LORENTZ MATRIX MULTIPLICATION: EXPLORING ITS RELATIONSHIP WITH FIBONACCI AND LUCAS NUMBERS

Çağlayan Ü., Gökcan İ., Değer A. H.

9th International Conference on Computational Mathematics and Engineering Sciences 17 – 19 May 2025, Diyarbakır – Türkiye, Diyarbakır, Turkey, 17 May 2025, pp.67, (Summary Text)

  • Publication Type: Conference Paper / Summary Text
  • City: Diyarbakır
  • Country: Turkey
  • Page Numbers: pp.67
  • Karadeniz Technical University Affiliated: Yes

Abstract

Abstract
This paper introduces new matrix representations of Fibonacci and Lucas numbers by using
Lorentz matrix multiplication. We present novel identities, characteristic equations, and
quadratic properties derived from Lorentzian transformations applied to traditional matrix
formulations of these sequences.
Keywords: Matrix multiplication, Fibonacci numbers, Lucas numbers.