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Equation 19 · Part 1 · Who Builds 2100? The Demographic Engine of Technological Evolution

Symbol g_S

gSg_S
gSg_S

What this part means

doing.

Its job in the formula

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

Where the article explains it

If it does materialize, the difference between the top-right and bottom-right boxes — whether population is also growing or is instead the IHME-scale decline — matters much less than in the human-bound cases, because a large enough gCg_C term dominates the sum in the numerator of the growth relation regardless of what gSg_S is doing.

The passage around this formula

Put the two live disputes together — where the population lands, and whether research productivity keeps declining on its historical path or gets a machine-augmented boost — and the honest picture of 2100 is not one forecast but a small matrix of scenarios, each internally consistent, each resting on assumptions this article has tried to state rather than bury. Reading the table left to right along the top row: under the UN’s higher population trajectory and a continuation of Bloom, Jones, Van Reenen, and Webb’s documented historical pattern of declining human research productivity, the growth rate of ideas keeps decelerating, but more slowly than under any lower-population path, because a…

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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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Sources cited in the surrounding passage

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