Using these equations I am about to prove that photons have a rest mass of zero (mathematically)(adsbygoogle = window.adsbygoogle || []).push({});

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E=hc/λ Photon Energy Equation

E^{2}=(pc+mc^{2})^{2}Mass-Energy Equivalence with Momentum Equation

p=h/λ Momentum of a Photon Equation

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Set the First 2 equations equal to eachother...

E=hc/λ ------------------------------------------------> E^{2}=(pc+mc^{2})^{2}

(hc/λ)^{2}=(pc+mc^{2})^{2}

h^{2}c^{2}/λ^{2}=p^{2}c^{2}+m^{2}c^{4}

{h^{2}c^{2}/λ^{2}}/c^{2}={p^{2}c^{2}+m^{2}c^{4}}/c^{2}

h^{2}/λ^{2}= (p^{2}c^{2}/c^{2})+(m^{2}c^{4}/c^{2})

h^{2}/λ^{2}=(p^{2})+(m^{2}c^{2})

(h/λ=p+mc)^{2}

[mc=(h/λ)-p]^{2}

[mc(1/c)=(h/λ)(1/c)-p(1/c)]^{2}

[m=(h/λc)-(p/c)]^{2}

(Enter in the Momentum of a Photon Equation)

{m=(h/λc)-[(h/λ)/c]}^{2}

[m=(h/λc)-(h/λc)]^{2}

(m=0)^{2}

m=0

m(photon) = 0

Is my math correct?

If so, is this legible?

And if so again, has this been proved yet and I am just completely unaware that it has?

I also made a video on YouTube about this if you want to check it out...

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# Mathematical Proof that Photons have No Rest Mass

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