goldust
- 89
- 1
E = mc^2 results in c^2 = E / m, and division by 0 is undefined.
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.
PREREQUISITESPhysics students, educators, and anyone interested in the nuances of relativity and the behavior of massless particles in the context of modern physics.
Done.goldust said: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.
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.
goldust said:E = mc^2 results in c^2 = E / m, and division by 0 is undefined.
Not in general. Photons have momentum but 0 mass, and for massive objects momentum is unbounded as v approaches c.ModestyKing said:Yet momentum is m * v, mass times velocity.