Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 12, Issue 2


Published
on

April 5, 2021


Pages

1095-1106


DOI

Article

Shifts in the Foundation: The Continual Modification and Generalization of Axioms and the Search for the Mathematical Principles that Underlie our Reality


Authors

Indrajit Patra* Affiliation:
Independent Researcher


Abstract

The study shall seek to explore the deep, underlying cor respondence between the mathematical world of pure numbers and our physical reality. The study begins by pointing out that while the familiar, one -dimensional real numbers quantify many aspects of our day-to-day reality, complex numbers provide the mathematical foundations of quantum mechanics and also describe the behavior of more complicated quantum networks and multi -party correlations, and quaternions underlie Einsteinian special theory of relativity, and then poses the question whether the octonions co uld play a similar role in constructing a grander theory of our universe. The study then points out that by increasing the level of abstraction and generalization of axiomatic assumptions, we could construct a more powerful number system based on octonions, the seditions, or even other hypercomplex numbers so that we may more accurately describe the universe in its totality.


Keywords

mathematical structures, mathematical universe, fine -tuning, number system, real numbers, complex numbers, quaternions, octonions, seditions, string theory, symmetry, multiverse, division algebras, Standard Model of particle physics, supersymmetry


Citation

Patra, I. (2021). Shifts in the foundation: The continual modification and generalization of axioms and the search for the mathematical principles that underlie our reality. Turkish Journal of Computer and Mathematics Education, 12(2), 1095–1106.

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