$$z_0 = 5.87$$

Equation 6 · Crossed Fields

The Oldest Quantum-Gravity Experiment Is a Neutron Falling

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

where $\varepsilon_n$ is the n -th negative zero of the Airy function — 2.338, 4.088, 5.521, 6.787, and so on — and the mass has been split deliberately into a gravitational piece $m_{g}$ , which sets how hard the potential pulls, and an inertial piece $m_{i}$ , which sets how the wavefunction spreads in response. Nesvizhevsky and collaborators’ 2005 refinement of the original measurement, using a position-sensitive track detector to scan the standing-wave density directly above the mirror rather than only the transmitted flux, pinned down the characteristic length scale $z_0$ = 5.87 micrometres and reported the same Airy-zero ladder to several figures [ 2 ] . Feed that length scale and the lowest…

Equation guide → · Article →