I think what you're trying to ask is whether or not the speed of light can vary due to dilations or fluctuations in an observers' perceived time.
The answer would be no, Einstein's Special Relativity stipulates that all observers see the speed of light as a constant, which in turn causes time...
You wouldn't actually be weightless in a freefall, but you would feel like it because the forces are canceled out.
Einstein did realize that an observer accelerating due to a rocket or other force is analogous to an observer accelerating due to gravity...
If you're talking about the luminous surface density, it decreases by the inverse square rule (http://en.wikipedia.org/wiki/Inverse-square_law) because we live in a 3D universe
If you're talking about e=mc^2 and why the square is in there it's simply because that's what SR spits out
If you really want weight loss try using caffeine or other energy boosters mainly to fuel an exercise routine, but they won't burn too much on their own
Caffeine takes ~30 minutes to get into your system so you shouldn't feel it for a bit. Coffee is too low on caffeine for me, I just take caffeine pills. I could drink 5 cups of coffee and not feel anything, it all depends on your tolerance/familiarity with caffeine.
Have some fun with it. You could curse them out, yell at them, or just completely ignore them. Ignoring them is the most fun, especially if they get all worked up and get angry at you for ignoring them.
Gravitons arise naturally in string theory, they weren't inserted into it. They're a way of describing gravitational phenomena particle-wise. Gravity's still described as a field, as it is in GR, but just a virtual particle field, like electromagnetism, instead of space time curvature. So...
I forget the exact equation, but it basically depends on the kinetic energy of the planet, for which a few scenarios arive:
1) if it has too little energy it goes into the sun
2) if it's within a certain range it gains an elliptical orbit (like our planets have)
3) if it has too much energy...
In general the universe expands homogeneously, but there could easily be asymmetries in this expansion (on a smaller scale), I'd be surprised if there weren't
no, the metric expansion of space has nothing to do with pixels...
The expansion generally obeys the FLRW metric of General Relativity: http://en.wikipedia.org/wiki/Friedmann%E2%80%93Lema%C3%AEtre%E2%80%93Robertson%E2%80%93Walker_metric and there's nothing to suggest that it mathematically...
sounds like you're looking for some type of professional software, you probably won't find anything that meets the specifications for an experiment like that online
You'll either need access to a lab with it or you'll probably have to pay a lot for it
Your best bet is probably just to code...
Anything would turn into a black hole given that its massive and dense enough. A planet given more mass than the sun could turn into a black hole, but it would likely become a star or supernovae first.