Equation 1 · Part 3 · How Much of Gravitationally Induced Entanglement Is in the Eye of the Frame

Newtonian gravitational constant

\varphi_{ij} = G m_A m_B t / (\hbar d_{ij})

G

What this part means

The constant that sets the strength of Newtonian gravity. Multiplying G by both masses and dividing by their separation gives the magnitude of their interaction energy.

Its job in the formula

This constant scales every branch-pair phase equally. It sets gravitational strength; it does not distinguish the four paths.

Full expressionNewtonian gravitational constantArticle meaning

The passage around this formula

…are relational quantities — distances between mass A’s branches and mass B’s branches — and relational quantities do not change when you change which system you have designated the reference frame. Write $\varphi_{ij}$ = G $m_A$ $m_B$ t / ( $\hbar$ $d_{ij}$ ) for the phase a pair of branches i,j $\in$ \{L,R\} accumulates over interaction time t at separation $d_{ij}$ , with G Newton’s constant and $\hbar$ the reduced Planck constant. Three of the four possible combinations of these branch-pair phases can always be removed by a…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

[6] On the possibility of laboratory evidence for quantum superposition of geometries ↗

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