If an imaginary quasiparticle has a mass depending on speed

[Noduagga]

...becoming infinite at rest, doesn't that mean it has infinite mass whatever velocity it has?

How could that quasiparticle be at rest to achieve infinite mass?

 

[mathman]

Your scenario has no physical basis. There is no way to answer your question.

 

[PeterDonis]

What do you mean by "an imaginary quasiparticle becoming infinite at rest"? What source are you getting this from?

 

[DrDu]

Mass is defined as the energy a particle has, when it is at rest. Therefore, it makes no sense to speak of a velocity dependent mass.