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Originally Posted by pgrmdave
If mass increases with velocity, doesn't that mean that velocity has to be absolute?
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That's a misunderstanding that arises every day due to the poor way that much popular gossip explains why lightspeed is the cosmic speed limit. It is widely touted that a spacecraft cannot accelerate to lightspeed because it gets heavier and heavier at speeds approaching c. There
is a kernel of truth to relativistic mass increase, but like everything else under Relativity, it depends entirely on the observer's vantage. Therefore, relativistic mass increase can
NOT make for a satisfactory explanation of why a
rocket propelled craft is unable to achieve lightspeed, since the thrust originates in the rocket's very own rest frame.
High relative speed is NO barrier to rocket propulsion whatsoever. The real reason that a spacecraft cannot achieve lightspeed is due to the unusual way that velocities add.
On the other hand, it
is pertinent to ascribe relativistic mass increase as the impediment preventing a charged particle in a particle accelerator from reaching the taboo speed. Why?? because those particles are being pushed along by electromagnetic field-producing coils positioned in the (relatively) stationary
lab frame. From the viewpoint of that frame, the mass increase to the speeding particle becomes perfectly germane.
I hope this is all understood.