Re: Positrons

"Paul.B.Andersen" <relativity@paulba.no> wrote or quoted:

E_1 = E_0 "Energy is conserved"
p_1 = p_0 "momentum is conserved"
m_1 < m_0 "mass is converted into energy"

Please explain why these three assumptions are not compatible with:
e⁺ + e⁻  →  γ + γ

  Well, "energy", "momentum", and "mass" are /vague terms/. One needs
  to specify the energy (momentum, mass) /of what/ one refers to.

  If one would try to correct the vagueness of "mass is converted into
  energy" by saying, "the mass of 'γ + γ' is smaller than the mass
  of 'e⁺ + e⁻'" (thereby saying "of what"), then this would be wrong.

m₀ = 2m, m₁ = 0

  Well, this is the same point: It's too vague because the system
  is not specified. The mass of what system is "m_0"? The mass of
  what system is "m_1"? So, to quote Dirac, it's not even wrong!

  But, if I assume that m_0 is the mass of "e⁺ + e⁻", then it's
  wrong, because when they move in their COG system m_0 > 2m
  (assuming m to be the mass of an e⁺ or e⁻ in its COG system)
  if they are moving with a non-zero speed in the COG.

  And m_1 surely is larger than 2*0 (two times the mass of
  a photon). For one illustration: The mass of a gluon is 0.
  Yet the kinetic energy of gluons make up for 37 percent of the
  /mass/ of a proton. You don't get this value of .37*m_p if you
  take the mass of each gluon in isolation and then sum them up.

  No, wait, it was Pauli, not Dirac!