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Mr Tompkins in Paperback by Roger Penrose, George Gamow

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4

The Professor’s Lecture on Curved Space, Gravity and the Universe

Ladies and Gentlemen:

Today I am going to discuss the problem of curved space and its relation to the phenomena of gravitation. I have no doubt that any one of you can easily imagine a curved line or a curved surface, but at the mention of a curved, three-dimensional space your faces grow longer and you are inclined to think that it is something very unusual and almost supernatural. What is the reason for this common ‘horror’ for a curved space, and is this notion really more difficult than the notion of a curved surface? Many of you, if you will think a little about it, will probably say that you find it difficult to imagine a curved space because you cannot look on it ‘from ...

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