A Geometrical Interpretation of Frequency

TL;DR

This paper introduces a novel geometrical framework for understanding frequency in electric circuits, representing it as a multivector with symmetric and antisymmetric parts, extending traditional definitions.

Contribution

It proposes a new geometrical interpretation of frequency as a multivector, broadening the conceptual understanding beyond conventional scalar definitions.

Findings

Frequency is modeled as a multivector with symmetric and antisymmetric components.

The traditional frequency definition is a special case within this new framework.

Examples demonstrate the approach's generality and practical relevance.

Abstract

The letter provides a geometrical interpretation of frequency in electric circuits. According to this interpretation, the frequency is defined as a multivector with symmetric and antisymmetric components. The conventional definition of frequency is shown to be a special case of the proposed theoretical framework. Several examples serve to show the features, generality as well as practical aspects of the proposed approach.