Tuesday, May 8, 2012

The Is: The Many Worlds Interpretation of Quantum Physics



This series of posts is based on Brian Greene's The Hidden Reality, and I highly recommend buying it if you are interested in exploring the subject further.

Quantum physics came about at a time when people were wondering if they had reached the End of Science at the end of the 1800s.  Newton's concept of gravity had ideally described motion for hundreds of years.  Maxwell and others developed Maxwell's Equations which seemed to completely explain the nature of light and electromagnetism.  All was good with the world.  Lord Kelvin's indicates the general notion at the time:
"There is nothing new to be discovered in physics now. All that remains is more and more precise measurement" - Lord Kelvin, 1900
Little did they know that an obscure worker at the Swiss patent office, Albert Einstein, was spending his evenings developing his Special Theory of Relativity which would be published in 1905.  That would lead to a tectonic shift in the way all of us perceive the universe, would meld space and time, and would climax with two giant mushroom clouds over Japan in 1945.  But we're here to talk about another breakthrough round about the same time.

Quantum physics all came about because someone wondered why things glowed red hot.  Or more particularly why things glowed a certain colour based on their temperature regardless of the material.  Classical physics was having a hard time explaining this until a fellow named Max Planck offered that you could get the math to work if you made it so that electromagnetic could only be emitted in multiples of a certain of a certain package size, called a "quantum."  Electromagnetism, at small scales, was not continuous, but discrete, made up of bits, like a digital computer.

Well, like any good physicist, Planck and other physics luminaries kept going, and it was one of those extremely satisfying moments like when you get your fingers under a corner of wallpaper and a whole huge swath of it rips up in one piece.  Several groundbreaking findings followed that laid the basis for quantum physics.

Heisenberg's Uncertainty Principle showed that you couldn't know both the position and the velocity of a particle exactly.  You could know exactly where it was, but nothing about its velocity, or vice versa.  But not both.  Not just because they didn't have machines sophisticated enough to measure them, but because, at the tiny subatomic scale, reality itself became smeared.  At this scale, an electron or a photon could not be thought of as a particle or a wave, but a particle and a wave.

Erwin Shrodinger developed an equation to predict the probable location of subatomic particles.  Again, because of Heisenberg's Uncertainty Principle and the mathematics involved, you never knew exactly where the little buggers were hiding, but with Shrodinger's equation you could say "I'll lay two to one odds the electron is over there" and come out a winner at the end of the night.



So in twenty years they went from the End of Science to black holes, the gravity-warped space-time continuum and the idea that the stuff of nature, at the subatomic substrate doesn’t really exist per se, but just kind of exists.  This is what caused Reginald Bottomsley III  to remark, at the 1927 World Physics Conference, "What f%@kery is this?"  OK, I made that last part up.  But they were all thinking it.

But was this "probability wave" of Shrodinger's real or just a mathematically convenient description of what was happening?  The famous double-slit experiments of the 1920s showed that the electrons behaved, in reality, like both particles and probability waves.  If you're interested in the double-slit experiment, here's  a good little youtube video on it.



Now if your head is spinning, don't worry.  That's pretty much everyone's reaction upon exposure to the double-slit experiment.  An electron exists as a probability wave, harbouring within in it every possible future.  But when you point a machine to look, an electron jumps out at you singing Here I am / The one that you love.  It's only a probability wave when you're not looking,  but when you look at it, it becomes a particle at a point in space.  Like little children, the electrons behave completely different when people are watching.  What the heck is that all about?

View of electrons through microscope.  Note the remarkable similarity to 80s cheezerock band Air Supply.

 Well all the eggheads got together, led by Neils Bohr, the father of quantum physics, and came out with something called the Copenhagen Interpretation.  The Copenhagen Interpretation of quantum physics is that matter and energy exist as probability waves until such time as we decide to take a peek at what is going on.  It is this act of observation itself that causes the collapse of the probability wave, forcing one probability to actually happen (P=100%) and all the others to not happen (P=0%).

This remains, probably, the most popular interpretation, but it has some problems.  Why, for example, should an electron care if someone is watching it?  What does "observation" mean?  Does a sentient being need to be involved?  Will an electron show up singing the Greatest Hits of Air Supply if the measuring machine is on but the grad student whose supposed to be watching it is playing Second Life? Who or what chooses which probability actually happens?  And then there's the niggling detail that Shrodinger's Equation doesn't really allow for a sudden collapse like that.

So another interpretation of quantum mechanics was proposed. In this one, the probabilities of the events that didn't happen didn't collapse to zero.  All possible events happened, each in a co-existing universe.  The universe splits for each outcome.  A different parallel universe is created for each possibility.  To use a not-completely-accurate "macro" analogy, when you roll a pair of dice, eleven universes are created, one for each outcome.  We are part of a vast, complex probability wave function containing every possible future of every subatomic event within it.  Anything that ever could have happened did happen—not necessarily in the universe we experience but in other, parallel, universes that are being instantiated by the trillions every microsecond from all the probability waves of the subatomic particles in our universe.

This is the Many Worlds Interpretation of quantum physics.  It's got it's issues too, but it's preferred by many of the great minds of quantum physics, not the least of whom is Stephen Hawking.  Many Worlds or the Copenhagen Interpretation?   It's somewhat of an academic question right now.  Since the various probability waves decohere, it doesn't seem that we can actually communicate with any of these parallel universes.  And no one has thought of a way to feasibly test the Many Worlds Interpretation (though there are some ideas).

But like the infinite universe and the bubble universes of the last column, the Many Worlds Interpretation is completely mathematically consistent.

So now we've got The Is containing, potentially, an infinite number of infinite universes and a parallel universe for every possibility of every subatomic event that ever happened or ever will happen in all those universes.  But we're not done yet.

Next up:  Simulated Universes.

Friday, May 4, 2012

The Is: Parallel Worlds, Infinity and the Cosmic Chicken

Living in the philososphere, as I do, is a bit of a curse sometimes.  You get yelled at because you were thinking about what's outside the universe, or whether an omniscient god and free will are logically incompatible.  You live inside your own head too much. You miss what's going on around you.  This is why my last words are likely to be "What bus?"

I spend far too much time wondering where the universe ends and where time began.  As far as bad habits go, it could be worse, I suppose.   I recently finished a fascinating book called The Hidden Reality by Brian Greene, Professor of Physics and Mathematics at Columbia University.  Great read.

Our observable universe is a sphere of about 93 billion light years in diameter.  Although the universe itself is only about 14 billion years old.  Odd:  if the speed is light is the universe's speed limit, how could the universe gotten bigger than the distance light will have travelled since the Big Bang—13.75 billion light years?
The Observable Universe.  The Virgo Supercluster, of which our galaxy is a part, is too small to be seen here.  However if you look carefully, you can spot spot my ego.
The answer, at least in current cosmology, is that the Big Bang didn't happen in space.  It created space.  And time.  And the speed of light is the fastest thing in space, but that limit doesn't apply to the expansion of space itself, for which we know no limit.  Right after the big bang, it is surmised that space itself expanded quite quickly.  Like from the size of a mote of dust to the size of the observable universe in far, far less than a billionth of a second. 

Timeline of the universe including early inflaton field expansion.  Or a funny looking bullhorn.
That allows for a pretty big universe outside of what we can see if it.  Actually the universe could well be infinite.  Anything outside that 93 billion light year sphere is not known and cannot be known by us.  But if it is infinite, that means that there must be other solar systems identical to ours out there.  After all, in a finite volume of space (say the solar system) there are only a finite number of ways that atoms can be configured.  If the universe is infinite, you are bound to come across an identical arrangement sooner or later.  Professor Greene even does the math.

A googol (not the search engine) is a very large number.  It's 10100, or a 1 with a hundred 0s after it:

10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

It's a pretty big number, far greater  than the number of grams in the observable universe (about 1056) and around a trillion times bigger than the number of photons in the known universe (1088).  

Graphic representation of the concept of a googol.

Also, my son's number is going to be a googol when he plays for the Canucks. Take that, Gretzky. 

Well, I stole their graphic, I should at least plug the product.  You can buy this  American Apparel.
A googolplex is the largest number with a name.  It's ten to the power of a googol (10googol or 1010100).  I wrote googol out above, but if I were to write out the zeros after googolplex in a similar manner, the known universe would likely come to an end far before I got a decent start on it.  Even if I got the fastest computer in the world to do it for me.

Anyways, Dr. Greene has come up with the first practical application of that number that I've seen.  You'd have to walk about a googolplex steps, on average, to reach another system just like ours, with an Earth upon whom resides another you reading this exact same sentence right now.  As a matter of fact, if the universe is infinite, there's an infinite amount of such identical Earths.  And your Other Yous are all right now thinking of each other.

And even if your lottery ticket doesn’t pan out next week, you can take solace in the fact that there are an infinite number of Other Yous in the infinite universe who will be multi-millionaires next week. Isn't infinity fun?

A philosophical questions arises:  if the universe is infinite, does that mean everything is?  Well, no, not if you're talking about our universe. Our universe is bound all over (from what we know) by the same fundamental laws.  Every electron has a mass of 9.109 382... x  10-31 kg no matter where you are.  Everywhere in the infinite universe the value of universal gravitational constant, the cosmological constant, and the speed of light in vacuum are the same. So anything that is physically possible within the bounds of these universal laws exists in an infinite universe, but anything that breaks those laws cannot. 

But that's OK, we've got a work-around.

The inflaton field theory, shown in the bullhorn diagram above, states that inflaton particles expanded the space of our universe early on until the inflatons wore themselves out allowing an environment where subatomic particles, and then atoms, and molecules and stars and planets and us could happen.  But in an interpretation of that theory, the inflaton expansion—that is space expanding and trillions upon trillions faster than the speed of light—is still ongoing.  Now and then, in areas, the inflaton fields diminish allowing the precipitation of normal matter creating bubble universes in the inflaton field.  This is the Swiss Cheese model of the universe--the cheese part being the quickly expanding inflationary field and the holes in the cheese being bubble universes.

These universes may well differ than ours. They may not be held to the same basic physical laws. Protons may be a little lighter.  Pi might be equal to 3 instead of 3.1414... In 11-dimensional string theory, our space consists of 3 spatial dimensions and one time dimension.  The other dimensions are all wrapped up at the subatomic level, like a seed that never sprouted.  But other universes could have different dimensions than the four space-time dimensions we perceive.  Or it could have five, six or seven dimensions.  I string theory there are some 10500 dimensional configurations for universes currently.

Due to kind of Einsteinian judo flip where space and time change place, these bubble universes, while being finite when viewed from the cheesy part of the Swiss Cheese model (the inflaton field) are infinite when viewed from the inside the bubble.

So now you potentially have an infinite number of infinite universes, including an infinite amount with fundamental properties different than our own.  But still governed, overall, by the fundamental mathematics of the inflaton field itself. 

Entering an entirely speculative realm, you could kick it up one more notch still and hypothesize that our big bang that created this Swiss Cheese multiverse was just one of many--say one of an infinite number of big bangs with infinite variety--all caused by some other primordial first cause.  If the Big Bang is the Cosmic Egg, then this would be the Cosmic Chicken laying an infinite number of eggs.  

Hubble Telescope view of Cosmic Chicken.

This leads to an infinite number of multiverses containing infinite numbers of infinite universes.  And you could kick it up another notch saying that there are an infinite number of Cosmic Chickens.  As a matter of fact, you could kick it up an infinite number of notches.

Anyway, if you notice while talking to me one time that I seem to be spaced out, that's probably what I'm thinking about.

Postscript: this term "multiverse," meaning this universes and all the other potential universes out there I find rather awkward and less than inspiring.  I'm going to rename the multiverse The Is, simply because anything that isn't in the multiverse Isn't.