inevitability_upgrade
plain-language theorem explainer
The inevitability_upgrade definition constructs the UpgradePath record that records the partial status of the inevitability argument in Recognition Science together with four explicit steps required to reach completeness. Researchers working on the foundations would cite this record when mapping the remaining work from cost uniqueness through dimension forcing to full exclusivity. The definition proceeds by direct record construction that enumerates the steps without discharging any proof obligations.
Claim. The upgrade path record is defined by current_state := ``Partial: Cost uniqueness proven, other gates scaffolded'', steps := [``1. Prove CPM Universality: selection = coercive minimization (no alternatives)'', ``2. Prove Dimension Forcing: linking + gap-45 → D = 3'', ``3. Complete Exclusivity: any zero-param framework ≅ RS'', ``4. Remove EQUIV_AX scaffolds: connect abstract claims to concrete defs''], target_state := ``Complete: Any alternative must violate a necessity or add parameters''.
background
The module formalizes the inevitability structure of Recognition Science by relocating the inevitability bottleneck from a tautology about Empty to the physical claim that selection occurs by minimizing a unique cost. Under the CPM/cost foundation, alternatives fall into three buckets: options about the cost function J itself, options about what existence means, and options about the admissible class of zero-parameter frameworks. UpgradePath is the structure whose fields are current_state : String, steps : List String, and target_state : String; it records progress toward the Inevitability Theorem that any alternative must violate one of the six CPM/cost necessities.
proof idea
The declaration is a direct record construction that populates the three fields of UpgradePath with a fixed partial-state string, a four-element list of step descriptions, and a fixed target-state string. No lemmas are applied; the definition simply assembles the enumerated steps that reference upstream results such as DimensionForcing.Dimension and the cost-uniqueness gate already established in sibling declarations.
why it matters
This definition supplies the explicit roadmap for the Inevitability Theorem stated in the module documentation, which asserts that any alternative theory must violate Cost Uniqueness (T5: J(x) = ½(x + x⁻¹) - 1), the Selection Rule, Discreteness, Ledger Structure, Self-Similarity (phi forced), or Dimension (D = 3). It therefore sits at the interface between the forcing chain T5–T8 and the Recognition Composition Law, marking the remaining work needed to close the exclusivity claim that every zero-parameter framework reduces to RS.
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