Imagine a tsunami wave. Out at sea, it slowly raises the water level not more than a few inches or feet, and passes by standing boats with barely any resultant turbulence. It moves very fast, but it's also very thin and wide. As it comes close to land, it suddenly compresses and reduces speed, but also there forms into the tall, destructive wave that's known for.
What if electromagnetic waves worked in a similar way? With even the concept of observing these waves, the proverbial 'land' is brought near, and the nature of the wave changes. Therefore, photon particles are less definable as discrete objects of their own, but more rather the 'shape' of the electromagnetic waves themselves, which have changed from the long and thin 'sea-tsunami' wave form into a condensed and discrete-looking 'crashing-tsunami', which behave like discrete particles.
This of course directly suggests that the act of just observing passing electromagnetic waves does indeed have a physical effect on them. This is the part I do not yet understand fully, however.
Does this explanation corroborate with how the theory is understood mathematically?