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Equation 83 · A Reference Frame Becomes Classical by Publishing Its Orientation

What does this equation mean?

κ=Ωτ\kappa=\Omega\tau

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Inputs and operationsOmegaτ
Result or conditionkappa
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This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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κ\kappa

Symbol kappa

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

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Ω\Omega

Symbol Omega

Omega is an input to the expression that computes the quantity on the left.

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τ\tau

Symbol τ

dimensionless.

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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How to interpret it

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What the article says around this equation

where Ω\Omega has units of inverse seconds, interaction time τ\tau has seconds, and κ\kappa=Ω\Omegaτ\tau is dimensionless. The factor 2j is a declared normalization choice, not an inherited law. Alternative normalizations must be compared because they change the large- j limit if coupling strength is held fixed under different conventions.

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