I must say that your understanding of dimensions (and if i may include the basic framework of the standard model) seems to be a bit flawed. weather or not dimensions exist is not a valid question. you must also consider what Einstein didn't consider.
also, might I add, each and every one of...
there also is the dimensional focus model, supported by Leonard Susskind's work, where these photons tend to behave this way because they have a greater probability (due to their small size) to reveal the upper dimensions in a strange, hard to comprehend (for us) 3 dimensional model. its like...