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The Mathematics of Minkowski Space-Time

2008/01/01 by Francesco Catoni, Roberto Cannata, Dino Boccaletti · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebra over a field #Algebraic and Geometric Analysis #Classical mechanics #Computer science #Constant curvature #Curvature #Differential geometry #Epistemology #Extension (predicate logic) #Four-force #Geodesic #Geometry #Hyperbolic geometry #Hyperbolic space #Hypercomplex number #Lorentz transformation #Mathematical analysis #Mathematics #Minkowski space #Physics #Principle of relativity #Pure mathematics #Quantum mechanics #Quaternion #Relativity and Gravitational Theory #Simple (philosophy) #Space (punctuation) #Spacetime #Special relativity #Static interpretation of time #Symmetry (geometry) #Theoretical physics #Theory of relativity

paper · doi:10.1007/978-3-7643-8614-6

openalex publication_date 2008/01/01 · openalex created_date 2022/05/12 · openalex updated_date 2025/11/06

Abstract

Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the f

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