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Equation 6 · Part 2 · The Oldest Quantum-Gravity Experiment Is a Neutron Falling

=

z0=5.87z_0 = 5.87
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

where εn\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 mgm_{g} , which sets how hard the potential pulls, and an inertial piece mim_{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 z0z_0 = 5.87 micrometres and reported the same Airy-zero ladder to several figures [ 2 ] . Feed that length scale and the lowest…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

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