What question did this study set out to answer?

This research aims to establish a new intelligence bound relating to the thermodynamics of information in the biosphere.

June 21, 2026Open Access

Viridis Compiled Theorem Stack — Canon v9 (Erasure-Side Intelligence Bound + Featured Paper)

Puntos clave

This research aims to establish a new intelligence bound relating to the thermodynamics of information in the biosphere.
Utilized the Lean 4 framework for formal verification of results.
Integrated previous theorem corpus v8 with the new erasure-side intelligence bound.
Presented findings related to biosphere productivity and information management.
Verified nine results in Lean 4 regarding biosphere erasure and bounded memory learning.
Established a thermodynamic floor for biosphere information, linking erasure risks to intelligence requirements.
Unified the erasure floor with Turyshev's productivity bound, enhancing understanding of ecological stewardship.

Resumen

The machine-verified theorem corpus of the Viridis research program — v9, now led by its featured paper. This version carries forward the entire v8 corpus unchanged and adds The Erasure-Side Intelligence Bound (4 pp. , PDF) as the human-readable front door to the recovered footing. The Intelligence Bound's thermodynamic branch is read on the erasure / maintenance side of the ledger: acquiring a bit carries no Landauer floor, but erasing one does. The biosphere is the largest known low-entropy dataset, so its erasure (extinction, collapse) carries an irreducible thermodynamic floor proportional to its information content, and stewarding it against erasure imposes a lower bound on the required intelligence. The paper states all nine results verified in Lean 4 (BiosphereErasureBound and BoundedMemoryLearning) and unifies the erasure floor with Turyshev's biosphere-productivity bound and with alignment-as-feasibility. Start with the paper PDF, then CANONMANIFEST. md and IBFOOTINGCORRECTION₂026-06-16. md. Concept DOI (always-latest): 10. 5281/zenodo. 19317982. v1–v8 stand; this is an evolution, not a retraction.

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