According to my understanding of the dirac equation, there's an infinite sea of electrons occupying all negative energy states which prevents an electron from dropping to lower and lower energy states down to negative infinity.
Since these are electrons, they have obviously have a charge, and hence every electron sits in the potential of every other: essentially there is a collosal amount of energy in all of space from these sea electrons.
Shouldn't this energy contribute to gravity? I understand that the cosmological constant should be energy present at all points in space, which causes space to expand. Wouldn't this energy do the same?