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

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SUMMARY

The discussion centers on the implications of Einstein's equation E = mc², particularly in relation to massless particles like photons. It clarifies that while E = mc² applies to particles in their rest frame, the more general equation E² = (m₀c²)² + (pc)² accommodates massless particles with zero rest mass (m₀) but non-zero momentum (p). The conversation highlights the undefined nature of division by zero in this context and emphasizes the distinction between rest mass and total mass in relativistic physics.

PREREQUISITES
  • Understanding of Einstein's equation E = mc²
  • Familiarity with the concepts of rest mass (m₀) and momentum (p)
  • Knowledge of Special and General Relativity principles
  • Basic grasp of the implications of massless particles in physics
NEXT STEPS
  • Study the general equation E² = (m₀c²)² + (pc)²
  • Explore the concept of momentum in relativistic physics
  • Review the Relativity FAQ subforum for deeper insights
  • Investigate the implications of massless particles on the nature of light and energy
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Physics students, educators, and anyone interested in the nuances of relativity and the behavior of massless particles in the context of modern physics.

goldust
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E = mc^2 results in c^2 = E / m, and division by 0 is undefined.
 
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Oops, my bad. Should be in the Special & General Relativity section.
 
goldust said:
Oops, my bad. Should be in the Special & General Relativity section.
Done.
 
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 also equals FD: so how can force or distance ever be 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?
 
goldust said:
E = mc^2 results in c^2 = E / m, and division by 0 is undefined.

Please read the Relativity FAQ subforum.

https://www.physicsforums.com/forumdisplay.php?f=210

Zz.
 
Last edited by a moderator:
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.
 

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