Maxwell's famous equations are insensitive to the scale. So you can squash and stretch as long as you do it equally in both directions. In space time, that means you squash the time in the space equally. Then that kind of transformation is not noticed by light or not noticed by the Maxwell equations. And that's true also of the Yang-Mills equations of particle physics and nuclear physics. They all have this except for mass. It's if you don't have any mass, you don't notice the difference. If you move at the speed of light. At the speed oflight. This is a factor not thinking of particles, but the fields and the electromagnetic field which light is
Sir Roger Penrose has had a remarkable life. He has contributed an enormous amount to our understanding of general relativity, perhaps more than anyone since Einstein himself -- Penrose diagrams, singularity theorems, the Penrose process, cosmic censorship, and the list goes on. He has made important contributions to mathematics, including such fun ideas as the Penrose triangle and aperiodic tilings. He has also made bold conjectures in the notoriously contentious areas of quantum mechanics and the study of consciousness. In his spare time he's managed to become an extremely successful author, writing such books as The Emperor's New Mind and The Road to Reality. With far too much that we could have talked about, we decided to concentrate in this discussion on spacetime, black holes, and cosmology, but we made sure to reserve some time to dig into quantum mechanics and the brain by the end.
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