PADOVAN AND PERRIN SPINORS

Dişkaya, Orhan | Menken, Hamza

Spinors are components of a complex vector space that can be re- lated to Euclidean space in both geometry and physics. In essence, the forms of usage include quaternions that are equivalent to Pauli spin matrices, which may be produced by thinking of a quaternion matrix as the compound. This study’s objective is the spinor structure that forms based on the quaternion al- gebra. In this work, first, spinors have been mathematically presented. Then, Padovan and Perrin spinors have been defined using the Padovan and Perrin quaternions. Later, we defined the algebraic structure for these spinors. Fi- nally, we have established certain identities such as the Binet formulas and generating functions for Padovan and Perrin spinors.