I think this is the most interesting question that I have seen asked on this site, but not for the reason you think.
It sounds trite, but you must first ask, "What is time?" Now that question has consumed some great minds and to find a definition for "time" usually brakes down into the catagories listed in most dictionaries. The thermodynamic property of entropy is even used. It says that disorder must always increase unless work is done to correct the disorder and from this it is drawn that time must always go forward.
But to answer your question, most physicist today will tell you that time IS NOT linear. This is a basic concept of the Einsteinien Universe and is well proven by a number of experiments involvimg what is called "time dialation." Which is what the author of the original Planet of the Apes story used to get his hero to a future earth.
In fact, no measurement in the modern world of physics is truely linear because all of the basic units of the metric system, with the exception of the mole which is an integer value of a number of objects present (like a dozen), are all affected by velocity.
Einstein used what is called a Lorentz transform to show the effect of say velocity on time. This has been tested on the Apollo trips to the moon, on jet liners circling the earth, even at different heights in the same building and it has always been proven correct. It goes something like t = [1/(1-(v'/c)^2)^0.5]*t' I believe. It is also called the twin paradox since one would be governed by t while the other by t'. As the velocity of the t' twin approaches the speed of light it would appear to stand still if you could see them and they would think you where buzzing by.
You can get excommunicated from the scientific world if you say there is an absolute linear universe, even if you read Einstein's own work who says there just may be. As for your dreams---they are like the weight of the soul. It exists and by fore thought you can save your soul by fulfilling the requirements of your religion. You solution would only be valid if you were damned, came back and changed and then could prove both.