A non‐Newtonian perspective on multiplicative Lorentz–Minkowski space 𝕃∗3
Aykut Has, Beyhan Yılmaz, Hüseyin Yıldırım
Abstract
This study focuses on redesigned the Lorentz–Minkowski space, great importance in both physics and geometry, by employing multiplicative metric concepts (angle, norm, distance etc.). The impact of multiplicative arguments on the Lorentz‐Minkowski space has been elucidated, showcasing how multiplicative vectors, subspaces, and planes exhibit multiplicative spacelike, timelike, or lightlike characteristics. Also, we conducted comprehensive comparisons with conventional scenarios, elucidating the vectors and their characteristics within this distinct space. To facilitate visual comprehension, illustrative examples and figures have been provided, offering a clearer understanding of the subject matter.
Topics & Concepts
MathematicsMinkowski spaceLorentz transformationMultiplicative functionPerspective (graphical)Newtonian fluidLorentz spaceSpace (punctuation)Pure mathematicsHyperboloid modelMathematical physicsMathematical analysisClassical mechanicsGeometryPhysicsLinguisticsPhilosophyAdvanced Mathematical Theories and ApplicationsRelativity and Gravitational TheoryMathematical and Theoretical Analysis