Equation 40 · Part 2 · A Horizon Is a Toll Booth, Not a Loophole
Symbol τ
What this part means
τ is part of the quantity the equation computes from the expression on the right.
Its job in the formula
τ is part of the quantity the equation computes from the expression on the right.
Full expression→Symbol τ→Article meaning
The passage around this formula
For a static observer at fixed areal radius r in a static, spherically symmetric spacetime, proper time and coordinate time are related by d = \,dt , with f(r) = 1-2GM/(r) for Schwarzschild. A locally conserved (Killing) energy — the energy the same quantity would be assigned by a distant static observer — and the energy measured by the local static observer, , are related by the standard blueshift-on-the-way-down relation
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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