I state my problem in the following way.(adsbygoogle = window.adsbygoogle || []).push({});

Consider the Lorentz transformations

x=g(x’+Vt’) (1)

t=g(t’+Vx’/c2). (2)

They relate the space-time coordinates of the same events E(x,t) and E’(x’,t’) i.e. the space coordinates of the points M(x,0) and M’(x’,0) where the events take place and the readings of the clocks C(x,0) and C’(x’,0) located at that points when they read t and t’ respectively. In each of the involved inertial reference frames I and I’, the corresponding clocks are synchronized a la Einstein. We mention the clocks C0(0,0) and C’0(0,0) of the two reference frames located at theirs origins display the same running time as C(x,0) and C’(x’0) do respectively, as a result of the synchronization procedure. It is obvious that

t=x/c (3)

t’=x’/c. (4)

Multiplying both sides of (2) by c and taking into account (3) and (4) we obtain

x=g(x’+Vx’/c)=g(x’+Vt’) (5)

and we recover (1)!

Dividing (1) with c and taking into account (3) and (4) we obtain

t=g(t’+Vt’/c)=g(t’+Vx’/c2)

and we recover 2)! Is it correct to say that equation (1) is self contained in (2) and vice-versa?

**Physics Forums - The Fusion of Science and Community**

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!

# A problem concerning the Lorentz transformations

Loading...

Similar Threads - problem concerning Lorentz | Date |
---|---|

I Why Is a Violation of Causality a Problem? | Jan 17, 2018 |

I Simple Velocity Relativity Problem | Dec 20, 2017 |

A Simulator software for vacuum boundary value problem | Nov 5, 2017 |

B Numerical solution to GRT problems? | May 7, 2017 |

A question of history concerning Rindler Coordinates | Dec 18, 2014 |

**Physics Forums - The Fusion of Science and Community**