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Equation 4 · Part 2 · AI Alignment and Safety in 2035: Two Axes, Four Scenarios, and What Would Falsify Them

Symbol t

dV/dt\mathrm{d}V/\mathrm{d}t
tt

What this part means

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

Its job in the formula

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

The passage around this formula

The gap narrows exactly when verification coverage grows faster than capability does. Axis A determines whether d\mathrm{d}V/d\mathrm{d}t can be large at all — whether there is a technique to scale in the first place. Axis B determines how much of any technical gain is actually applied across the field rather than sitting inside one lab’s internal practice, acting as a multiplier on the effective, field-wide growth rate of V . A technique that works in one laboratory’s hands but is never externally audited or adopted elsewhere raises V for that laboratory alone; the field-wide V(t) this equation needs barely moves. That is why the gap is downstream of both axes rather than a genuinely…

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