If light is a particle, and it travels at the speed of light, why does the particle not have infinite mass?

Those particles are called photons. Photons have no mass.

It means that if its assumed the particle of light has no mass when its not moving ,if it moves at the speed of light it will have mass.

I am not too keen in believing that . Because recent experiments have indicalted that light is really a particle posessing a certain quantity of mass.

I am more likely to belive that the large a mass is the slower it moves.I postulate that the particle of light is the Densest mass of the Universe and at the same time the smallest mass of the Universe. Since smaller mass travel faster than large masses , it follows that light mass would be the fastest moving mass of the Universe.

The idea that mass increases as the velcity of light is approched does not have any real positive proof that its a real Phenomena ;but an imaginary one.That is why micromass moving at the speed of light do not become infinite as you implied in your enquiry about the light particle.

At sub atomic levals, the distinction between particle and wave is blurred. So it has both the properties of a wave as well as a particle and this allows Light and other EM radiation to travel at light speed. And a wave does not have mass, so no increace in mass occurs.

it doesn't have infinite mass, it has a definite mass based on how energetic it is, and that depends on other things besides speed of travel.

but if you could stop the light, it would have no mass. zero rest mass, it's called.

seems to be a lot of confusion about wave/particle duality. someone should ask a question so i can answer it.

Light can be both a particle or a wave. The wave travels at the speed of light. I don't think the particle also travels the same way.

You must remember this; there is a wave/particle duality to lightThat means sometimes it behaves as a wave and sometimes it behaves as a particle. So you are going to come across seeming contradictions in explanations about the nature of it.

Being a particle doesn't mean it's matter. Matter has mass. Energy doesn't.