if a photon of light has 0 rest mass but it has momentum then ...

Can there be a transition from wave to particle as its space-time is compressed.

Does lights momentum change when in a gravitational field?

Spacetime compressed?

You have mentioned this in different forms- can you Clearly Outline what you mean by compressed? Compressed how?

Are you asking if you can "squeeze" a photon until it's energy is matter?

Nope. It remains the same.
The reason light cannot escape a black hole is because of the Warp in spacetime. The curvature is so great that it turns back on itself while traveling in a straight line.

Note that the total momentum of any object is actually p=m₀*v/sqrt(1-v²/c²). This simply goes to mv as velocity is very small compared to c. For all consideration with relativity though, this must be considered in full.

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Again ... maybe this is ajust a confusion on my part but ... either at the speed of light relative to something or when there is a difference in gravity.

It is my assumption ( maybe I am wrong ) that space-time contracts. Meaning that what seems like a short distance to an external observer ( also short period of time ) really becomes a longer distance ( and thusly longer period of time ) to the observed.

If we watched someone near a black hole. Their yard sticks would be shorter than our yardsticks. In addition their clocks would run slower.
Time is slowed and distance shrunk near a gravity source ( almost the definition of gravity ).

To use your terms ... as I believe them to be ... the fabric of space time is compressed.

so momentum goes to infinitiy as the velocity approaches the speed of light assuming a massive object. Right?

Now how do we detect this momentum? And are you saying that for a photon of light it always has the exact momentum regardless of its wavelength?

No. For a photon, momentum is dependent on energy, which is proportional to frequency. That can be determined with the equation E²=(pc)²+(mv²)². As photons are massless, the second term drops out, simplifying the equation to E²=(pc)² in that case.

Oh, and you are right about the momentum going to infinity for a massive object as it approaches c.

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For Tommac:
Yes, ONLY an object that has mass.
A massless photon does not approach infinity.

so is it safe to say that the momentum of light diminishes as space-time expands and the momentum of light increases as space-time contracts.

In other words ... as time slows down light gains momentum as time speeds up light loses momentum.

This sounds like a lot of your confusion. Space-Time does not "become" anything. It is what it is. It is the observer themselves that interprets it differently. Space-time is the same, the rulers are different.

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Tommac, I would suggest you read some good mainstream literature on relativity and cosmology. Trying to defy established knowledge with 'tricky' questions won´t do any good to yourself. I could even say the profusion of senseless questions is nearing what is called here 'disruptive behavior'. I, for one, am losing a great deal of my time trying to follow them [and unfortunately for me I refuse to use the 'ignore' feature, cause I don´t like the idea of ignoring something]. Think about it, and don´t take me bad.

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OK so please explain this. What is the difference between the fabric of space time being curved or the rulers being different? I am using the idea of rulers being different as the same thing as the fabric of space time being curved.

Ok lets say the ruler is different. what happens to the speed of light when a ruler contracts ?

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I hear you. trust me I am reading as quickly as I possibly can. But I need to admit I am not a PHD yet. This being said. Can you please help clarify exactly when I am wrong? I will and do listen.

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I have a wonderment for the physicists in the audiance. *Ahem* Can light bend spacetime? If so, could you have a light so bright it made its own blackhole?

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I think so ... In fact some guy has created a time machine where lasers swirl space-time. The hope is that he can send an electron back in time.
http://www.sciencenews.org/articles/20050716/fob7.asp

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I think since light is energy and e=mc2. you can emulate the mass of a black hole by creating a light beam so powerful that its energy would be the mass of a black hole.

Are there limitations to the energy that light can hold? If not then I think what you say is possible however the amout of light needed would be astounding. Maybe some of the primordial black holes were created this way??? before there was matter?

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I think you´re having problems with the notion of time contraction and dilation [note, we all have those problems and I´m not a professor - on the contrary, I´m just a curious guy like you]. An important point is that, in relativity, you have to use coordinate transformations [and this is a key concept] to understand [to interpret] what is going on in a frame that is different than yours [e.g. an object moving closer to the speed of light when you are standing still]. Those [geometric] trasformations make time appear to behave oddly. There´s nothing magical, or mysterious, about time, and it does not have a life of its own.

There is a also a hint that you are confusing quantum mechanics phenomena with relativity. Keep in mind that these domains are incompatible, and people are still working on a way to make them be one.

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No; I can't, because there would be volumes to really explain it the way you seem to need. In this environment, we can only give short answers, point in the direction you should go, tell you where you are getting it wrong.

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This answer does absolutely nothing for me. If you cant provide any help then just say so. If you cant explain it because you can only post short posts then please point me to a place that can answer this question.

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What a rude post Tommac, Members have repeatedly pointed you into the directions you refuse to go in.
This is a discussion board, not a Scientific Journal nor a University.
You cannot expect someone to provide you with meaningful answers even over a series of posts.
It takes TIME to learn things. You start with the basics, and work your way up.
Use the links several of us have provided you with (Deja vu again, I swear I've said this before) and then come back with meaningful questions.

What NeoWatcher just said hit the nail on the head. You can only accept it.