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Help on the photon

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I am very sure this has been and will be discussed time and again but i hope you have enough patience to please answer this one more time.

 

If the photon is masless, how can it possess momentum and energy ? The 2 things just seem to go together. When they say massless they do mean mass = 0 right ? And when AH COmpton derived the formulas to calculate momentum of a photon, he used the equation E=mc^2 right ? So therefore, the photon must have a mass, because E / C^2 = never 0 ...

 

I am a really confused high school physics student, please help me out, dont let me rot in the darkness.

 

thank you

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