<preface>
This may be a bit on the heavy theoretical side, but bear with me. There will not be a quiz at the end.
<gnu>
In 1957, Hugh Everett III launched his interpretation of the consequences of quantum mechanics and Heisenberg’s Uncertainty Principle. According to the uncertainty principle, the fundamental particles of our world are impossible to pinpoint in time and space. Space, though fundamentally digital – more on that later – is at a certain scale fuzzy. There is a random demon loose in our world, and at every tick of our Planck time clock, there are untold numbers of reactions amongst these particles. Every outcome is random, albeit to varying degrees of several orders of magnitude.
Take the very simple situation of two particles on a collision course in deep space. Let us further assume that mentioned particles are electrically neutral; no opposites attracting. Deep in space we have barely no gravitational pull, and any nuclear or other electromagnetic distortions are reduced to the ever haunting background radiation from the Big Bang herself. Hence we have a very simple and predictable situation, much like a very basic exercise in classical mechanics.
In classical mechanics, this is indeed a very simple exercise. If you know the velocities – their speed and direction, that is – of the particles, you can easily calculate what will happen when they hit each other. If you know their initial positions, you can also easily calculate where they will collide. Assuming you know their individual masses, you can also use their momentum – mass times velocity – to show how fast the particles will travel after the collision. You can even throw in differently charged and sized particles traveling in arcs guided by gravity at speeds close to the speed of light, using relativistic mechanics, and the outcome will still be predictable (given that you got your Lorentz transformations correct, naturally).
Enter the demon.
Let us remove one of our particles, leaving the last particle travel through space alone, at a velocity yet undisclosed. In fact, we don’t even know the exact position of our quantum Quaoar of particle space.
The uncertainty principle states that you cannot know exactly where a particle is at the same time as you know its velocity. To observe the location of our particle, we have to measure its position, yet however we choose to measure the particle, we will change its velocity by bombarding it with photons to make it visible. Every particle has to be expressed as a wave function. In this formulation, the instantaneous state of a quantum system is described by a quantum state, which encodes the probabilities associated with all measurable properties, or “observables”. Examples of observables include energy, position, momentum, and angular momentum. Observables can be either continuous (e.g. the position of a particle) or discrete (e.g. the energy of an electron bound to a hydrogen atom.)
Generally, quantum mechanics does not assign definite values to observables. Instead, it makes predictions about probability distributions; that is, the probability of obtaining each of the possible outcomes from measuring an observable. Naturally, these probabilities will depend on the quantum state at the instant of the measurement. (There are, however, certain states that are associated with a definite value of a particular observable. These are known as the eigenstates of the observable.)
There are several classes of phenomena that appear under quantum mechanics which have no analogue in classical physics.
The demon of it all is the uncertainty principle, which is the phenomenon that consecutive measurements of two or more observables may possess a fundamental limitation on accuracy. In our free particle example, it turns out that it is impossible to find a wavefunction that is an eigenstate of both position and momentum. This implies that position and momentum can never be simultaneously measured with arbitrary precision, even in principle: as the precision of the position measurement improves, the maximum precision of the momentum measurement decreases, and vice versa. Those variables for which it holds (e.g. momentum and position, or energy and time) are canonically conjugate variables in classical physics.
Another quantum effect is the wave-particle duality. Under certain conditions, microscopic objects like atoms or electrons exhibit wave-like behavior, such as interference. Let photons stream through two very narrow slits, so that you will get an interference pattern on the wall beyond, like waves from two rocks dropped in a pond generate a mix of enforced and canceled waves as they propagate.
It has been shown that, under certain experimental conditions, the same type of objects exhibit particle-like behavior. Constrain the stream of photons to a trickle – it can be done in your highshool lab! – and put a piece of film in front of it. You will see the points of individual atoms building up on the screen, one by one, given that you have a good microscope. In the beginning, the scattering will seem random, the uncertainty principle kicking in and decides which slit the individual photon has passed through, something we observe when the particle hits the film. What is disturbing is when you leave the stream on, letting many photons through, one by one. The result will not be random at all, rather it will be – you guessed right – the very same interference pattern we observe with a constant stream of wave-light. The uncertainty demon makes sure the photons know their place, based on the randomness of the past. Or rather, the statistical inevitability of the future.
Yet it is our conscious choice to set up the experiment which forces the particles to collapse from wave state to observed reality. In quantum physics, the particle cannot exist until it has been observed. This is the essence of the story of Schroedinger’s ill-fated cat-in-a-box. If the cat’s demise is triggered by something determined by quantum uncertainty, for example the decay of one particular atom into another element, we cannot determine whether the cat is alive or dead until we open the box and take a look (or otherwise measure its state). Until we choose to look, it is both alive and dead, or none of them if you prefer. By observing, we change the universe.
The most disturbing phenomena are however the consequences of this uncertainty. states that, since there exists a contiunous range of possibilities for any interaction based on the quantum effects of all particles involved, there exists an unlimited number of possibilities. For every quantum interaction, the world splits into the range of possibilities of outcomes from the quantum wave functions. For everything that happens, an unlimited number of different futures are created. An unlimited number of pasts lead up to this very instant, and you affect your universe by merely observing it. For every planck time unit of existence, reality spawns new realities, each one slightly different from the rest. The many-worlds theory means there is a world where you are the supreme ruler of Earth, another where you died at age three in a tragic accident, yet another where no Earth exists at all.
What does it matter whether God plays dice, if he has an infinite number of them?
Take an example. I, the narrator of this piece of text, is a construct in the writer’s mind, yet somewhere, sometime I do exist – in a world which is real to me in the very same sense as the one you currently live in. Hence, everything in this blog is true, somewhere, somewhen, now, never, always. For a consciousness occupying a single reality stream in a tiny fraction of spacetime, words do not exist to describe the relations between these worlds. This also means that any references to persons in this blog are neither fictional, real, dead nor alive. They are very much real in my world, though not necessarily in the same way as you may know them.
Everything is not possible, it is inevitable, it has already happened, and always will happen.
(science stuff lifted from Wikipedia and mercilessly mixed with pure pipe dreams)
</gnu>
</preface>
In the world we share, however, New Scientist reports (and others pick up) that an Oxford team of scientists led by Dr. David Deutsch (author of The Fabric of Reality) has shown that the multiverse theory of endless branches of universes can explain some of the key equations of quantum mechanics:
“This work will go down as one of the most important developments in the history of science,” says Andy Albrecht, a physicist at the University of California at Davis.
If your head is not full yet, you can have an after-article brain snack reading up on Quantum Darwinism.