Dear Robert,
To be honest, I totally forgot about Compton or DeBroglie wavelength. The idea that particles are just wave-functions with photons trapped inside is probably the kind of creativity that Steve was referring to. By using a funny little neumonic trick, I can manipulate difficult concepts more easily.
I looked at the Compton wavelength and noticed the derivaiton that's been clattering around my head for a while.
[math]E=hf=\frac{hc}{\lambda}=mc^2[/math]
Only, what I did was I rearranged it to get,
[math]m = \frac{hf}{c^2}[/math]
Then, I borrowed Newtons force equation, which might be illegal because I'm mixing Classical with quantum mechancis.
I made the impassioned argument that photon velocity does not change in a gravity field, but that frequency does change. So I popped off the
[math]\frac{d}{dt}[/math]
and basically derived what I call the Shift Photon Equation,
[math]F=\frac{hdf}{cdt}[/math]
It looks like an analogue to the Newtonian force equation, but it's for photon frequency.
The reason that time dilation is actually important is because gravity produces time dilation. So I argued that there will a time dilation experienced by a photon that travels from A to B. Assuming A and B are time dilation, then the frequency change obeys,
[math]T_B = \frac{T_A f_A}{T_B}[/math]
To make a long story short, these two seemingly unrelated derivations suggested to me that it might be possible to build a gravity beam or a tractor beam.
In your completely honest opinion, does my argument suggest that maybe someone should run the experiment to see if it really is a tractor beam?