This is just a random thought, may be totally wrong.(adsbygoogle = window.adsbygoogle || []).push({});

Euclidean geometry was originally described as a constructive theory in which the axioms state the existence (and implied uniqueness) of certain geometrical figures. These constructions are the ones that can be done with two concrete tools: a compass and straightedge.

In a more modern presentation, we might describe (plane) Euclidean geometry as the geometry implied by the metric ##ds^2=dx^2+dy^2##.

Now SR (in 1+1 dimensions for simplicity) can be described as the geometry implied by the metric ##ds^2=dt^2-dx^2##. Could we describe this in terms of concrete tools, and if so, what would the be? Light beams and a clock? If we were to write axioms for SR in the Euclidean style ("Given a ..., to construct a ..."), how would they look?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# SR as a theory of geometrical construction

Tags:

Loading...

Similar Threads for theory geometrical construction |
---|

A Best references for Gravity as field theory in flat Space-Time |

B What is the theory of relativity? |

B Why we don't have several theories |

I Is Newton's theory valid under this condition? |

A SR/GR's Opinion of QM/QFT |

**Physics Forums | Science Articles, Homework Help, Discussion**