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Edward Witten

"In Einstein's general relativity the structure of space can change but not its topology. Topology is the property of something that doesn't change when you bend it or stretch it as long as you don't break anything."

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"In Einstein's general relativity the structure of space can change but not its topology. Topology is the property of something that doesn't change when you bend it or stretch it as long as you don't break anything."

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Donna Grant

"You can change a life by touching someone with simple, beautiful, kind, words and a loving smile."

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Personal Development

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Donna Grant

"We have to change our thoughts before things can change."

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Personal Development

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Donna Grant

"Anyway, it's like with bikes,' said the first speaker authoritatively. 'I thought I was going to get this bike with seven gears and one of them razorblade saddles and purple paint and everything, and they gave me this light blue one. With a basket. A girl's bike.''Well. You're a girl,' said one of the others.'That's sexism, that is. Going around giving people girly presents just because they're a girl."

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Donna Grant

"You may turn every house in your neighborhood into a charity center, you may fill the land with soup-kitchens, but the misery of humans will still continue to exist until the character of humanity changes."

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Personal Development

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Donna Grant

"When you meet someone, and you find that they are prejudiced against your kind, it might be your chance, not to confirm, but to be the one to finally change their mind."

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Donna Grant

"Every living object has to change every moment just to live."

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Donna Grant

"Change is the rule. Permanence is an illusion."

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Donna Grant

"Losing your job gives you the opportunity to make your life count."

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Donna Grant

"If you don't like the solution, change the problem."

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Donna Grant

"Dwarfs were not a naturally religious species, but in a world where pit props could crack without warning and pockets of fire damp could suddenly explode they'd seen the need for gods as the sort of supernatural equivalent of a hard hat. Besides, when you hit your thumb with an eight-pound hammer it's nice to be able to blaspheme. It takes a very special and strong-minded kind of atheist to jump up and down with their hand clasped under their other armpit and shout, "Oh, random-fluctuations-in-the-space-time-continuum!" or "Aaargh, primitive-and-outmoded-concept on a crutch!"

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Edward Witten
"The theory has to be interpreted that extra dimensions beyond the ordinary four dimensions the three spatial dimensions plus time are sufficiently small that they haven't been observed yet."

Time

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Edward Witten
"String theory is an attempt at a deeper description of nature by thinking of an elementary particle not as a little point but as a little loop of vibrating string."

Nature

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Edward Witten
"Quantum mechanics brought an unexpected fuzziness into physics because of quantum uncertainty, the Heisenberg uncertainty principle."

Physics

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Edward Witten
"If I take the theory as we have it now, literally, I would conclude that extra dimensions really exist. They're part of nature. We don't really know how big they are yet, but we hope to explore that in various ways."

Nature

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Edward Witten
"In Einstein's general relativity the structure of space can change but not its topology. Topology is the property of something that doesn't change when you bend it or stretch it as long as you don't break anything."

Change

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Edward Witten
"Spreading out the particle into a string is a step in the direction of making everything we're familiar with fuzzy. You enter a completely new world where things aren't at all what you're used to."

Direction

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Edward Witten
"On the other hand, we don't understand the theory too completely, and because of this fuzziness of spacetime, the very concept of spacetime and spacetime dimensions isn't precisely defined."

Theory

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Edward Witten
"There was a long history of speculation that in quantum gravity, unlike Einstein's classical theory, it might be possible for the topology of spacetime to change."

Change

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Edward Witten
"As of now, string theorists have no explanation of why there are three large dimensions as well as time, and the other dimensions are microscopic. Proposals about that have been all over the map."

Time

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Edward Witten
"I wouldn't have thought that a wrong theory should lead us to understand better the ordinary quantum field theories or to have new insights about the quantum states of black holes."

Thought

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