In the last chapter we have found that physical laws in Special Relativity Theory have the same form in every reference system if they are expressed as four-vector equations. The physical laws of spacetime thus behave like the classical laws of Newtonian physics: They are invariant under Galilean transformations when formulated in (three-dimensional) vector form, cf. Sect. 12.1. The four-vectors, which we will often simply call “vectors” from now on, are geometric objects that have different components in different coordinate systems, but remain unchanged in spacetime.

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Tensor Calculus in Special Relativity Theory

  • Michael Ruhrländer

摘要

In the last chapter we have found that physical laws in Special Relativity Theory have the same form in every reference system if they are expressed as four-vector equations. The physical laws of spacetime thus behave like the classical laws of Newtonian physics: They are invariant under Galilean transformations when formulated in (three-dimensional) vector form, cf. Sect. 12.1. The four-vectors, which we will often simply call “vectors” from now on, are geometric objects that have different components in different coordinate systems, but remain unchanged in spacetime.