7
" Not so. You have been doing that quite frequently now. Rest easy. Later the whole of quantum mechanics will be placed in the context of the ten-dimensional manifold of manifolds, and there reconciled to gravity and to general relativity. Then, if you go that far, you will feel better about how it is that these equations can work, or be descriptive of a real world.” “But the results are impossible!” “Not at all. There are other dimensions folded into the ones our senses perceive, as I told you.” “How can you be sure, if we can never perceive them?” “It’s a matter of tests pursued, just as you do it in your work. We have found ways to interrogate the qualities of these dimensions as they influence our sensorium. We see then that there must be other kinds of dimensions. For instance, when very small particles decay into two photons, these photons have a quantum property we call spin. The clockwise spin of one is matched by a counterclockwise spin of the same magnitude in the other one, so that when the spin values are added, they equal zero. Spin is a conserved quantity in this universe, like energy and momentum. Experiments show that before a spin is measured, there is an equal potential for it to be clockwise or counterclockwise, but as soon as the spin is measured it becomes one or the other. At that moment of measurement, the complementary photon, no matter how far away, must have the opposite spin. The act of measurement of one thus determines the spin of both, even if the other photon is many light-years away. It changes faster than news of the measurement could have reached it moving at the speed of light, which is as fast as information moves in the dimensions we see. So how does the far photon know what to become? It only happens, and faster than light. This phenomenon was demonstrated in experiments on Earth, long ago. And yet nothing moves faster than the speed of light. Einstein was the one who called this seemingly faster-than-light effect ‘spooky action at a distance,’ but it is not that; rather, the distance we perceive is irrelevant to this quality we call spin, which is a feature of the universe that is nonlocal. Nonlocality means things happening together across distance as if the distance were not there, and we have found nonlocality to be fundamental and ubiquitous. In some dimensions, nonlocal entanglement is simply everywhere and everything, the main feature of that fabric of reality. The way space has distance and time has duration, other manifolds have entanglement. "
― Kim Stanley Robinson , Galileo's Dream
8
" There remained a main melody, or a path through a maze—a maze that was like the delta of the Po. He seemed to look down on it as he sang it. A great number of channels were weaving down a slightly tilted plain. Each channel was a mathematical specialty—some of them shallow and disappearing into the sand, but most making their loop and reconnecting to other flows. A few were the kind of deep channels that ships would use. Upstream they coalesced until there were fewer, scattered streams. Fewer tributaries rather than more, leading up in different directions to sources, often at springs. Water out of the rock. This was, he saw, an image of mathematics in time. Or maybe it was all time, or humanity in time; but it was the mathematics that sprang out at him. The fewer channels upstream, in the distant past, well before his time, were where Aurora’s tutorial now led him. Then he was flying over the time stream, or in it, sometimes returning upstream to view a contemporaneous discipline. Mainly he had a general sense of flying downstream, over or occasionally inside some eternal landscape, the nature of which could not be discerned. He inhabited an image he had heard some time before, of history as a river, in which people were water, eroding the banks and depositing soil elsewhere downstream, so that the banks slowly changed and the river ran otherwise than it had, without the water ever noticing the changed courses of the braiding stream. "
― Kim Stanley Robinson , Galileo's Dream
9
" And yet here they were. He looked at Aurora’s assistants, hovering over the bank of machines against the wall. He hoped the treatment would work, that it would not kill or derange him. They slipped their preparation into his blood using a hollow needle that they inserted painlessly into his skin—an ugly little experience. He held his breath as they did this, and when he finally exhaled and inhaled, the world ballooned. He saw immediately that he was thinking several trains of thought at once, and they all meshed in a contrapuntal fugue that his father would have very much enjoyed hearing, if it were music, which in a sense it seemed to be: a polyphonic singing of his ideas, each strand taking its part in the larger music. To a certain extent his thinking had always felt that way, with any number of accompaniments running under the aria of the voice of thought. Now these descants were choral, and loud, while at the same time architectonically fitted to the melody. He could think six or ten thoughts at once, and at the same time think about his thinking, and contemplate the whole score. "
― Kim Stanley Robinson , Galileo's Dream
