paragraph "This version (vX. Y. Z). one-line note. ". Only the The Viridis Canon — Lean-Checked Conditional Mathematics for the Intelligence Bound. A machine-checked formal corpus underpinning the Viridis research program on the thermodynamics of intelligence and its application to planetary conservation. Its spine is the Intelligence Bound — a Landauer/erasure-grounded limit on the rate of intelligence creation — formalized in Lean 4 and extended through a stack of modules spanning information theory (the D-Score biodiversity metric), graph-theoretic landscape optimality (HDFM / dendritic corridors), thermodynamic economics, alignment-as-feasibility (Goodhart impossibility), the speed-limit shadow-price tower, and the recovered post-Wolpert erasure-side footing. Every theorem's type is machine-verified in Lean 4 (pinned toolchain; axioms audited to propext, Classical. choice, Quot. sound). The canon deliberately distinguishes proof validity from physical and empirical validity: it is conditional mathematics with explicit assumptions, not a claim that those assumptions describe nature. Headline results are graded by formal strength in CLAIMSMATRIX. md via the labels in THEOREMSTATUSTAXONOMY. md (Derived / Conditional / Definition-expansion / Bridge-assumption / Empirical-hypothesis / Conjecture / Exploratory), with separate formal and interpretive status. Empirical validation is reserved for the companion papers and field studies. Concept DOI 10. 5281/zenodo. 19317982 always resolves to the latest version. Source mirror: github. com/jdhart81/viridis-canon. Co-authored with Aristotle (Harmonic). This version (v10. 2. 0). "The Equilibrium Wave" — folds six Intelligence-Bound core-extensions into the verified spine: the Effortless Equilibrium Theorem (EET, "the Steersman"; wu-wei rest states exist and are exactly the zero-holding-power configurations; 11 named results), the Perennial Corridor Theorem (PCT, "the Gardener"; Whittle-index corridor urgency ranking and the IB floor on maintenance holding power; 15 named results), the Decoherent Selection Theorem (DST, "the Chooser"; decision cost is bounded by ln N and vanishes only at the einselected pointer basis; 12 named results), the Mutualistic Attestation Theorem (MAT, "the Attester"; attestation cost = kBT·ln2· (residual entropy), with certification feedback exhibiting fold bistability; 19 named results), the Thermodynamic Attention Theorem (TAT, "the Attuner"; the rational-inattention shadow price equals the Landauer quantum kBT, with attention water-filling the einselected slow basis; 12 named results), and the Stewardship Setpoint Theorem (SST, "the Steward"; golden-rule sustainable ceiling for a living renewable stock, the first-ever Intelligence Bound x Stewardship pairing and act-budget twin of TAT; 13 named results). All six are zero sorry with axioms ⊆ propext, Classical. choice, Quot. sound, added to SPINEMANIFEST. txt, lakefile defaultTargets, and AxiomAudit. lean. Spine version bump authorized by J. D. Hart 2026-07-19 ("push the updated spine version"), applied to the full ready nightly-forge backlog (ledger rows 55–58, 60–61). MINOR bump only (v10. 1→v10. 2) ; no MAJOR trigger in play. UPEM, the η=cos² (Θ) meta-theorem unifying four of these six, is verified clean but held back pending a journal-quality paper (INV-PAPER). See CHANGELOGᵥ10. 2. 0. md.
Hart et al. (Sun,) studied this question.
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