HγC P3: Boundary Clarification of Morphology-Stratified Bounded Comparison in the HγC Framework

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Authors: Hans Van Cools
Cited by: 13
References: 8

Abstract

This paper develops the next stage of the P-series by clarifying the boundary structure of morphology-stratified bounded comparison between the boundedly closed Track A galactic object and the Track B projected-profile morphology field in the HγC framework. P1 established that the relation between these two matured observational branches should not yet be read as full integration, but rather as bounded comparison organized through support-bearing correspondence, projection-conditioned residue, and branch-sensitive tension. P2 then showed that this comparison cannot remain morphology-blind once the internal maturity of the Track B branch is taken seriously. P3 takes the next justified step by asking where the boundary of bounded comparison now stands inside the morphology-stratified comparison field. On the Track A side, the paper restates the handed-forward galactic object as a comparison-tested support core centered on comparative center and comparative breadth. On the Track B side, it restates the projected-profile branch as a comparisonally non-uniform field whose internal morphology classes carry distinct comparisonal biases. The paper distinguishes three boundary zones internal to this matured comparison field. Continuity-bearing support remains strongest where broadened projected-profile organization, organized projected localization, and persistent broadened support remain positively legible against the Track A support core. Admissibly subordinate residue remains readable in structured remainder, especially through residual peaks and moderate forms of lagged persistence or partial realignment, so long as such morphology remains subordinate rather than support-bearing. Contained tension appears where strongly displaced lagged localization, strongly nonequilibrium persistence, or transition-sensitive partial realignment expose typed local limits of cross-branch readability without yet proliferating across the comparison field. The scope of the paper is deliberately limited. P3 does not claim full branch integration, unique inversion from galactic residual morphology to projected-profile morphology, precision merger-system reconstruction, relativistic completion, or temporal W-series reformulation. Instead, it establishes boundary-clarified bounded comparison and fixes the restricted threshold at which a later limited integration problem first becomes well posed.

Fields of Study & Subjects

Astronomy and Astrophysical Research Galaxies: Formation Evolution Phenomena Stellar planetary and galactic studies

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
26 April 2026
Language
EN
Document type
Preprint