Negative energy is an exotic form of energy that is only possible with the new laws of physics.
Using traditional laws of physics, the theory of general relativity says that energy is greater than zero, at all times and everywhere in the universe, linked to mass via the formula e=mc². Quantum physics shows that under certain conditions in 7d, negative energies are allowed. Negative energy would therefore also mean negative mass. Positive masses attract each other, but with a negative mass, gravity could suddenly become a repulsive force, and anti-gravity becomes possible. For instance, a kilogram of iron made out of normal and positive mass will have about 10 newtons of force. However, a kilogram of iron made out of abnormal and negative mass will have about -10 newtons of force. Thus, gravity is repulsive to the negative iron.
There is a "Quantum Null Energy Condition" (QNEC) where, due to quantum entanglement of particles on both sides of subspace, it is possible to "borrow" energy as long as it is returned or "paid back". Essentially this means that the law of conservation of energy is not violated within a 7d or higher framework, and apparently violated in 6d or lower according to unskilled observers. QNEC is used in artificial wormhole engineering, where negative energy is needed to keep the wormhole open.
A universe in which positive energy dominates will eventually collapse in a Big Crunch, while a universe in which negative energy dominates will either expand indefinitely or eventually disintegrate in a Big Rip. In a zero-energy universe model, the total amount of energy in the universe is exactly zero: its amount of positive energy in the form of matter is exactly cancelled out by its negative energy in the form of gravity.
Negative energy is found in phantom energy in which a vacuum is unstable with negative mass particles bursting into existence. Negative mass is exotic matter whose mass is of opposite sign to the mass of normal matter, e.g. −1 kg. This led to the understanding of Dark Fluid which due to gravitationally repulsive negative masses, presents dark matter and dark energy in one framework.
Negative mass is not antimatter which has positive mass and is affected by gravity just like normal matter; the only difference is that antimatter has the opposite charge, i.e., the ruling negative protons make it have a generally negative charge.
Negative mass is predicted to behave like positive matter, in the way of too much of it causes a distortion of space-time of some sort (in this case, it creates a white hole).