← Mathematical compendium

Published equation contexts

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

Why this formula appears here

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…

Read the full article-specific guide →

Read the representative guide

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Learn the mathematics behind it

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

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

Equation 17 · Crossed Fields

A Neutron Star Is a Redshift Standard

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

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…

Equation guide → · Article →