QM: Does Time exist?

What if God didn't create the universe, but rather an infinitesimal part of his infinite being became the universe?  BTW, an infinitesimal part of infinity is still infinity. 

I don't pretend to know the truth or to have the answers. Anywaay:

Book and Freewill...the way the pages are aligned has surely some constraints. Teleport is possible in quantum mechanics, but non of us can be instantaneously teleported somewhere else. Consequently the page sequence can't be completely randomic.

Partially randomic,maybe. If i take a page, I guess there are many possible adjacent pages. This is where the free will can be. All the possibilities are in the book, but not all of them become actual.

About god... The idea of god coincident with the Universe is more or less the idea of Spinoza and partially of Einstein. But Can god/universe be conscious of what's inside?

We are not conscious of the chemical reactions that happen inside our cells even if they are part of our bodies. That god is likely indifferent to what happens inside

I believe the Planck length is the shortest possible distance. If my memory is correct, attempts to measure smaller distances require such an amount of energy that a black hole would form. It sounds like the laws of physics break down beyond such barriers (or are inapplicable). I think the assertions you make may be correct. 

I wish I had paid more attention in the one physics course I took dealing with QM, but that was more than 30 years ago and never dealt with topics like this.

We have used the metaphor of turning the pages of a book. In that case it may be a sheet, instead.

What we experience is not how the universe really behaves. Of course, even if time doesn't exist, I can be late at work because this is how I perceive it. 

Understanding how it really works is the main purpose of every science.

You can't directly perceive the time dilation because it's too little, but your mobile phone does.

Think to the holographic principle: if we are really projections and the universe is the bi-dimensional internal surface of a sphere, this won't prevent me from crashing on a 3d wall. The omnipresent pages of the book won't make me back to life after my death, but knowing how they are shaoed may possibly give us the capacity of travelling in time or to alternate realities (well this is too SciFi, but it's just to make an example). 

What if time exists but is not linear? Somebody, maybe Kip Thorne but I'm not sure, has made some calculus about the possibility of life in universes with different numbers of dimensions and realized that an universe with two time dimensions can't allow chemistry.

Kurt Godel has examined the possibility of time travels and has found a solution of the Relativity equations that allows it, but it's possible only in an Universe shaped as a cylinder rotating on its asses at a certain speed, so it's nothing more than a mathematical construct.

Barbour's universe (let's call it this way) comprehends all the possible permutations of 10^80 protons inside the volume of the actual Universe. It's a very big number but it's not infinite. 

If the universe is infinite, an exact copy of us exists at approx 10^10^113 meters from here, and infinite copies are preset. Infinity is a bad thing in an actual universe: it means that there are part of it where Mickey Mouse and Cthulhu are real.

But your metaphor of the "play" mode is very consistent and doesn't contradict the possibility of a Barbour's universe. I too have experienced something like temporal anomalies, but I don't trust on my perceptions. They were likely an illusion created but my brain trying to explain something apparently weird, the same thing that brain does when we catch external stimulations while we dream.