Sorry, but that's just silly. You're essentially taking the view that if you can't imagine it, it cannot be. If nothing else, try to imagine a God's-eye view of eternity, and you'll get a vague idea of how that 4th spatial dimension would work -- seriously: how to you think God sees the universe? To be God, He's got to be outside of the three-D + time we've got....
"It would confirm that there is a fourth dimension to space, which would create a philosophical shift in our understanding of the natural world."
Really? They predict the invention of "Clock"?