austerityPhaseYears
plain-language theorem explainer
Austerity phase duration is defined as φ² years within the Recognition Science counter-cyclical policy model. Researchers deriving business-cycle policy balance from the phi-ladder and gap-45 would cite this definition when stating optimal debt-reduction intervals. The declaration is a direct noncomputable assignment of the constant phi squared.
Claim. The austerity phase length is defined as $φ^2$ years.
background
The module sets counter-cyclical policy against the phi-ladder: stimulus phase equals φ years in recession while austerity equals φ² years in expansion, with policy balance requiring stimulus/austerity = 1/φ and swings bounded by gap-45 percent of GDP. Five canonical phases (trough through contraction) match configDim D = 5. Upstream phase definitions supply the 8-tick angular periods kπ/4 and the unimodular complex exponential e^{i w}, which anchor the underlying oscillatory structure imported via Constants.
proof idea
One-line definition that directly assigns phi squared; no lemmas or tactics are applied beyond the constant unfolding already present in the module.
why it matters
This definition supplies the austerity term required by austerity_eq_stimulus_times_phi, the policy_balance theorem, and the CounterCyclicalPolicyCert structure. It realizes the RS prediction stated in the module doc for gap-45 Kondratieff waves and links to the self-similar fixed point phi together with the eight-tick octave. No open scaffolding remains inside the module.
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