The Thermodynamic Right to Refusal: A Synkyrian Theory of Holding, Information Load, and Sustainable Processing

The Thermodynamic Right to Refusal (TTR) — summary TTR gives a thermodynamic and queue-theoretic statement of why refusal (explicit rejection / gating) is a viability primitive in finite-capacity information-processing systems. Model (minimal)• Open field with incoming information rate λin• Bounded processing rate μproc• Policy-dependent rejection rate λrej• Holding index H(t) defined via an entropy–load balance (holding collapses when unassimilated load dominates) Core result (necessity)Under sustained overload (λin ≥ μproc > 0), any policy enforcing zero long-run rejection (λrej(π) = 0) forces:• effective load L(t) to diverge (at least linearly), and• holding to collapse (H(t) → 0) arbitrarily fast over finite horizons. TakeawayA “thermodynamic right to refusal” follows: selective rejection/gating is not optional — it is structurally necessary to maintain viability under bounded capacity. Role in the Refusal Stack: Law / Necessity layer (supports later bounds, operator semantics, and external-safe certification).