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Equation 10 · Part 5 · AI Feeds on the Distance Between an Intention and an Outcome

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Gtr=KtHtr[G]=bit ⁣- ⁣transitions.G_{tr}=K_t H_{tr}\qquad [G]=\mathrm{bit\!\text{-}\!transitions}.
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What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

I call the product intention-gap volume : Gtr=KtHtr[G]=bit ⁣- ⁣transitionsG_{tr}=K_t H_{tr}\qquad [G]=\mathrm{bit\!\text{-}\!transitions}. The word “volume” is deliberately qualified. These are constructed units, not cubic meters and not an intrinsic property of a repository. They make two axes do work at once: how many plausible completion stories the request supports, and how many consequential points at which the agent must turn a story into an irreversible or checkable change. Multiplying is appropriate only if the transition count is fixed across redactions and the entropy is measured from the request, not from the model’s successful patch. That is why the endpoint stays fixed and annotation happens before attempts begin.

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

The article lists its research sources here.