chris.hoops said:
Are you trying to make the point that the experience of a photon and the experience of a human being are incomparable in every sense?
Dang it, no - that was a very serious answer.
chris.hoops said:
I guess I am interested to know - a photon, as far as it is concerned, exists at all points along its path of travel simultaneously (sic). Whereas we perceive it to 'move' from one point to another, over a certain period of time. What is the reason for this discrepancy?
Well, I'm not sure about the photon existing at all points of its path simultaneously.
The fundamental reason for the discrepancy you are asking about is that photons all travel at the same speed, and you can never catch them.
Let's say first you travel at 0 m/s. You measure the speed of a car passing by you to be 1000 m/s, and you measure the speed of light to be c.
If you now travel at 999 m/s, the car will now seem to you to be moving more slowly - but you will still measure the speed of light to be c. This is true for light of all wavelengths and frequencies.
Now, there is no reason for this - it is just an experimental fact. What is lucky is that we have a way of describing this strange behaviour mathematically. In this mathematical description, spacetime has a peculiar geometry. Usually, we think that spacetime is divided into only the past and the future. In relativity, past and future still exist, but there is a new region of spacetime which we may call "elsewhere". Spacetime divides into these three regions for you and for me. But the way it divides for each of us is not the same - your past could be my future. For a person, the significance of the past and future divisions of spacetime is that events occurring within those divisions could potentially affect him. In contrast, an event that occurs "elsewhere" can never affect him.
The crucial role of light is that it defines the boundary between "past and future" and "elsewhere", and the mathematical definition of this boundary is it is a trajectory of zero "proper time". We on the other hand, have non-zero "proper time". This is often said to mean that while we experience time, light doesn't.
The idea that light does not "experience" time can actually make sense in a precise, but limited way. For example, light moves relative to us, so we can use the successive peaks and troughs of a light wave moving past us to measure time. In this sense, we "experience" time. However, the speed of light is the same for light of all frequencies, so light does not move relative to light. If two light waves of different frequencies set out in the same direction, any particular peak in one of the waves will not move relative to the nearest peak or trough in the other wave. It will never experience the peaks and troughs of the other wave moving past it. In this sense, a light wave does not "experience" time.
While light does not move relative to light, it certainly moves relative to us - just as we move relative to light. Furthermore, when light encounters atoms in its path, it may get absorbed. A photon may also be "born" when it is emitted by an atom. From this point of view, things do change for light!
