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Equation 11 · Part 2 · The Bend an Elevator Cannot Fake

Symbol x

ϕ(x):=ln⁡U(x)\phi(\mathbf x) := \ln U(\mathbf x)
xx

What this part means

x is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Its job in the formula

x is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

The passage around this formula

For a static observer at position x\mathbf x in a stationary spacetime, define U(x\mathbf x) := dτ\tau/dt , the local rate of proper time relative to coordinate time. Two clocks compared through any phase-coherent link that depends only on their respective proper frequencies report the ratio νj\nu_j/νi\nu_i = U(xj\mathbf x_j)/U(xi\mathbf x_i) — a…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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