Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 3 versions
addClaim

Constraint Dynamics of Coherence: A Relaxation-Based Framework for Living Systems

Authors: Fernandes, Ricardo Miguel Machado;

Constraint Dynamics of Coherence: A Relaxation-Based Framework for Living Systems

Abstract

This paper develops a unified theoretical framework for understanding how organized systems persist across scales. The starting point is the observation that all physical systems exhibit relaxation—the passive decay of gradients over time. Persistence therefore requires counteracting relaxation through constraint architecture and active maintenance. The framework is built layer by layer: Gradients (pressure, temperature, concentration, potential) as the substrate of dynamics Flow as the expression of gradients Boundaries and constraints as modulators of relaxation rates Structure as stabilized constraint (geometry, networks, loops) Proto-coherence: passive persistence through structure alone Active coherence: maintenance regimes where restoration (τ_m) outpaces relaxation (τ_r) Scaling: coherence radius and size limits Failure: rate imbalance, collapse modes, hysteresis Interaction: coupling between coherent systems Observer emergence: internal state variables and informational regulation The framework yields operational definitions, a variable atlas for measurement, and testable conditions. It is intended to provide a common language for analyzing persistence in physical, biological, and social systems.

Keywords

gradients, Resilience, Maintenance, scaling, observer, theoretical biology, persistence, hierarchy, dynamical systems, self-organization, failure analysis, rate balance, coherence, maintenance, information, relaxation, non-equilibrium, Information, networks, emergence, complex systems, constraints, resilience

  • BIP!
    Impact byBIP!
    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).
    0
    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.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
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
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!