Structural Consequences of Time-Preserving Closure

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Authors: Nicholas Dean de St. Croix
Cited by: 0

Abstract

This paper establishes the spatial consequences of time-preserving closure in finite closed systems. Paper (I) demonstrated that sustained temporal ordering requires structural non-completion: global reconciliation of unresolved constraints must be forbidden in finite ordering depth. The present work assumes that boundary condition and examines what must follow spatially. Two conditional constraints are derived: Reconciliation influence cannot propagate without bound in ordering depth. If reconciliation accessibility varies spatially, unresolved structure cannot redistribute neutrally and instead exhibits persistent, directionally biased accumulation. No dynamics, forces, metrics, or physical postulates are introduced. The results are structural impossibility statements derived solely from closure, locality, and non-completion. The analysis is explicitly conditional. The origin or prevalence of accessibility heterogeneity is not addressed. Operational discrimination within concrete substrates is developed in subsequent work. This paper forms Part II of the Gravitype structural series.

Fields of Study & Subjects

Relativity and Gravitational Theory Complex Systems and Dynamics Noncommutative and Quantum Gravity Theories

Publication details

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