Some interesting things...
So I was trying to redo effectively a few weeks work today by doing what my advisor intended instead of what I origionally interpreted his assignment for me to be, by reading papers today. I had some minor luck in regards to those annoying neutrinos whom suggested initially that matter and anti-matter would likely fall at the same rate in your generic gravitational field.
You see, neutrinos have mass, very little mass. And not only that, but what makes up their mass is quantum mechanically speaking, a set of 3ish masses, with each neutrino having a different amount of each. In quantum mechanics however, particles under go a spreading of sorts of their wave function. So they may start out as very nearly a point particle, but over time spread out probability wise. So instead of most certainly being place x, they have a probability of being place x so much of the time, and x + a little more a different amount of the time.
The problem comes in that part of the mechanism that handles this in massive particles is the mass. So for the neutrinos, if one has a set 'wave number' (effectively the momentum) for a neutrino, each of the mass components would under go a different spreading. So suddenly the probabilities for finding the different parts of the neutrino don't match up any more. So there could be instances where one would expect to see part, but not all, the neutrino in one location and a different part some where else! WTF, mate? There's a little more to it than that, but that's the basic idea.
So yeah, that was my mind blowing bit for today. But not all is lost! If this process indeed would result from normal quantum considerations, and neutrinos don't actually do this, we can of course fix the problem! How do we do this? Well, we modify Einstein's old buddy, the Lorentze Transformation! By making the scaling of energy and mass in their relation to momentum dependant on the energy, it may be possible to remove this crazy trick and force all the neutrino to work as one.
Of course that was just my first reading of this interesting tid bit. And I also realize I've spooked alot of you off by this point, but no worried! I still think its neat!
You see, neutrinos have mass, very little mass. And not only that, but what makes up their mass is quantum mechanically speaking, a set of 3ish masses, with each neutrino having a different amount of each. In quantum mechanics however, particles under go a spreading of sorts of their wave function. So they may start out as very nearly a point particle, but over time spread out probability wise. So instead of most certainly being place x, they have a probability of being place x so much of the time, and x + a little more a different amount of the time.
The problem comes in that part of the mechanism that handles this in massive particles is the mass. So for the neutrinos, if one has a set 'wave number' (effectively the momentum) for a neutrino, each of the mass components would under go a different spreading. So suddenly the probabilities for finding the different parts of the neutrino don't match up any more. So there could be instances where one would expect to see part, but not all, the neutrino in one location and a different part some where else! WTF, mate? There's a little more to it than that, but that's the basic idea.
So yeah, that was my mind blowing bit for today. But not all is lost! If this process indeed would result from normal quantum considerations, and neutrinos don't actually do this, we can of course fix the problem! How do we do this? Well, we modify Einstein's old buddy, the Lorentze Transformation! By making the scaling of energy and mass in their relation to momentum dependant on the energy, it may be possible to remove this crazy trick and force all the neutrino to work as one.
Of course that was just my first reading of this interesting tid bit. And I also realize I've spooked alot of you off by this point, but no worried! I still think its neat!