The fermionic double smeared null energy condition

Understand

Energy conditions are crucial for understanding why exotic phenomena such as traversable wormholes and closed timelike curves remain elusive.

• In this paper, we prove the Double Smeared Null Energy Condition (DSNEC) for the fermionic free theory in 4-dimensional flat Minkowski space-time, extending previous work on the same energy condition for the bosonic case [1][2] by adapting Fewster and Mistry's method [3] to the energy-momentum tensor $T_{++}$.
• A notable difference from previous works lies in the presence of the $\gamma_0 \gamma_+$ matrix in $T_{++}$, causing a loss of symmetry.
• This challenge is addressed by making use of its square-root matrix.