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Report . 2026
License: CC BY
Data sources: Datacite
ZENODO
Report . 2026
License: CC BY
Data sources: Datacite
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Realization Multiplicity and Persistence Selection in Structure-First Systems

Authors: Doumbouya, Lisa Michelle;

Realization Multiplicity and Persistence Selection in Structure-First Systems

Abstract

This paper introduces realization space as an explicit layer within structure-first descriptions of physical systems. Motivated by mathematical demonstrations of realization multiplicity in topology, the work distinguishes between structure, realization, accessibility, persistence, occupancy, and observability. The paper argues that structure determines admissibility but does not necessarily uniquely determine realization. A single underlying structure may support multiple admissible realizations, forming a realization space from which persistence-stable configurations are selected. Persistence is proposed as a realization-selection mechanism acting upon accessible realizations, while occupancy and observability emerge as subsequent observer-level constraints. The framework hierarchy developed is: Ψ → ℛ → A → P → Ω → O where structure determines admissibility, realization defines possible configurations, accessibility determines reachability, persistence selects stable configurations, occupancy determines active realization, and observability determines observer-resolved registration. The paper provides a conceptual foundation for understanding realization multiplicity, persistence selection, conjugate realizations, occupancy switching, phase transitions, and observer-resolved occupancy within a unified structure-first framework.

Keywords

topology, observability, exotic smooth structures, structure-first physics, structural framework, occupancy dynamics, structural selection, realization space, realization multiplicity, accessibility, phase transitions, resolution-limited systems, persistence selection, persistence basins, conjugate realizations

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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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