Wednesday, 23 November 2016 19:22

Number systems – what's next?

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Desiderata

Content

  • The notion of number
  • Desiderata to the extension of the numbers
  • Summary

Abstract

Although the numbers are yet considered as the simplest abstractions of mathematics, it is increasingly taking shape is a picture in which the numbers will the most complex and exciting concept in mathematics. The geometric algebra is a probable candidate for the new number system, but desiderata of the author is unlike the criteria of the geometric algebra in three points:

  • The number line of real numbers is orthogonal to the space-dimensions according to the definition of scalar product.
  • As the fundamental operation of arithmetic the product is commutative.
  • The space-dimensions evolve from time-dimension which is represented by number line of real numbers.

 

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Read 619 times Last modified on Saturday, 11 May 2019 08:45
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