Observed Persistence without Reconstructability Structural Conditions under Irreversible Projection
欧阳佳惠1
作者信息
1. 西北师范大学
折叠
Abstract
Across driven systems, a recurring empirical tension is observed: evolution remains coherent and produces durable structure, yet the underlying process cannot be reconstructed from local dissipation-based derivations. Observable trajectories persist longer and retain more organization than what local constraints alone would predict. This work treats this mismatch not as a modeling defect but as the starting phenomenon to be explained. We argue that under finite observation windows, what is accessed is necessarily a projection of ongoing irreversible change. Projection compresses continuous processes into finite, dimension-reduced representations, making time itself non-comparable across systems and shifting the basic object of comparison from time points to ordered paths. The observed contradiction between paths and local derivation then forces a separation: coherence can persist while phase reversibility fails. When relaxation is incomplete, prior change leaves retention that overlaps with subsequent driving, producing dislocated synchronization-new processes are imposed on unfinished remnants rather than replacing them. Most displacements dissipate, but a small subset survives, selected by coupling geometry. Under finite projection, this geometry becomes readable only statistically, yielding observable measures of coupling depth, orientation, and participation. The surviving outcomes appear as residuals: stable projected sections of high-dimensional dynamics. Lifespan differences among residuals lead to natural stratification, culminating in a durable topological skeleton that constrains future evolution. Persistence is thus explained as a consequence of irreversible projection, geometric selection, and stratified deposition, rather than optimization, design, or full process recoverability.
Key words
Observation as projection/ Trajectory incomparability/ Coherence without reversibility/ Dislocated synchronization/ Coupling geometry/ Residual formation/ Stratification/ Topological skeleton
引用本文复制引用
欧阳佳惠.Observed Persistence without Reconstructability Structural Conditions under Irreversible Projection[EB/OL].(2026-02-09)[2026-02-10].https://sinoxiv.napstic.cn/article/25566624.
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