DRC-01: Exponential Preload, Prehistory Renewal, Viscous-Age Slabs, and High-Parent Source Genealogy

Exponential Preload, Prehistory Renewal, Viscous-Age Slabs, and High-Parent Source Genealogy

Cycle II ends with four residual mechanisms: R_EXP, R_DISS, R_DIL, R_SRC. This round attacks R_EXP: refining Cycle II's exponential-preload branch into the high-frequency strain tail actually required by a later-time strain spike. Proves that if high-frequency legacy stock is to survive many viscous ages past the escape moment, it must carry an exponentially large high-tail preload; then proves this preload cannot be an unforced residue of fixed smooth initial data — it must itself be generated by prehistoric Duhamel forcing. The viscous-age slab argument pins down the source renewal packet, unless an even earlier high-tail stock grows backward exponentially. The prehistoric forcing splits into strain–vorticity model residual forcing or quadratic vorticity forcing, the latter requiring a genuine high-frequency vorticity parent state. EXP-PRELOAD is therefore removed as an independent residual mechanism and recompiled into source renewal.