Eonwind, the whole laws of thermodynamics are derived from quantum statistics. Well, they were there before quantum mechanics, but these days one can derive the laws from quantum mechanics and statistics. The second law of thermodynamics is implied by unitarity of the quantum theory, thus whenever you have a unitary theory, the second law of thermodynamics holds.
Thus, assuming the second law holds, we require any quantum theory to be unitary, including one of quantum gravity. This, in my eyes, is a sensible prediction for and possible quantum theory of gravity.
In fact, most theorems and things like Maxwell's equations/Newtonian gravity can be derived from quantum field theory and general relativity, and thus the phenomena we see every day are just large scale limits of these two theories.
Here, my point of view is that as thermodynamics etc. are just generalizations of QFT, the quantum theories are valid to be applied in large scales. We are, in fact, wave functions. Albeit heavily localized decoherent ones, that is why we do not notice quantum phenomena in our every day lives (Well, some).
I agree that extending these to something like consciousness is far from proper science, call it pseudo-science if you wish. But we are here to speculate on one of the biggest mysteries in life, anyway

Perhaps we can agree to the following points?
a) In fact, we CAN measure things in the past. And it has been done experimentally. It is called a quantum eraser.en.wikipedia.org/wiki/Delayed_choice_quantum_eraser
b) Thermodynamic laws can be derived from quantum mechanics and statistics alone.en.wikipedia.org/wiki/Quantum_statistical_mechanics
c) If there is such a thing as a quantum gravity theory, then everything should only be quantum mechanics at a large scale.I fully agree that the concept of time travel is something that would violate a lot of physical expectations. A past subject to quantum uncertainties, however, would allow for time travel, as any paradox appearing would just result in a zero likelihood.
Then, the way time travel would be viewed is: Time and space are one, and you are traveling along a time-like curve on spacetime. You have a clock with you that gives you your "eigentime", i.e. the time you as an observer measure to pass.
However, the world is not just a set of four dimensional points. You, on your timeline, have also something that is an additional variable, i.e. your measurement of the world. Going back into the past (the same point in space time) occurs, according to your measurement, later than when you were there before.
On going back, there however is a different measurement of the world. You are back on the same point in spacetime, yet you measure a different world, namely one where you have travlled back in time.