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Structural Selection

Theory overview

Structural Selection

Books I (Pre-Physical Selection & Emergent Reality) and V (Gravity as a Temporally Closed Dynamical Phase) build on a world-selection functional Ξ, defined over a space of candidate worlds 𝒲, each represented as a triple (𝒟, ℛ, 𝒢) of primitive distinctions, generative rules, and a realization map:

Ξ(W)=αC(W)+βS(W)+γG(W)δD(W)\Xi(W) = \alpha\,\mathcal{C}(W) + \beta\,\mathcal{S}(W) + \gamma\,\mathcal{G}(W) - \delta\,\mathcal{D}(W)

weighing internal consistency, structural stability under perturbation, generative richness, and a penalty on unnecessary descriptive complexity. The realized world is proposed to be the maximizer, W* = argmax Ξ(W).

Two things are worth being direct about. First, none of C, S, G, D is given an explicit formula in the source — they are named and motivated, not computed. Second, even granting a well-defined maximizer exists, identifying “the mathematical maximizer of Ξ” with “the world that physically exists” is an additional, unargued step — not a mathematical consequence of the optimization. Both points are tracked as open items; see Open Review.