What are we missing?

We are stuck in our three dimensional existence; and that dimensional existence hinders us from seeing past that existence. Could our understanding of the quantum world benefit from investigating in both one and two dimensional spaces? We could accomplish this through our mathematics, but I do not believe we have any means to measure and detect in any other dimensional array than our current three. I wonder what we are missing. There are known missing pieces in our current understanding of light, gravitational theory and quantum theory do not line up, and entanglement is a mystery. Perhaps if we could measure fewer dimensions these current quantum issues would resolve. Maybe we would find that every where we go our atoms leave a personal quantum signature (seems unlikely with our current quantum understanding). What are we missing?