Symbol rho_m
rh is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Why this formula appears here
The claim. By 2100, human-verified transmission channels — credentialed authorship, curated archives, live human instruction, peer-reviewed publication — have not disappeared, but have become a comparatively scarce, higher-cost tier that a shrinking share of cultural transmission actually passes through, while the great bulk of ambient, free cultural content defaults to the lower-fidelity, machine-mediated channel described in the provenance-collapse scenario above. This is presented as the most speculative of the three scenarios, and deliberately anchored more thinly than the other two: it is a structural extrapolation of the fidelity gap this article has already established ( <…
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Symbol rho_h
rh is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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Read this expression with the definitions, units, and assumptions supplied by the article.
Research cited beside this formula
- [16] Are Ideas Getting Harder to Find? ↗
- [4] Innovation in the Collective Brain ↗
- [15] Artificial Artificial Artificial Intelligence: Crowd Workers Widely Use Large Language Models for Text Production Tasks ↗
- [14] Future of AI Models: A Computational Perspective on Model Collapse ↗
- [13] Will We Run Out of Data? Limits of LLM Scaling Based on Human-Generated Data ↗
Published contexts (1)
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Equation 28 · Technological Evolution
The Bandwidth of Culture: Transmission Fidelity to 2100
This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.
The claim. By 2100, human-verified transmission channels — credentialed authorship, curated archives, live human instruction, peer-reviewed publication — have not disappeared, but have become a comparatively scarce, higher-cost tier that a shrinking share of cultural transmission actually passes through, while the great bulk of ambient, free cultural content defaults to the lower-fidelity, machine-mediated channel described in the provenance-collapse scenario above. This is presented as the most speculative of the three scenarios, and deliberately anchored more thinly than the other two: it is a structural extrapolation of the fidelity gap this article has already established ( <…
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