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RE: Matter waves - a central concept in quantum mechanics
Photons are basically carrier of electromagnetic forces, but they have relative mass as well so is it possible they carry gravitational force? A random thought.
Photons are massless. Period. This relative mass business should be forgotten once and for all and called with its real name: energy. It unfortunately only brings confusion.
Photons are spin 1 particles, which prevents them from being the carriers of a gravitational force (one needs a spin-2 guy).