Invariant-Preserving Dissipative Computation

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Authors: Koen Jaspers
Cited by: 0

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