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Equation 17 · Part 2 · A Neutron Star Is a Redshift Standard

=

η=(−1.5±2.3±1.5)×10−15\eta=(-1.5\pm2.3\pm1.5)\times10^{-15}
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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

That test would not be a marginal addition to existing equivalence-principle work. The emitting atoms on a neutron-star surface sit in a gravitational potential Φs\Phi_s/c2c^2 of order 0.2 to 0.4 — a QCD-dominated binding environment seven to eight orders of magnitude deeper than anything a terrestrial free-fall experiment reaches. MICROSCOPE’s satellite test of the weak equivalence principle, the most precise ever flown, bounds a titanium-platinum pair’s differential free fall at η\eta=(-1.5±\pm2.3±\pm1.5)×\times10^{-15} [ 13 ] , but at a potential difference near 10^{-10} — many orders shallower than a neutron star’s surface. In the dilaton-coupling framework Thibault Damour and John Donoghue laid…

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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

These citations provide research context; check each source for the exact claim it supports.