ψ⁸: Shadows of the Past — A Minimal Retentive Equation for Late-Time Cosmology
Year: 2026
Type: article
Abstract: This paper introduces the Retentive Shadow Equation, a minimal dynamical law governing the persistence of structural difference in the late-time universe. We formalize the condition \frac{d}{dt}|\Delta\psi(t)| \to 0 for all \Xi>0, showing that once a retentive node is formed, structural difference ceases to decay and approaches a stable equilibrium — the Δψ-floor. This regime explains several late-time anomalies observed in Euclid weak-lensing data, including correlation-time plateaus (0.2 < z < 0.5), void ghosting, and extended topological persistence. The proposed formalism provides a parsimonious alternative to ΛCDM and defines a falsifiable criterion for identifying retentive behavior in cosmic structures. As part of the ψ-Architecture Research Series, this work consolidates the mathematical and observational basis of retentive cosmology.
Author: Yulia, Logacheva
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7127961456
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