In Einstein's Theory of General Relativity, the gravitational field itself is an objective reality possessing some energy, which is negative As two point masses move in the gravitational field caused by them, their kinetic energy + the energy radiated as electromagnetic waves is at the expense of the energy of the initial gravitational field.
However, working with the energy of a point mass in any non-quantum theory is dubious, since the energy of the electromagnetic field of a point charge or of the gravitational field of point mass is infinite. So, the difference between the initial and final energies of the gravitational field is a difference of two infinities and this is an undefined quantity. There are systematic methods worked out in Quantum Field Theory that give a prescription as to how to perform this subtraction, which are known under a common name of regularization. Another way to think about it is to treat the masses as uniform spheres of some non-zero radius. Then the divergences disappear and one can take the limit of zero radius in the end result.
I don't understand this. my humble apologies
can we agree that it takes energy to change an objects direction?
given a grid with the following specifications:
the sun is the center (0,0,0)
the earth is always at 0 height along the z-axis
X and Y axis meet perpendicular and move out through these points: X through the point at which earth is at solstice and Y through equinox.
given this grid, one can plot the earths (or any objects) movement
look here:
asteroid forgeblah (nonexistant) is hurtling through space in a single, linear direction. it's path will take it 100,000 miles from the sun when, on it's current path, it should continue. after a time, it comes in close enough proximity to the sun that one of three things happens.
1)it enters orbit around the sun
2) it changes direction and flies off
3) it changes direction and flies into the sun
there. no matter what happens, energy has come into existence through gravity.
situation #2
imagine that the universe stops moving, and friction is eliminated.
if I lay down on the ground my potential energy is 0 correct?
if I exert force on the ground, I begin moving up correct?
than as I move upward, according to newton I should continue upward until a force acts upon me.
the only reason I would fall back to the earth is gravity. this gravity must be a force. the force must exert energy. where does the energy come from? you tell me.
either way, it seems to me gravity is impossible