Hey, how predictable is a frame of reference going faster than c?

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SUMMARY

The discussion centers on the implications of traveling faster than the speed of light (c) in the context of special relativity and quantum physics. Participants highlight that transformations of special relativity break down at speeds equal to or greater than c, leading to theoretical constructs like tachyons, which possess imaginary mass. While tachyons are not explicitly forbidden by relativity, their existence could destabilize the quantum vacuum according to quantum field theory. The conversation emphasizes the need for a deeper understanding of tensor analysis and general relativity to fully grasp these concepts.

PREREQUISITES
  • Basic understanding of special relativity
  • Familiarity with quantum physics principles
  • Knowledge of tensor analysis
  • Introduction to quantum field theory
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  • Research the properties and implications of tachyons in theoretical physics
  • Study the mathematical foundations of tensor analysis
  • Explore the principles of general relativity and its limitations
  • Investigate the effects of hypothetical faster-than-light travel on quantum vacuum stability
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Students of physics, particularly those interested in quantum mechanics and relativity, as well as researchers exploring theoretical constructs in high-energy physics.

KillaMarcilla
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Yo, d00dz, I'm just starting an introductory quantum physics class, so this'll probably be childishly foolish to some of you, but the risk of sounding childish has yet to stop me from saying something on the internet

It seems like the transformations of special relativity just break down at speeds greater than or equal to c, so that maybe if you somehow happened to get to a speed faster than light without needing to go through the energetic asymptote in your way, you might be all set to go around faster than light as long as you want, until it comes time to skip down back below c

Or is there some way of verifying the impossibility without relying on empirical observations from down here, of the method of faster than light travel wherein one skips past c?

For some reason, any Physics book I've had so far has said that there's no way I could understand tensor analysis, and therefore couldn't possibly even begin to have any grasp of general relativity..
 
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Objects that would move faster than c would have imaginary masses (that is multiples of the square root of minus one). They have a name, tachyons. They are not forbidden in relativity itself, but experts on quantum field theory say the existence of tachyons would cause our quantum vacuum to decay, and we're all going to die! I don't know, some string and brane theories have tachyons in them so maybe they aren't the end of the world after all.
 
Well, the equations we've come up with so far would say they'd have imaginary masses and whatnot, but how likely do you think that really is? Would stuff like that really have to be the case?
 

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