Faster than the speed of light?

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Discussion Overview

The discussion revolves around the concept of traveling faster than the speed of light, exploring implications of General Relativity (GR) and Special Relativity (SR). Participants examine hypothetical scenarios regarding energy, mass, and the nature of speed in the context of relativity, while also referencing experimental evidence related to these theories.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant suggests that if energy is unlimited, mass would become infinite, making travel at the speed of light impossible, while questioning if mass could be isolated from the equation E=mc².
  • Another participant corrects the algebra presented, stating that mass is derived from energy divided by the speed of light squared, and mentions that matter has likely traveled close to the speed of light in high-energy accelerators.
  • A third participant advises against speculating about traveling at the speed of light, emphasizing that such scenarios are hypothetical and lack definitive answers according to relativity.
  • One participant shares a link to an article discussing faster-than-light travel, indicating mixed validity in the claims made.
  • Another participant discusses the concept of non-locality in quantum mechanics, suggesting that while nothing can locally exceed the speed of light, information can be transmitted instantaneously between entangled particles, complicating the discussion of speed.
  • One participant references traditional tests of GR, such as the perihelion precession of Mercury, and emphasizes understanding GR through its principles rather than just its equations.

Areas of Agreement / Disagreement

Participants express differing views on the implications of relativity regarding faster-than-light travel. While some assert that nothing can exceed the speed of light, others explore hypothetical scenarios and the nuances of quantum mechanics, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants highlight limitations in understanding the implications of relativity, particularly regarding hypothetical scenarios and the definitions of speed in non-local contexts. There is also an acknowledgment of the complexity surrounding mass-energy equivalence and its interpretations.

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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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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.
 
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.
 
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"
 

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