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Equation 1 · Part 4 · How Good Can a Clock Ever Be?

Symbol t_P

Amin⁡(τ)≳χ(tPτ)2\mathcal{A}_{\min}(\tau) \gtrsim \chi\left(\frac{t_P}{\tau}\right)^{2}
tPt_P

What this part means

tPt_P occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

tPt_P occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

…Push the clock to that boundary — as large as coherence allows, no larger — and the two prices combine into a floor whose shape is set entirely by the constants already on the table: Amin⁡(τ)≳χ(tPτ)2\mathcal{A}_{\min}(\tau) \gtrsim \chi\left(\frac{t_P}{\tau}\right)^{2}. one Planck time, tPt_P, set against however long a lab is willing to average, squared, times a geometry factor χ the paper’s appendix fixes and does not pretend is order-unity by assumption. The exponent is the point, not the coefficient: it is what makes this a floor derived from an accounting of two established…

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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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