During the formation of light, the energy is converted to a particle (mass) using E=mc2. But we know that photons do not have mass. What follows is a mathematical derivations

The particle has a momentum (p) defined by Planck’s constant (h) and wavelength ƛ as;

Screenshot (77)

From relativity we know that;

Screenshot (78)

From quantum mechanics energy is defined as;

Screenshot (93)

h is the Planck’s constant

f is the frequency of oscillation of a particle.


Screenshot (94)

Dividing all sides by C

Screenshot (95)

From wave mechanics:

Screenshot (96)

Substituting into the equation and doing the operation we get that;

Screenshot (79)

but mass by speed (MC) is momentum (p) hence

Screenshot (77)

From the wave mechanics equation above rearranging the equation gives us;

Screenshot (85)

Substituting p with the first equation, we find that

Screenshot (86).png

The derivation of this equation shows that the photon formed has only velocity mass is zero because from

Screenshot (90)

the value of f is zero because a photon is a wave packet that does not have a definite wavelength and therefore no frequency.

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2 thoughts on “WHY LIGHT HAS A MASS OF ZERO. By Elvince Ager

  1. I’m not great with math, but I think I was able to follow along with what you were doing. It’s nice to know that when physicists say photons don’t have mass, I don’t have to just take their word for it. The proof is there.


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