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 … still quite young when I realized that there was something wrong with Einstein’s Theory of Gravitation. In particular, there seemed to be a fallacy underlying the Principle of Equivalence. According to this, there is no way of distinguishing between the effects produced by gravitation and those of acceleration.

But this is clearly false. One can create a uniform acceleration; but a uniform gravitational field is impossible, since it obeys an inverse square law, and therefore must vary even over quite short distances. So tests can easily be devised to distinguish between the two cases, and this made me wonder if…

How often we have all heard arguments about the size of the universe, and whether it has any boundaries! We can imagine no ending to space, yet our minds rebel at the idea of infinity. Some philosophers have imagined that space is limited by curvature in a higher dimension – I suppose you know the theory. It may be true of other universes, if they exist, but for ours the answer is more subtle. (Unknown authour)

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