Does Time as we know it, move in a Linear, Exponential, or Random Manner ?

This is another postulation which I have. Bizarre as it may sound, the events leading to the missing (so far) aircraft MH 370 which has thrown up so many conspiracy theories that I thought of my own wacky theory.

See, the concept of time as we know it. While we experience it to be moving in a linear and one directional manner, meaning, only going forward and to us, it appears that it is moving daily and measured and calibrated according to the watches and based on Greenich Mean Time,which in previous millenia, was based on the time taken for the Earth to make 1 revolution around the Sun. I believe Copernicus came to that theory and the Arabs then make Sun dials also so as to get a grasp of this 'dimension'. 

Anyway, coming back to the missing plane theory. What happens if the plane had been taking a path in time, and while for the rest of the world, time moved into an elliptical manner due to some event, but the plane continued in a straight path somehow moving but no one noticing that time had indeed slowed down inside the plane, so for all intents and purposes the plane is still moving along its flight path but in another dimension totally removed from the time as we know it. 

  

So the rest of the world's time is on the elliptical pathway and the plane is on a 'straight' pathway. So that would mean that somewhere in the future, the plane MAY meet with the current time as we know it. Did something make the plane fly at the speed of light ? 

No one inside would be none the wiser. But the rest of the world would react with astonishment. Einstein postulated that as any object approaches the speed of light, time slows down, the stuff of science fiction movies past and present, that the spacemen and women would come back only having felt they were away 2 months in space but the time on earth would be in decades.

Just my overworked wacky brain on overdrive.