Equation 123 · Part 1 · The Bit Comes Back Before the Bearing

Symbol t_G

t_G \approx 12.4\,\mathrm{ms}

t_G

What this part means

arbitrary on its own — each is anchored to a cited, checkable piece of theory, and the crossover tolerance $\delta^\ast$ is computed, not chosen after the fact to produce a headline.

Its job in the formula

$t_G$ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol t_GArticle meaning

Where the article explains it

Neither $t_L$ nor $t_G$ is arbitrary on its own — each is anchored to a cited, checkable piece of theory, and the crossover tolerance $\delta^\ast$ is computed, not chosen after the fact to produce a headline.

The passage around this formula

…28.2 , for the solar-mass hole above. Taking $f_1$ = 1 as an illustrative, explicitly assumed per-quantum information content, a modest tolerance $\delta$ = 0.1\, $\mathrm{rad}$ (about six degrees) gives $t_G$ / $\beta$ = 100 , so $t_G$ $\approx$ 12.4\, $\mathrm{ms}$ and $\Delta$ $t_{LG}$ $\approx$ +8.9\, $\mathrm{ms}$ : the compass is the slower debt, as the title claims. But a coarser tolerance, $\delta$ = 0.5\, $\mathrm{rad}$ (about twenty-nine degrees), gives $t_G$ / $\beta$ = 4 , so $t_G$ $\approx$ 0.50\, $\mathrm{ms}$ and $\Delta$ $t_{LG}$ $\approx$ …

Read this part in the article →

Learn the underlying idea

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

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the article section

[11] Superselection Rules and Quantum Protocols ↗

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