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- W2040397218 abstract "This paper explores the concept of time in its association with multi-dimensional structure. In the first instance it is noticed that whereas the traditional scientific time involves a graded mapping (an ordering) on a 1-dimensional structure, the theory of relativity required a more general concept of time as an ordering on a 4-dimensional structure. In each case the structure is an example of a simplicial complex, K, and this is the sort of structure to be found in every mathematical relation—whether it refers to the physical sciences or to the social or personal human condition. The essential features of a simplicial complex are described, together with certain novel ideas which have arisen in the author's recent researches, and the idea is then put forward of a general definition of time which is dependent on the multi-dimensional structure of the system which is experiencing it. This definition leads to a consideration of mathematically well-defined hierarchical temporalities as well as that of a dimensionally graded time experienced at any specific hierarchical level. These ideas are finally compared with a short selection from the published results of experimental work in various fields." @default.
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- W2040397218 date "1978-07-01" @default.
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- W2040397218 title "Time as a pattern on a multi-dimensional structure" @default.
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- W2040397218 doi "https://doi.org/10.1016/0140-1750(78)90027-1" @default.
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