Key Takeaway: life inevitably emerges on the prime lattice by ERQC, helping to explain “why we are here”. We advance a mathematically explicit theory of abiogenesis (the natural process by which life arises from non-living matter) in which entropic recursive quantum collapse(ERQC) acts on a heterogeneous microcontext network—the prime lattice P—embedded in a temporally correlated medium (chronofluid, with memory timescale τ ). Dynamics alternate memoryful propagation with an entropy–information biased collapse that is recursively conditioned on prior classical records. The iterated map Rτ = Πβ ◦ Uτ admits bio-attractor limit cycles that simultaneously sustain positive exergy flux and preserve heritable information with sub-threshold error rates. Prime-indexed discrete scale invariance (p-DSI) yields logperiodic fingerprints (the “prime comb”) and banded compartment sizes; abyssal symmetries impose selection rules (notably for homochirality). We formalize the entropic action, the bioLyapunov functional, existence conditions for limit cycles, and derive falsifiable predictions. Our framework integrates extant prebiotic evidence (ribozymes, lipid vesicles, mineral templating, hydrothermal vent chemistries) without committing to a single substrate. It is substrate-agnostic but selection-principled: what matters is not which molecule emerged first, but how recursive, memoryful collapse sculpted reaction networks into heritable, exergy-harvesting cycles. We provide specific, testable predictions—e.g., log-periodic banding of compartment sizes, motif frequencies tied to prime indices, and symmetry-constrained chirality biases—that can be sought in laboratory systems and geological archives.