7 problems

Let $T$ denote the stress-energy tensor and let its energy density be smeared with a test function over a region of spacetime. Quantum energy inequality conjecture. Smeared energy…

Quantum interest conjecture. The positive contributions to $\rho_\psi(t)$ must overcompensate for its negative parts: quantum loans must be repaid at a positive rate of interest, a…

Graham–Olum conjecture. The AANEC holds for any self-consistent solution in semiclassical gravity.

Massless-field kinetic-tensor conjecture. The renormalized IN-region kinetic tensor should have $tt$-component

Satisfied NEC conjecture. If $\alpha_2>0$, then there exists a constant $b>2\tilde{M}$ such that the NEC holds for every

Linear-decay conjecture. As $G_{\text{exotic}}\to 0$, $T_{\text{exotic}}\to 0$ at least linearly.

Let $\mathbf{T}^{\alpha,n}$ denote an elliptic vector of standard $\alpha$-fractional singular integrals in $\mathbb{R}^{n}$, and let $\sigma$ and $\omega$ be measures on…