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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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On the Conservation of Structure

Authors: Shepheard, Kevin;

On the Conservation of Structure

Abstract

Energy is conserved. Momentum is conserved. Charge is conserved. I propose that under admissible dynamics there exists a constrained quantity, structure, whose persistence obeys a conservation law modulo dissipation cost. I formalize structure as a path-dependent functional over state space and show that time evolution may be reinterpreted as constrained minimization of a structural cost under energy budget. Selection emerges as the measurable rate of structural filtering. I derive conservation conditions, dissipation bounds, and a generalized continuity equation for structural density.

Keywords

Universal Selection Operator, Irreversibility, Information Geometry, Universal Natural Selection, Open Systems, Variational Principle, Admissibility, Thermodynamics, Physical cosmology, Structural Persistence, Quantum Measurement, Selection Load

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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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