Equation 71 · Part 2 · A Horizon Is a Toll Booth, Not a Loophole
Symbol c^3
What this part means
is one of the signed contributions combined to compute the quantity on the left.
Its job in the formula
is one of the signed contributions combined to compute the quantity on the left.
Full expression→Symbol c^3→Article meaning
The passage around this formula
Staying cold is the second cost, and here the numbers run the other way. The Hawking temperature of Sagittarius A* at infinity is = /(8 GM)1.510^{-14}\, [ 10 ] . A static observer at radius r sees this blueshifted by the same Tolman factor that governs any locally measured temperature in a static spacetime, =/ [ 11 ] . Setting equal to a demanding but realistic dilution-refrigerator base temperature of 10\, and solving for the required clearance gives r2.810^{-14}\, — a few nuclear radii from the horizon. For a supermassive hole, in other words, the ambient Hawking bath…
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 surrounding passage
- [10] Particle Creation by Black Holes ↗
- [11] On the Weight of Heat and Thermal Equilibrium in General Relativity ↗
These citations provide research context; check each source for the exact claim it supports.