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Equation 104 · Part 1 · The Bend an Elevator Cannot Fake

Symbol U^2

U2≈1U^2 \approx 1
U2U^2

What this part means

The square of U: multiply U by itself.

Its job in the formula

U2U^2 is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.

The passage around this formula

…transforms as an ordinary rank-two tensor; under a change of which node is used as the additive reference for ϕ\phi it is unchanged, because it depends only on derivatives of ϕ\phi , never its value; and up to the factor U2U^2 ≈\approx 1 negligible at the one-part-in- 10^9 level for any terrestrial network, it is c2c^2 times the frame component RiR^i{}_{0j0} of the Riemann tensor in the static observers’ own rest frame — a genuine curvature quantity, reported honestly as one stated-frame component rather than a…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the article section

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