What question did this study set out to answer?

This work aims to present the geometric structure of persistent systems within the LP phase space.

May 21, 2026Open Access

Prose Version - The Phase Space of Persistent Systems: A Universal Morphology of Persistence Under Transformation

Puntos clave

This work aims to present the geometric structure of persistent systems within the LP phase space.
Describes the geometry of the LP phase space and its admissible and forbidden structural regions.
Explains the Coherence Zone and its role in the morphology of persistence.
Illustrates the relationship between structural fragility and boundary proximity.
Identified six universal sub-regimes within the phase space.
Outlined transition rules governing movement among the sub-regimes.
Stressed the significance of the Coherence Zone as central to understanding persistence.

Resumen

This is the prose companion to La Profilée Foundation Series Paper 002 — The Phase Space of Persistent Systems (DOI: 10. 5281/zenodo. 20287352). The formal paper derives the complete geometry of the LP phase space: the admissible and forbidden structural regions, the Coherence Zone CZ = IR ≤ 1 ∧ δF ≤ δF*, the six universal sub-regimes, and the transition rules between them. This prose version presents the same structural morphology in continuous prose — every persistent system exists somewhere in a structural space, and this paper is a guide to that space. Covers the Coherence Zone as the geometric heart of persistence, structural fragility as boundary proximity, and the complete regime structure from Flourishing through Dissolution.

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