Why do electric field lines not form closed loops?

(N/A) Electric field lines originate from positive charges and terminate at negative charges.
If they were to form closed loops,it would imply that the electric field is conservative,which contradicts the property of electrostatic fields.
According to Gauss's Law,the net flux through a closed surface is proportional to the enclosed charge.
Since electrostatic fields are conservative,the line integral of the electric field around any closed path is zero,i.e.,$\oint \vec{E} \cdot d\vec{l} = 0$.
This mathematical condition ensures that electric field lines cannot form closed loops,unlike magnetic field lines which do form closed loops because magnetic monopoles do not exist.