Sleep Debt Scheduling — ForkJoin MCP

Tools

`sleep_debt`

Compute accumulated sleep debt with recovery schedule and thermodynamic cost

`sleep_schedule`

Optimize a sleep schedule using weighted scheduling with chronotype alignment

`weighted_recovery`

Compute weighted sleep recovery plan with diminishing returns

`circadian_topology`

Model circadian rhythm as fork/race/fold topology

`cognitive_cost`

Estimate cognitive cost of sleep debt using Landauer analogy

`scheduling_modifier`

Compute sleep debt as a Wallington Rotation scheduling modifier. Sleep debt inflates per-stage latency by a factor proportional to accumulated debt relative to capacity. The debt-adjusted formula: T_a...

`thm_sleep_debt`

Bounded sleep-debt witness: incomplete recovery leaves positive residual debt and reduced next-cycle service capacity, full recovery clears debt and restores baseline capacity, and debt above a wake-t...

`thm_sleep_schedule_threshold`

Coarse repeated-cycle sleep-schedule threshold witness: below-threshold and critical schedules stay debt-free across repeated cycles, while above-threshold schedules accumulate carried debt linearly i...

`thm_sleep_weighted_threshold`

Weighted repeated-cycle sleep-schedule bridge: an integerized literature-style critical wake boundary leaves subcritical and critical schedules debt-free, while supercritical schedules accumulate carr...

Discovery Endpoints

/llms.txt — LLM-readable summary
/llms-full.txt — Full reference with schemas
/skills — Skill definitions
/agents.json — Agent manifest
/.well-known/mcp.json — MCP discovery
/.well-known/agent-card.json — Agent card
/.well-known/openapi.json — OpenAPI 3.1
/.well-known/security.txt — Security contact
/health — Health check

Paper Reference

From "Being Irreversible" by Taylor William Buley.
LEDGER sections: Sleep Debt
Read the paper at Wallington Lab