DCRP93 / X72R76: Homogeneity-Sign Principle and the Critical Replacement Conveyor

Following DCRP92's proof of positive-density recurrence for a fixed detector, this round tests the intuitive conjecture that positive density plus a fixed positive cost should force an unbounded physical budget, and proves it false for every detector with positive physical homogeneity exponent p>0: the cost ℓ_n^p J_n is geometrically summable over any subset of generations, so positive density supplies no extra coercive force (the Positive-Density Budget NO-GO). It also computes the homogeneity exponents of energy/PFET (p=κ>0), the coarse-grained work chain (p=1>0), and circulation (p_Γ=1-α<0), showing that Kelvin circulation succeeds precisely because its homogeneity is negative. The round compresses the remaining compact equality survivor into a single positive-homogeneity critical replacement conveyor C_work^{+h}, and states plainly that the next round must switch to a nonpositive-homogeneity, conserved/finite-capacity regeneration witness rather than adding yet another energy or work tax.