no dilema, whilst the photo traveling at the speed of light does not perceive time, we do, as we are only moving at about 57k km/hr so we do perceive time and when we observe light traveling though a vacuum its traveling at 300k km/s.
saying that there is a lot of weirdness predicted in the theories of relativity and quantum mechanics; but here's the thing no matter how weird those predictions are, no mater how much effort we put into proving the predictions wrong.... it tunes out that these predictions are correct and that reality really is that weird.
Saying that there are discrepancies that are found from time to time, some particles have mass when theory says they do not, unfortunately none of which have needed more than a minor extension to existing theories to explain them, the higgs field and boson in this case. Nobody believes that these theories are the end of the story, there is another layer beneath, but to find it you need a theory busting discrepancy.... the non existance of the higgs boson would have been one, hence the interest is finding out if it existed or not. not would have been more useful
The realization that everything around you that you perceive as reality is a gross simplification of whats really there, really does take a lot of getting use too. The knowledge that everything thing we perceive as solid, is in fact almost entirely empty space enclosed within a cloud of electrons.
to give you an idea of how much empty solid stuff is, the atomic nuclei of say 500 tonnes of stuff, say a 747 or a 15M cube of aluminum, would fit into the volume of a grain of salt