← All parts of this equation

Equation 11 · Part 1 · The Bit Comes Back Before the Bearing

Symbol V

V Uin(g)  =  [Urad(g)⊗Urem(g)] V.V\,U_{\mathrm{in}}(g) \;=\; \big[U_{\mathrm{rad}}(g)\otimes U_{\mathrm{rem}}(g)\big]\,V.
VV

What this part means

V is part of the quantity the equation computes from the expression on the right.

Its job in the formula

V is part of the quantity the equation computes from the expression on the right.

The passage around this formula

The hole’s evaporation is modeled, as it is throughout this line of work, as an isometry V from the interior-plus-infalling-system Hilbert space to a radiation-plus-remaining-interior Hilbert space. What makes the conservation law bite is that V must commute with the group action on both sides: V Uin(g)  =  [Urad(g)⊗Urem(g)] VV\,U_{\mathrm{in}}(g) \;=\; \big[U_{\mathrm{rad}}(g)\otimes U_{\mathrm{rem}}(g)\big]\,V. Every symbol here is a unitary representation of the same rotation on a…

Read this part in the article →

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.

Open the illustrated variables: a letter stands for a value 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.