Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox)

Abstract

In this chapter we show how the formalization of trigonometry in the pseudo-Euclidean plane allows us to treat exhaustively all kinds of motions and to give a complete formalization to what is called today the “twin paradox”. After a century this problem continues to be the subject of many papers, not only relative to experimental tests [1] but also regarding physical and epistemological considerations [51]. We begin by recalling how this “name” originates.