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Equation 17 · Part 1 · A Neutron Star Is a Redshift Standard

Symbol eta

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

What this part means

eta is part of the quantity the equation computes from the expression on the right.

Its job in the formula

eta is part of the quantity the equation computes from the expression on the right.

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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Sources cited in the surrounding passage

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