Central conjecture: open‑ended meta‑simulation drives the biological arrow of time

Establish whether tangled information hierarchies in biological evolution expand via a continual open‑ended process of self‑referential dynamics and meta‑simulation that resolves undecidability by extending the computational problem‑space, thereby underpinning a directional biological arrow of time.

Background

The authors integrate recursion theory (e.g., oracle machines and Turing jumps) with biological information processing to propose that higher‑order systems meta‑simulate lower‑order systems, successively resolving lower‑level undecidabilities.

They conjecture this iterative, self‑referential expansion of problem‑spaces constitutes a mechanism for open‑ended evolution and provides a computation‑theoretic basis for a biological arrow of time.