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Equation 14 · Part 1 · The Bend an Elevator Cannot Fake

Symbol y_ij

yij:=ln⁡(νj/νi)=ϕ(xi)−ϕ(xj).y_{ij} := \ln(\nu_j/\nu_i) = \phi(\mathbf x_i) - \phi(\mathbf x_j).
yijy_{ij}

What this part means

yiy_ij is part of the quantity the equation computes from the expression on the right.

Its job in the formula

yiy_ij is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…used. Define the dimensionless node potential ϕ(x)\phi(\mathbf x) := ln⁡\ln U(x\mathbf x) and the edge observable actually recorded between linked clocks i and j , yij:=ln⁡(νj/νi)=ϕ(xi)−ϕ(xj)y_{ij} := \ln(\nu_j/\nu_i) = \phi(\mathbf x_i) - \phi(\mathbf x_j). 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…

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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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