Invariant-Preserving Dissipative Computation
Abstract
This note introduces Invariant-Preserving Dissipative Computation (IPDC), a mathematical framework for adaptive systems whose stability and safety arise from global invariants rather than from optimization objectives, logical constraints, or external supervision. Computation is framed as the evolution of a bounded dynamical system constrained by a non-increasing scalar functional, ensuring that all trajectories remain finite and converge to stable regimes. The contribution establishes conceptual and mathematical priority for a class of computational systems in which adaptation, memory, and regulation emerge from dissipation and invariant enforcement. The framework is substrate-agnostic and applies to analog, hybrid, or digital implementations. Implementation details are intentionally omitted. v0.0.0 — Fixed nothing. Everything stable.
Fields of Study & Subjects
Control and Stability of Dynamical Systems
Complex Systems and Dynamics
Formal Methods in Verification
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 19 January 2026
- Language
- EN