Equation 19 · The Bend an Elevator Cannot Fake
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This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol e
e is part of the quantity the equation computes from the expression on the right.
Symbol i
i is an input to the expression that computes the quantity on the left.
Symbol j
j is an input to the expression that computes the quantity on the left.
=
The expressions on both sides represent the same quantity under the stated assumptions.
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What the article says around this equation
At weak field this reduces to the familiar ( - )/ for Newtonian potential , 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 = B + n for measurement noise n with covariance C , and the standard weighted least-squares estimate of the node potentials is
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