geoengineeringApproach_count
plain-language theorem explainer
The finite enumeration of geoengineering approaches yields a cardinality of five. Climate physicists applying J-cost risk analysis cite this count to bound the number of safe interventions. The proof reduces to a decision tactic that exhausts the constructors of the inductive definition.
Claim. The finite set consisting of stratospheric aerosol injection, marine cloud brightening, ocean iron fertilisation, carbon dioxide removal, and cirrus cloud thinning has cardinality five.
background
The module enumerates five canonical geoengineering approaches aligned with configDim equal to five. These comprise stratospheric aerosol injection, marine cloud brightening, ocean iron fertilisation, carbon dioxide removal, and cirrus cloud thinning, each equipped with a risk profile on the J-cost ladder. The safe-deployment threshold is the canonical J(φ) band on the perturbation ratio.
proof idea
The proof is a one-line decision procedure that computes the cardinality by exhaustive enumeration of the five constructors of the finite inductive type.
why it matters
This supplies the five_approaches field inside geoengineeringCert, which certifies the safe band is well-defined and contains the phi point. It anchors the climate extension to the configDim = 5 step, consistent with the eight-tick octave and phi-ladder structures. No open questions are directly addressed.
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