Logarithmic Cycles of the Time: An Quaternionic Approach

TL;DR

This paper explores using quaternionic logarithms to model cycles of time, leveraging quaternionic analysis's potential to address complex physical and mathematical problems involving four-dimensional structures.

Contribution

It introduces a novel quaternionic approach to representing time cycles through logarithmic functions, expanding the application of quaternionic analysis in physics and geometry.

Findings

Quaternionic logarithm can model time cycles.

Provides a new mathematical framework for physical problems.

Enhances understanding of four-dimensional time representations.

Abstract

The satisfactory development of Quaternionic Analysis has indicated new solutions for physical and mathematical problems. It is worth mentioning the fact that quaternions possess four dimensions, and in this way they may be considered as natural elements for the formulation many of physical and geometrical problems. The scope of this paper is to show that the cycles of time [1] may be performed quaternionic logarithm.