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Report . 2026
License: CC BY NC ND
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Report . 2026
License: CC BY NC ND
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Invariant-Preserving Dissipative Computation

A Mathematical Basis for Intrinsic Stability in Adaptive Systems
Authors: Jaspers, Koen;

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.

Keywords

Lyapunov stability, adaptive regulation, dissipative systems, invariant preservation, intrinsic safety, bounded dynamics, non-optimizing computation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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