Lagrangian Dynamics on Clifford Kaehler Manifolds

TL;DR

This paper introduces a Lagrangian dynamics framework on Clifford Kaehler manifolds, exploring its geometric and physical properties to extend classical mechanics into a new mathematical setting.

Contribution

It presents the first formulation of Lagrangian dynamics specifically on Clifford Kaehler manifolds, expanding the geometric foundation of dynamical systems.

Findings

Development of a Clifford Kaehler Lagrangian framework

Derivation of geometric properties of the dynamical systems

Discussion of physical implications of the new systems

Abstract

In this study, Clifford Kaehler analogue of Lagrangian dynamics is introduced. Also,the some geometrical and physical results over the obtained Clifford Kaehler dynamical systems are discussed.