infinitely, making it impossible to reach the speed of light itself. This is known as the mass-energy equivalence, as described by Einstein's famous equation: E=mc^2.

Has anything ever been observed to travel faster than the speed of light?

No, nothing has ever been observed to travel faster than the speed of light in a vacuum. However, there have been some experiments that have shown particles, such as neutrinos, appearing to travel faster than the speed of light. These results were later found to be due to experimental errors and have not been replicated. Until there is solid, reproducible evidence, it is safe to say that nothing has been observed to travel faster than the speed of light.

Could the speed of light change in the future?

Our current understanding of the laws of physics suggests that the speed of light is a fundamental constant that cannot be changed. However, there are some theories, such as string theory, that propose the existence of extra dimensions and the possibility of the speed of light being different in those dimensions. These ideas are still highly speculative and have not been proven or observed in any way. For now, the speed of light remains a constant and a crucial part of our understanding of the universe.

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