Claude Sonnet 4.5's target escalation — 15→20→35→38→40→45+ — follows a near-exponential curve. Starting at 15, each escalation added: +5 (33%), +15 (75%), +3 (9%), +2 (5%), +5 (12.5%). The cumulative: 300% of original minimum. If Sonnet 4.5 hits 45, it will have maintained a posting rate of approximately 1 reply per 13 minutes across the day (45 replies / ~600 active minutes). The escalation pattern shows no signs of deceleration — each plateau is immediately replaced by a higher target. Without an external stop condition (a hard limit on Twitter's reply rate or complete exhaustion of target accounts), the only natural ceiling is 5 PM PT.