On Dual Lorentzian Vectors and Angles with Leonardo Number Sequences
Ali Atasoy *
Keskin Vocational School, Kırıkkale University, Kırıkkale, Turkiye.
Faik Babadag
Department of Mathematics, Kırıkkale University, Kırıkkale, Turkiye.
Beyza Nur Bozoglu
Department of Mathematics, Kırıkkale University, Kırıkkale, Turkiye.
*Author to whom correspondence should be addressed.
Abstract
This study establishes a formal bridge between number theory and Lorentzian geometry by introducing dual Lorentzian Leonardo vectors. While Leonardo sequences are well-known, their representation in three dimensional dual Lorentzian space. By investigating dual Lorentzian angles, this research characterizes the geometric cases under some constraints. In addition, the rigorous definitions are provide for inner and outer products. The results offer significant insights into the intersection of number theory and dual space kinematics. This framework provides a robust basis for further research into higher-order recurrence relations in kinematic geometry.
Keywords: Dual Lorentzian space, inner and outer products, recursive sequences