The space-time from a new perspective
I have written a lot about the relation between the notions which are quoted in the title. I would like to summarize what we have known about them so far and what's totally new knowledge considering their attributes. Timeliness of this theme is yet that there was just one topic in a special edition of the Scientific American1 in the early this year. This topic was a matter of time. Hereinafter I write about a special characteristic of space-time and this attribute was not described in the mentioned magazine. In my former articles I have already written about these interesting attributes of space-time, but I did not describe the whole depth of the subject.
Content
1. Evolution of the concept of the time
2. Details from the rich literature of the concept of the time
3. The space-time notion in the 20th century
3.1 Einstein's algebraic description about the space-time
3.2 Geometric description of the space-time, use of hyperbolic functions
3.3 The usage of hyperbolic numbers for the description of the space-time
4. The contours of the new face of the mathematics in beginning of the 21st century
4.1 The hyperbolic numbers, as the one of the three basic systems of two-element numbers
4.2 The parabolic numbers, as the one of the three basic systems of two-element numbers
4.3 The two-element numbers and the geometry
4.4 Hidden presumptions of Cantor's diagonal method
4.5 The two-element numbers as the extensive and intensive models of infinity
4.5.1 The two-element numbers and the extensive infinity
4.5.2 The two-element numbers and the intensive infinity
4.6 Equivalents of continuum hypothesis
4.7 The duality of the extensive and intensive models of infinity
4.8 The concepts of the limit of functions and the continuity of functions
4.8.1 Definitions of metric on the plane of the two-element numbers
4.8.2 The generalized concept of metric
5. In the early 21st century as a result of fruitful ideas a new approach of space-time came into existence
5.1 The space as a projection of infinite time
5.2 Consequences of the new approach of time and space
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1 A Matter of TIME – It begins, it ends, it’s real, it’s an illusion. It’s the ultimate paradox. /Special collector’s edition of Scientific American, Volume 21 Number 1,
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