I hope it is a conspiracy theory. Can you please explain me why some airplanes leave that trace and in some countries like Turkey, airplanes do not leave that trace behind them? Without needing to go to Turkey, sometimes I have seen multiple airplanes in the sky, some of them with trace, some without. How is this possible?
It's a function of outside air temperature. Essentially the condensation you see behind airplanes is air that is warmed up from going through an engine and cooled down afterwards often forming ice crystals. When you see several aircraft, some leaving a trace and others not, it should be due to their different altitude. You can have layered differences in air masses, sometimes within a few hundred feet. Also jet streams can be very localised vertically and will influence the condensation of water vapour.
Makes sense. So the air in the sky of Turkey has a different density then in other countries?
No! I don't know why you mention turkey. Density is a function of altitude and temperature. Turkey is no different to any other place on earth.