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Equation 5 · Part 2 · The Frontier Model Landscape in 2035: Four Scenarios, Their Signals, and What Would Falsify Them

superscript

gtg^{t}
superscript

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

with g between roughly two-point-four and three-point-five depending on method and window [ 5 , 6 ] . The form matters more than the exact rate: exponential cost growth does not by itself predict consolidation. It predicts a shrinking count of organisations able to clear an ever-rising bar only if the pool of adequately capitalised entrants grows more slowly than gtg^{t} . Whether that pool keeps pace is a question about capital markets and state investment, not something the cost curve alone answers — which is exactly why axis A stays open below rather than settled by this one fact.

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the article section

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