Equation 1 · Part 4 · How Much of Gravitationally Induced Entanglement Is in the Eye of the Frame

Mass of A

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

m_A

What this part means

The mass of the first object, measured in kilograms. The phase grows in proportion to this mass while the other quantities are fixed.

Its job in the formula

This mass multiplies every branch-pair phase. Holding geometry fixed, doubling it doubles the phase differences as well.

Full expressionMass of AArticle 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 subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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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.