Think of it like this: From the perspective of the photon, it lives and dies in the same instant. Even if it traveled across the entire universe.
Since it lives and dies in the same instant, it can't have a position—because the moment it exists and the moment it doesn't is exactly the same time.
It takes time—even for light—to get from point A to point B. However, the measurement of any positions—relative to the photon itself—will always be the same. It's related to that property of quantum physics that allows two particles to exists in two different places at the same time.
> > > Mathematically a photon is defined as a state of the EM field (which has been quantised into a set of harmonic oscillators called "normal modes") in which there is exactly one quantum of excitation of a specific normal mode (with given wavevector and frequency). Depending on which kind of modes you consider, a photon could be a gaussian beam, or even a plane wave, so not something localised like you would say of a particle.
> Think of it like this: From the perspective of the photon, it lives and dies in the same instant. Even if it traveled across the entire universe.
Would an appropriate analogy be a "glider" from Conway's Game of Life? "Lives and dies in the same instant" isn't exactly the same, but I'm thinking of how no parts of the glider move while the glider as a whole "moves" across the board.
