Equation 82 · Part 1 · A Horizon Is a Toll Booth, Not a Loophole
Symbol M_odot
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dot is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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dot is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol M_odot→Article meaning
The passage around this formula
which at the horizon itself scales as /(4) — falling as the inverse square of the mass. For a processor of laboratory size =1\, at the horizon of a black hole with the mass measured for the progenitors of the first LIGO gravitational-wave detection, around 30\, , this tidal stress is already about 1.110^5\, , on the order of ten thousand Earth gravities across a single centimeter — enough to disassemble ordinary hardware well before the horizon is reached [ 16 ] . For the Sagittarius A* mass used above, the same formula gives roughly 610^{-6}\, across the same centimeter: negligible, and consistent with the…
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Sources cited in the surrounding passage
- [16] Observation of Gravitational Waves from a Binary Black Hole Merger ↗
- [14] First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way ↗
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