5 problems

Flux quantum inequality optimal-bound conjecture. The flux quantum inequality is generally within an order of magnitude of the optimal bound, namely the infimum of the spectrum of…

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…

Let $S_{scalar}(t_0/a)$ denote the scale function in the scalar-field difference inequality for the Einstein closed universe with Lorentzian sampling. This function has a bump, pea…

Let $\mathscr{P}_{\bullet}$ be an irreducible planar algebra with index $\delta^2$, where $\delta>0$. For positive operators $x,y\in\mathscr{P}_{2,\pm}$ and parameters…

Fewster–Kontou conjecture. Paths with small acceleration in spacetimes with small curvature should obey the same null-projected timelike-averaged quantum inequality as in flat spac…