Methodology & Clinical Sleep Science Sources

1. Modular 24-Hour Cycle Arithmetic: Every calculation maps bedtimes and wake times onto 1440-minute modular coordinates with configurable sleep latency (default 15 minutes) and ultradian cycle length (default 90 minutes).

2. Age Recommendations (CDC / AASM / AAP): Duration targets follow consensus guidelines published by the American Academy of Sleep Medicine, American Academy of Pediatrics, and Centers for Disease Control and Prevention.

3. Caffeine Pharmacokinetics: Residual caffeine estimates apply exponential decay C(t) = C0 * 0.5^(t / t_half) alongside clinical 8–10h sleep-architecture cutoff benchmarks.