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Equation 104 · Part 1 · The Bit Comes Back Before the Bearing

Symbol F_Q^(0)

FQ(0)=4Var⁡J^/ℏ2F_Q^{(0)} = 4\operatorname{Var}\hat J/\hbar^2
FQ(0)F_Q^{(0)}

What this part means

F_Q^(0) is part of the quantity the equation computes from the expression on the right.

Its job in the formula

F_Q^(0) is part of the quantity the equation computes from the expression on the right.

The passage around this formula

This model has an explicit conservation ceiling built in: it cannot be extended past the compass’s own total intrinsic Fisher information FQ(0)F_Q^{(0)} = 4Var⁡\operatorname{Var}J^\hat J/ℏ2\hbar^2 , since no amount of radiation can reveal more about g than the original state ever carried. A tolerance δ\delta tighter than 1/FQ(0)\sqrt{F_Q^{(0)}} is not a slower recovery — it is a request for better precision than the compass itself possessed, which no…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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