Cartan Horadam Spinors

TL;DR

This paper explores Cartan Horadam spinors by integrating number sequences, Horadam numbers, and spinor transformations, introducing new spinor types and analyzing their properties to connect various research fields.

Contribution

It introduces novel Cartan Horadam spinors and their properties, bridging number sequences, spinor theory, and interdisciplinary applications.

Findings

New types of spinors defined and analyzed

Properties of Cartan Horadam spinors established

Bridging of mathematical and physical research areas

Abstract

Number sequences with wide-ranging applications in mathematics, physics, medicine, and engineering remain an active research topic. This study examines these sequences through the general framework of Horadam numbers and their special cases associated with Cartan numbers. By defining spinor transformations on the resulting structures, new types of spinors are introduced and their key properties are analyzed. The proposed approach bridges distinct yet contemporary research areas, contributing to a broader interdisciplinary perspective.