Digitalism said:
I thought the many worlds theory with possible variations in the values of the fundamental constants was a standard interpretation of the schrodinger equation?
Its easy to get confused reading populist literature.
A few points:
1. Its not the Schrodinger equation that needs interpreting - its the so called collapse issue:
http://en.wikipedia.org/wiki/Wave_function_collapse
2. What you are thinking of is the Many World interpretation that solves the issue in a very elegant and beautiful way. No collapse actually occurs - everything simply evolves according to the Schrodinger equation.
3. However due to a phenomena called decoherence, when certain conditions are met, and they generally occur when an observation happens, the wave function can be 'partitioned' in such a way that each partition experiences a different outcome of the observation.
4. The wavefunction continues on unaffected but the MW Interpretation interprets each partition as a separate world.
5. This is exactly the same as the standard QM formalism everyone accepts except it is assumed one world is selected and the wavefunction discontinuously changes. That's the collapse issue and different interpretations address it in different ways. In Many Worlds it never actually occurs, which side steps it very neatly indeed.
6. As I am won't to say all interpretations suck in their own unique and inimitable way. For me this exponentially increasing monstrously large number of worlds is a little too weird - but each to their own - the mathematics is VERY beautiful and that exerts a strong attraction to those of a certain bent. I know because I am one of them.
Check out:
http://scienceblogs.com/principles/2008/11/20/manyworlds-and-decoherence/
It's purely an interpretational thing to get around the collapse issue. There is no way for these worlds to interact with each other or anything like that.
If anyone could figure out a way it differed from the standard QM formalism everyone accepts it wouldn't be an interpretation - it would be a different theory. But it was deliberately cooked up to not differ so that is highly unlikely - I won't say impossible because I use that word rather sparingly - but pretty close to it.
If you would like to really understand this stuff beyond the, to be blunt, often confusing sensationalist rubbish in much of the populist 'press' etc (by this I mean the gibberish found in movies like What The Bleep Do We Know Anyway - not the actual thoughtful writings of serious scientists such as Brian Cox) get a hold of the books by Lenny Susskind:
https://www.amazon.com/dp/046502811X/?tag=pfamazon01-20
And the long awaited but soon to be published one on QM:
https://www.amazon.com/dp/0465036678/?tag=pfamazon01-20
Also you can have a look at the video lectures here:
http://theoreticalminimum.com/courses
Thanks
Bill