Let’s say you have a horizontal light particles, all coming in to your mirror at the same angle, say 45° and all spread out 1 micro-meter apart. They will ALL hit the mirror and all bounce off at the same reflected angle (in this case 90° from their original angle) again spread 1 micro-meter apart.
If you took the same particles and sent them at say a white wall, they would NOT all bounce off at the same angle. That’s the difference.
Mirrors maintain angle of reflection, white surfaces don’t. At a small enough level a mirror is more “smooth” and a white surface more “rough”, hence the difference in behavior.
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