← All parts of this equation

Equation 80 · Part 1 · A Horizon Is a Toll Booth, Not a Loophole

Symbol c^6

ℓc6/(4G2M2)\ell c^6/(4G^2M^2)
c6c^6

What this part means

c6c^6 is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

c6c^6 is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

which at the horizon itself scales as ℓ\ell c6c^6/(4G2G^2M2M^2) — falling as the inverse square of the mass. For a processor of laboratory size ℓ\ell=1\,cm\mathrm{cm} at the horizon of a black hole with the mass measured for the progenitors of the first LIGO gravitational-wave detection, around 30\,M⊙M_\odot , this tidal stress is already about 1.1×\times10^5\,m s−2\mathrm{m\,s^{-2}} , 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 6×\times10^{-6}\,m s−2\mathrm{m\,s^{-2}} across the same centimeter: negligible, and consistent with the…

Read this part in the article →

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.

Open the illustrated exponents: repeated multiplication and powers guide →

See this notation across published equations →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.