Negative energy is not so counterintuitive as you might think - its just the result of where you put your baseline.
(Just gonna restate what michabo said a bit more formally now, sorry if its over-egging the pudding...)
For example, take the surface of the Earth as height = 0. Gravitational potential energy (g.p.e.) is (mass)*(gravitational field)*(height), so a ball weighing 1 kg on the surface of the Earth has zero g.p.e.; however if we define our coordinate system with height = 0 at a level 10 metres above the ground, the ball has 1kg*10Nkg^-1*-10m = -100 joules g.p.e.! So the absolute value of energy is not so interesting as it depends on where we put our zero-point (I'm aware this is a v simple Newtonian model, but the principle still applies). The interesting part is that whatever the value of the total energy of the universe is, it always remains the same
EXCEPT
when we consider the Heisenberg uncertainty principle. This can be recast from the position/momentum principle to a time/energy principle:
delta(energy)*delta(time) ~ hbar
where hbar is Planck's constant divided by (2 * PI). This basically states that a particle, or particle pair, of total rest mass energy delta(energy) may exist for a period delta(time) defined by the above relation (note that this time will be of order 10^-14 seconds = 0.00000000000001 seconds for a very low energy particle). This means that on the quantum scale consevation of energy may be violated! It is all very interesting
Tangata said:
Energy
Has energy existed forever, as the law implies?
In answer to your question, I don't know. If by "forever" you mean since the Big Bang, then yes, energy has always been conserved in a macroscopic sense (as far as we know) i.e. not including the short-lived particles mentioned above. If you mean before that, then I really don't know. My personal belief is that, as conservation of energy may be violated (albeit on very short timescales), energy must be a manifestation of a deeper, more fundamental quantity that is ALWAYS conserved. But that is just what seems logical to me.