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Equation 75 · Part 1 · The Bend an Elevator Cannot Fake

Symbol phi

ϕ(Z)=ln⁡U(Z)=ln⁡(1+gZ/c2)\phi(Z) = \ln U(Z) = \ln(1 + gZ/c^2)
ϕ\phi

What this part means

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

Its job in the formula

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

The passage around this formula

…so two such clocks compare frequencies as ν2\nu_2/ν1\nu_1 = U(Z1Z_1)/U(Z2Z_2) to all orders — the same exact redshift formula an accelerating rocket produces for light climbing or falling inside it. The node potential is ϕ(Z)\phi(Z) = ln⁡\ln U(Z) = ln⁡(1+gZ/c2)\ln(1 + gZ/c^2) , and its first derivative at Z=0 is ϕ\phi' = g/c2c^2 : a nonzero, entirely real, measurable slope. A network of clocks bolted to this elevator’s walls would report exactly the nonzero edge data a network in a genuine gravitational field reports at the same order.…

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A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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