Equation 83 · Part 1 · A Horizon Is a Toll Booth, Not a Loophole
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
Full expression→superscript→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…
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
- [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 ↗
These citations provide research context; check each source for the exact claim it supports.