The Spacetime-Interval does not Distinguish Between Events' Nature

If an event $E_{1}$ occurs at location $L_{1}(x_{1}, y_{1}, z_{1})$ and time $t_{1}$, and another event $E_{2}$ occurs at the location $L_{2}(x_{2}, y_{2}, z_{2})$ and time $t_{2}$, with $t_{1}$ $\le$ $t_{2}$, in the Minkowski spacetime, the squared distance $d^{2}(E_{1}, E_{2})$ between them is the same and equal to: \[ d^{2}(E_{1} ,E_{2} )=c^{2}(t_{2} -t_{1} )^{2}-[(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2}+(z_{2} -z_{1} )^{2}] \] no matter what kind of events we have! For example, if one has the event \textit{E1}$=$\textit{\textbraceleft John drinks\textbraceright } and the event \textit{E2}$=$\textit{\textbraceleft George eats\textbraceright }, there is no connection between these two events. Or if one has two connected events: \textit{E1}$=$\textit{\textbraceleft Arthur is born\textbraceright } and \textit{E2}$=$\textit{\textbraceleft Arthur dies\textbraceright }. There should be at least one parameter [let's call it ``$N''$] in the above ($\Delta s^{2})$ spacetime coordinate formula representing the \underline {event's nature}.