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RG-SCP: The Counterexample Universe, Obstruction Covers and Self-Audits RG-SCP 06 · Demand–capacity inequalities Author line in the source: Neo.K; Aletheia (GPT-5.6 Sol)

Counterexample Demand–Obstruction Capacity Inequalities

Proves the necessary inequality F_G(N) = 1 ⇒ D_N(y) ≤ I_N(y) (survivor demand ≤ deep-factor incidence), the identity R_G⁻ = D + Ω − I, the primorial demand formula D_N(p_k) = π(N/2) − k, and the template 'a rigorous L > U ⇒ R_G > 0'; it states that no crossing is proved and 'this paper does not break the parity barrier'.

Demand–capacity is a proof template; the crossing L > U is not proved and the parity barrier is explicitly not broken. I_N(y), presented as 'capacity', is only multiplicity-weighted incidence mass; the canonical capacity is C^can (V0-06).

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NextRG-SCP 07 · Shift transport for a minimal counterexample · Minimal Counterexamples, Shift Transport, and Demand–Capacity Closure

This is a full-text translation of the Chinese source, which remains authoritative for its research claims. Translation is not independent mathematical verification and does not upgrade the original evidence level.

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