is $$\left(  AB\right)  _{I}=\left(  AB\right)  _{0}+P\left(  \left(  AB\right)
_{0}\right)  =-{\psi}_{2}^{0}+P\left(  -{\psi}_{2}^{0}\right)  )=-\left(
BA\right)  _{I}.$$

The phase difference between $O_{3}$ and $O_{2}$ depends on $\left(
CA\right)  _{I}$ and $\left(  BA\right)  _{I}$ and it is $$\left(  CB\right)  _{I}=\left(  CA\right)  _{I}-\left(  BA\right)  _{I}={\psi
}_{3}^{0}-{\psi}_{2}^{0}+P({\psi}_{3}^{0})-P({\psi}_{2}^{0})=-(CA)_{I},$$

**STEP 2**: first natural time shift. The next clock to arrive at $2\pi^{-}$, from working hypothesis 3.2 (\[work2\]), is the clock ${O}_{3}$ at vertex $C$. The situation right before $O_{3}$ receives its kick of energy is when the phase of this clock is $2\pi^{-}$.

At this point we have$$%
\begin{cases}
\psi_{3}^{2} & ={2\pi}^{-}\\
\psi_{1}^{2} & =2\pi-(CA)_{I}=2\pi+(AC)_{I}=2\pi-\left(  {\psi}_{3}%
^{0}+P({\psi}_{3}^{0})\right) \\
\psi_{2}^{2} & =2\pi-\left(  CB\right)  _{I}=2\pi+\left(  BC\right)  _{I}%
=2\pi+{\psi}_{2}^{0}-{\psi}_{3}^{0}+P({\psi}_{2}^{0})-P({\psi}_{3}^{0}).
\end{cases}$$

**STEP 3**: second impact. Clock $O_{3}$ receives its internal kick, at the position $2\pi$.

Now, we have$$%
\begin{cases}
\psi_{3}^{3} & ={2\pi}\\
\psi_{1}^{3} & =\psi_{1}^{2}+P(\psi_{1}^{2})\\
& =2\pi-\left(  {\psi}_{3}^{0}+P({\psi}_{3}^{0})\right)  +P\left(
2\pi-\left(  {\psi}_{3}^{0}+P({\psi}_{3}^{0})\right)  \right) \\
& =2\pi-\left(  {\psi}_{3}^{0}+P({\psi}_{3}^{0})\right)  -P\left(  {\psi}%
_{3}^{0}+P({\psi}_{3}^{0})\right) \\
& \simeq2\pi-{\psi}_{3}^{0}-2P\left(  {\psi}_{3}^{0}\right) \\
\psi_{2}^{3} & =\psi_{2}^{2}+P(\psi_{2}^{2})\\
& =2\pi+{\psi}_{2}^{0}-{\psi}_{3}^{0}+P({\psi}_{2}^{0})-P({\psi}_{3}^{0})\\
& +P(2\pi+{\psi}_{2}^{0}-{\psi}_{3}^{0}+P({\psi}_{2}^{0})-P({\psi}_{3}^{0}))\\
& =2\pi+{\psi}_{2}^{0}-{\psi}_{3}^{0}+P({\psi}_{2}^{0})-P({\psi}_{3}^{0})\\
& +P({\psi}_{2}^{0}-{\psi}_{3}^{0}+P({\psi}_{2}^{0})-P({\psi}_{3}^{0}))\\
& \simeq2\pi+{\psi}_{2}^{0}-{\psi}_{3}^{0}+P\left(  {\psi}_{2}^{0}\right)
-P\left(  {\psi}_{3}^{0}\right)  +P\left(  {\psi}_{2}^{0}-{\psi}_{3}%
^{0}\right) \\
&
\end{cases}$$

**STEP 4**: second natural time shift. The next clock to arrive at $2\pi^{-}$, from working hypothesis3.2 (\[work2\]), is the clock $O_{2}$ at vertex $B$. The situation 