Let us consider two frames ** F (x, t)** and

*I consider **the two Lorentz transformations:*

*a) x_1 = gamma * (x -v * t)*

*b) x = gamma * (x_1 + v * t_1)*

With ** gamma** I…

There are two twins, ** twin A** and

*IL GEMELLO ASTRONAUTA E’ PIU’ GIOVANE*

Il gemello astronauta si muove a velocità costante ** v** nel sistema di riferimento della Terra. (per dirigersi verso una stella che appartiene al sistema di riferimento terrestre, la distanza Terra-stella è quindi una lunghezza ben definita in tale sistema di riferimento)

Nel sistema di…

Let's imagine a spaceship moving in the frame of the Earth with uniform rectilinear motion at speed ** v**, we know that the clock of the astronaut twin slows down compared to all the clocks of the frame of the Earth.

In this case it's not…

** -v * t_1 = -d** (for any distance

Come to think of it, the Earth

at time** t_1 = d / (v * gamma) **reaches…

*Solving the CLOCK PARADOX means solving a system of two equations with four unknowns.*

*I consider **the two Lorentz transformations**:*

*a) x_1 = gamma * (x -v * t)*

*b) x = gamma * (x_1 + v * t_1)*

*With **gamma** I obviously indicated **the Lorentz factor**, and I do…*

*If **x = v * t** (the spaceship moves with uniform rectilinear motion in the frame of the Earth), then:*

*1)** in the frame of the spaceship **there are gamma copies **of the Earth-star distance contracted moving (with uniform rectilinear motion) at speed **-v**,*

*the times **t = d /…*

If the astronaut twin launches a rocket at the initial time ** (t = t_1 = 0 s)** at a speed

The clock of the astronaut twin slows…

Solving the twin paradox means solving the system of two equations:

*a) x_1 = gamma * (x - v * t)*

*b) x = gamma * (x_1 + v * t_1)*

With ** gamma** I obviously indicated the Lorentz factor, I do not consider the other two Lorentz transformations because they…

Consider two frames ** F** and

*You have to choose:*

** a)** the frame