Muthumanimaran said:
As we know light travels very very large distances from far far away galaxy reaches our eyes, why it is timeless
Short answer: because there's no other particle a photon can decay into.
Somewhat longer answer: for a particle to decay into something else, it has to have at least as much energy as the something else it's going to decay into, and the decay process must conserve quantum numbers like electric charge. For example, muons decay into electrons, which are lighter (less massive, hence less energy required to make one) than muons. But electrons can't decay into anything else, because there's nothing lighter than an electron that also has a charge of -1.
So for a photon to decay into something else, the something else would have to have less energy than the photon. But unless the photon is extremely energetic, such as a gamma ray from a nuclear reaction, there won't be anything else with less energy that it can decay into. Sufficiently energetic photons, like those produced in reactors or particle accelerators, can in fact "decay" into electron-positron pairs (it has to be a pair so that charge is conserved). But photons of visible light have far too little energy to decay into anything else.
BiGyElLoWhAt said:
If something moves at the speed of light, it has infinite time dilation, and doesn't see time.
That's not really correct. The correct statement is that the concept of "proper time" does not apply to a photon, or any other particle with zero invariant mass. But there are still distinct events on a photon's worldline; in other words, photons can still have things "happen" to them.
sophiecentaur said:
The problem is that, when you are trying to take your reference frame as one that is traveling at c (relative to what?), any conclusions that your reasoning might produce are likely to be suspect.
This is not nearly strong enough. The correct statement is that the concept of "a reference frame traveling at c" is meaningless; there is no such thing. So any reasoning based on such a concept is not just "likely to be suspect"; it's invalid, period.