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If you are talking about Planck Lengths, then maybe you should be talking about Planck Time, too?The number of photons striking your camera's detector in one Planck time unit is radically different in different locations (or in the same location, but in different seconds).On these timescales, the number of photons is mostly 0, and sometimes 1.
I don't see any contradictions in here... There are so many photons coming out of the sun that even at a distance of one AU, there is a substantial flux of photons. The cross-section of interaction with a visible photons is much greater than one Planck length, so subdividing the space into these really tiny fragments isn't that meaningful. It's like shooting an animal with a single bullet and wondering which cell got hit, and how the neighboring cell could be hit too.Lambert's law also is angle specific in a way that you did not describe well. Moving around the circle while looking directly at the Sun doesn't change the angle that the law refers to. The angle refers to how directly one is looking at the luminous object.
a precise amount of photons