configDim
plain-language theorem explainer
Configuration dimension is fixed at three spatial axes. Game theorists cite it to obtain seven coalition types via the 2^D - 1 count law and cosmologists cite it to scale the first CMB peak as baryonRung times configDim. The declaration is a direct abbreviation that embeds the spatial dimension required by the eight-tick octave at T8.
Claim. Define the configuration dimension by $D := 3$.
background
The GameTheory module treats configDim as the number of independent spatial axes in a recognition event. It applies the 2^D - 1 count law to obtain total coalition types and derives minimum winning coalition size as ceil(2^(D-1)). The local setting is Riker's size principle: at D = 3 the total is 7 and the MWC size is 4, matching the median for three-party systems.
proof idea
The declaration is a direct definition that assigns the constant 3. No lemmas or tactics are invoked; the value is chosen to match the spatial dimension fixed by T8 of the unified forcing chain.
why it matters
This definition supplies the spatial D = 3 that appears in CMBCert, etaB_pos, firstPeak, and the D1-D5 counterfactual rung theorems. It closes the link between the forcing chain (T8) and the coalition formation law. The module falsifier asks whether empirical MWC sizes in three-party systems depart from ceil(2^(D-1)) by more than one party unit.
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