[Being a schmuck]
Yes, Owl, it was poorly expressed. It could have been worse.
No, Partly, it is not a cute idea developed by science fiction writers. There is no more serious scientific theory than this. And your definition of universe is very 19th century.
[/Being a schmuck]
This will be a brief and an extremely sketchy explanation to your question. It has been discussed many times before here and there are literally thousands of web pages (most of it drivel) covering this subject. If you conduct web searches on all the terms I have bolded below, you will come to the realization after a few years of reading that what you are asking about concerns the fundamental paradox of Quantum Mechanics and addresses the question of what constitutes Reality. You will also come to realize that no one has the slightest idea what the correct answer is or how to conduct quantifiable research to determine the correct answer. Philosophy is apparently an un-American, or at least an unmanly, occupation. This stuff is in the area known as Metaphysics—the realm of First Principles. This is why most physicists ignore this whole problem altogether. It is left to the Sunday preachers (and the nut-jobs, if they are actually different people). If you wish to develop a theory of personal metamorphosis into carrots, you need only to make it mathematically rigorous. Otherwise, only your mother will pay attention to your theory. Needless to say, the Many-Worlds interpretation of quantum mechanics as developed by Hugh Everett has been developed and used (or at least supported) by some of the greatest physicists of the last century: Feynman, Gell-Mann, Hawking, DeWitt, Weinberg, Wheeler.
As quantum mechanics developed, it became apparent that mathematically and experimentally it was extremely accurate at describing what happens but does not have anything to say about the cause of what happens. Let’s take an extremely simplistic event. A neutron by itself decays into (falls apart or, more accurately, is replaced by) a proton, an electron, and an anti-neutrino. These three particles are necessary to conserve all the measurable properties of a neutron. For example, the neutron has no electrical charge so all of its decay products must add up to zero electrical charge. The proton has a +1 charge, the electron has a –1 charge, and the anti-neutrino has no charge.
This neutron decay almost never happens when a neutron is in an atomic nucleus because of the effects of the strong force on it from other neutrons and protons. A free neutron, however, decays under the influence of the weak force when one of the two down quarks making up a neutron becomes an up quark. But that is all background (and can be ignored) to the main event: a neutron decays with a half-life of about 15 minutes. A half-life is the amount of time in which a particle has a 50% chance of decaying. If you watch one neutron it may decay in 1 second or in a million years. If you watch a million of them, 500,000 will have decayed in 15 minutes. This statistical probability approach to describing the actions of particles is wonderfully accurate because there are so many of the little things in such a small space. When you apply this probability analysis to one particle, understanding what’s going on becomes suddenly very elusive.
Erwin Schrodinger developed a wave equation to successfully describe quantum events. Waves of what was not clear. Max Born was the one who determined that it was the probability of the event being described. If you are talking about a quantum particle’s location, the wave equation describes the probability of where it might be found. This is why you will sometimes here of a particle being smeared out. When you actually go looking for it, you find where it is and this is referred to as collapsing the wave equation because there is now the probability of 1 that the particle is where you found it and zero everywhere else. Now, before you went looking for it, the particle was not in any particular location. Not only did you not know where it was, but it was not in any particular place. This has been proven repeatedly by experiment. The classic one being the Double-Slit experiment. (Feynman has said the the Double-Slit experiment contains and clearly illustrates all the paradoxes within quantum mechanics.) It is the action of observing that crystallizes quantum events into the reality that we see all around us in the macro-world.
This is known as the Copenhagen Interpretation of quantum mechanics put forth by Niels Bohr. Now you may not like this. Einstein hated it. This is where his famous quote comes in: “God does not play dice with the universe.” But back to our decaying neutron. The 15 minutes are up and statistically we know it has had a 50% chance of falling apart. But it must be observed to collapse this probability into a certainty. And who observes the observer to collapse their quantum probabilities into a certainty of reality? Infinite regression sets in, and almost everyone quietly ignores the existential crisis popping up in a physics lab and instead applauds the new microwave oven developed upon the sound mathematical calculations of quantum mechanics.
Enter the many-worlds approach. The 15 minutes are up? It’s 50-50? Fine. There are now two universes: one in which the neutron decayed and one in which it did not. There is a little bit more to it but that’s it in a nutshell. No probability waves, none of Einstein’s not-yet-discovered foundation of reality, no Hidden Variables of David Bohm’s. Everything is nice and simple…except for the minor question concerning the mechanism for this proliferation of universes. As you can imagine, if every quantum event since the beginning of time increased the number of universes, there are quite a few of them now. But, hey, if you can have one universe out of nothing, why not an almost infinite number?
I can imagine a universe where events would end up with you being a hang-gliding carrot but not one where you would be morphing back and forth between yourself and a carrot. That would seem to me to go against the logical consistency of reality. Of course, that’s just my opinion. Why is the universe consistent? Why does 1+1=2 today, and again tomorrow? It seems to me it must or else there is no foundation for the existence of a continuum of reality.
If you would like to read an actual book, I suggest Gribbin’s In Search of Schrodinger’s Cat. It is a fairly unbiased and non-mathematical description of different interpretations of quantum mechanics. It’s probably 20 years old now but I should think mostly still current.