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• W1610305879 abstract "TIME is one of the four dimensions of the physical universe, the other three dimensions bei g length, breadth, and height. All t at this statement means is that any physical event may be uniquely speci fied by associating it with four numbers, which designate the time and place of its occurrence. This particular choice of four dimensions is not the only possible one; for length, breadth, and height we may substitute distance and direction (one spatial and two angular coordinates) for ex ample, and many other choices are possible. But whatever choice is made, it is always found that four coordinates constitute a necessary and sufficient number for the unique specification of a physical event; and of these four, at least one must be associated with time and at least one with distance. It is easy to imagine universes with fewer than four di mensions: solid geometry deals with a three-dimensional universe and plane geometry with a two-dimensional one. It is even possible by analogy to deal in a limited way with universes having more than four dimensions, but such exercises have not been productive of many ad vances in our understanding of the real world. The foregoing facts have been well known for centuries to all who have paid much attention to the subject, but the emphasis on classical me chanics during the eighteenth and nineteenth centuries tended somewhat to obscure them. Classical mechanics consists very largely in the study of the relations among the four dimensions (and other quantities such as mass) as they pertain to moving bodies. In this study it is common to consider the spatial coordinates as functions of the time, that is, to take the time as the independent variable and to make all else depend on it. The concept of the four-dimensional space-time continuum plays no part here. It came as a shock to many persons to realize that equations could be written (the equations of relativity) in which the three spatial dimen sions were no longer dependent on the time but all four dimensions came to stand on an equal footing. The salient feature of these new equations was that they were left unchanged if the symbol for the time was inter changed with any one of the three symbols for the distances. Many un informed persons failed to realize that the new equations were simply a new way of symbolizing the universe we had always known, and seized upon the interchangeability of symbols as proof that space and time must be, if not the same thing, at least interchangeable in real life as they are in the equations. This false concept no doubt paved the way for the long procession of writers and believers of science fiction that is still pass ing before us. The point to be made is that time is really quite different 260" @default.
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• W1610305879 date "1952-01-01" @default.
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• W1610305879 title "Time and Its Measurement II" @default.
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