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De Broglie proposed that all particles should be regarded as having wavelike properties. He went on to suggest that the wavelength associated with the "matter wave" is inversely proportional to the particles mass and speed. Photons are indeed massless; however, you must take under consideration that light acts like it has mass subject to gravity and is then consider to have "relativistic mass" that is equivalent to energy. Light has energy and momentum which connects with to gravity. A massless particle such as massless radiation can have energy and momentum.
Momentum is often referred to as the mass times acceleration of a function. However, even though photons are massless, light has wavelength properties that we can measure momentum from as there are properties that we can measure/ will be given.
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