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δ≈0.5 rad\delta \approx 0.5\,\mathrm{rad}

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It is worth being explicit about which part of that conditional is load-bearing. Neither tLt_L nor tGt_G is arbitrary on its own — each is anchored to a cited, checkable piece of theory, and the crossover tolerance δ∗\delta^\ast is computed, not chosen after the fact to produce a headline. What is a choice, and should be named as one, is treating ϵ\epsilon and δ\delta as commensurate just because both are dimensionless numbers between zero and one. A fidelity and a normalized angular tolerance measure different things, and no law of physics says a “demanding” qubit fidelity and a “demanding” compass tolerance sit at the same point on their respective scales. The reversal at δ\delta ≈\approx…

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δ\delta

Symbol delta

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Published contexts (1)

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δ≈0.5 rad\delta \approx 0.5\,\mathrm{rad}

Equation 144 · Evolutionary Physics

The Bit Comes Back Before the Bearing

This equation gives an approximation: it relates the quantities while allowing an approximation.

It is worth being explicit about which part of that conditional is load-bearing. Neither tLt_L nor tGt_G is arbitrary on its own — each is anchored to a cited, checkable piece of theory, and the crossover tolerance δ∗\delta^\ast is computed, not chosen after the fact to produce a headline. What is a choice, and should be named as one, is treating ϵ\epsilon and δ\delta as commensurate just because both are dimensionless numbers between zero and one. A fidelity and a normalized angular tolerance measure different things, and no law of physics says a “demanding” qubit fidelity and a “demanding” compass tolerance sit at the same point on their respective scales. The reversal at δ\delta ≈\approx…

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