E = mc^2, so how can anything have zero mass?

  • Context: Undergrad 
  • Thread starter Thread starter goldust
  • Start date Start date
  • Tags Tags
    Mass Zero
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
8 replies · 2K views
goldust
Messages
89
Reaction score
1
E = mc^2 results in c^2 = E / m, and division by 0 is undefined.
 
Physics news on Phys.org
Oops, my bad. Should be in the Special & General Relativity section.
 
goldust said:
E = mc^2 results in c^2 = E / m, and division by 0 is undefined.

##E=mc^2## is a special case of the more general ##E^2=(m_0{c}^2)^2+(pc)^2##. The massless particles have ##m_0## equal to zero but ##p## non-zero.
 
E = mc^2 only applies in the special case where the particle in question is in its rest frame. Photons do not have a rest frame.
 
Nugatory said:
##E=mc^2## is a special case of the more general ##E^2=(m_0{c}^2)^2+(pc)^2##. The massless particles have ##m_0## equal to zero but ##p## non-zero.

The 'p' in that is momentum, correct?
Yet momentum is m * v, mass times velocity. I understand that photons have a velocity of c, but their mass...? If you use the argument that it isn't talking about rest mass, but total mass, then isn't it sort of circular logic?
 
ModestyKing said:
Yet momentum is m * v, mass times velocity.
Not in general. Photons have momentum but 0 mass, and for massive objects momentum is unbounded as v approaches c.