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Equation 74 · Part 2 · The Bend an Elevator Cannot Fake

Symbol nu_1

ν2/ν1=U(Z1)/U(Z2)\nu_2/\nu_1 = U(Z_1)/U(Z_2)
ν1\nu_1

What this part means

nu1u_1 is part of the quantity the equation computes from the expression on the right.

Its job in the formula

nu1u_1 is part of the quantity the equation computes from the expression on the right.

The passage around this formula

This is an exact solution describing flat Minkowski spacetime in non-inertial coordinates, not a weak-field approximation. A clock held static at height Z has dτ\tau = U(Z)\,dt exactly, 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. If…

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