In my own research when I'm working with equations, I never feel like I really understand what I'm doing if I'm solely relying on the mathematics for my understanding. I need to have a visual picture in my mind. I'm constantly translating from the math to some intuitive mind's-eye picture.
Brian Greene...quantum mechanicsโthe physics of our worldโrequires that you hold such pedestrian complaints in abeyance.
Brian GreenePhysicists are more like avant-garde composers, willing to bend traditional rules... Mathematicians are more like classical composers.
Brian GreeneTo tell you the truth, I've never met anybody who can envision more than three dimensions. There are some who claim they can, and maybe they can; it's hard to say.
Brian GreeneTime allows change to take place and the very evolution of the universe is what requires some conception of time. Mathematically can we write down a universe that doesn't have time? Sure. Do we think that would be realised in the larger reality that is out there? None of us take that possibility seriously.
Brian Greene