Penrose (2004: 414):
We should, however, recall … that, unlike the case for a massive particle, ∫ds is zero for a world line of a photon (so non-coincident points on the world-line can be ‘zero distance’ apart). This would also be true for any other particle that travels with the speed of light. The time ‘experienced’ by such a particle would always be zero, no matter how far it travels!
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As previously explained, the time that a photon "experiences" is the time measured by a clock that is travelling at the speed of light. If the time measured is zero, then the clock does not tick. In other words, processes do not unfold for a body travelling at the speed of light. In terms of the Special Theory of Relativity, viewed through Systemic Functional Linguistic Theory, this means that time intervals expand to infinity for a body moving at the speed of light.
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