A different derivation of the acceleration of a particle in a non-inertial reference frame

TL;DR

This paper presents a novel derivation of particle acceleration in non-inertial frames, incorporating the Coriolis effect, using complex number geometry in the complex plane.

Contribution

It introduces a new derivation method employing complex numbers to analyze acceleration in non-inertial reference frames.

Findings

Derivation includes Coriolis effect explicitly.

Method simplifies calculations in non-inertial frames.

Provides geometric insight via complex numbers.

Abstract

A new derivation of the acceleration of a particle in a non-inertial reference frame, including the Coriolis effect, is developed using the geometry of complex numbers in the complex plane.