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Equation 15 · Part 3 · The Bend an Elevator Cannot Fake

Symbol Phi_j

yij≈(Φi−Φj)/c2y_{ij} \approx (\Phi_i - \Phi_j)/c^2
Φj\Phi_j

What this part means

Phiji_j is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

Phiji_j is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

At weak field this reduces to the familiar yijy_{ij} ≈\approx (Φi\Phi_i - Φj\Phi_j)/c2c^2 for Newtonian potential Φ\Phi , exactly the quantity real fibre-linked clock comparisons already report [ 1 , 7 ] . Collect every measured edge into a vector y , one entry per link, and encode the network’s topology in an incidence matrix B : row e = (i,j) has a +1 in column i , a -1 in column j , and zero elsewhere. The model is y = Bϕ\phi + n for measurement noise n with covariance C , and the standard weighted least-squares estimate of the node potentials is

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