The optimal i.i.d. prophet inequality over time is not the inverse golden ratio

Unrefereed AI-assisted mathematical candidate for the iid prophet inequality over time with arbitrary lease durations. The unrestricted asymptotic ratio exists and lies in [0.60922, 0.609816], below the inverse golden ratio. Includes a continuum game characterization and survival-weighted domination yielding deterministic near-optimality, not attainment by a bounded schedule. Written analytic arguments and Arb numerical certificates have distinct assurance scopes. Producer replay and negative controls do not establish external peer review, independent reproduction or formal verification. Original prose and data are CC0-1.0; original code is MIT licensed.