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Synapse
February 25, 20260 citationsOpen Access

Attractor-Driven Shape Universality in a Minimal Late-Time Interacting Dark Sector

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MOmasaki okada

Key Points

  • The research aims to identify the dynamical origins of shape universality within a minimal late-time interacting dark sector.
  • Establishing attractor-driven fast–slow reduction methodology
  • Utilizing numerical simulations to demonstrate shape universality
  • Applying PCA (Principal Component Analysis) for dimensional reduction
  • Calculating amplitude activation flow characteristics
  • Mapping growth dynamics using reduced growth mappings.
  • Achieved shape universality with L² residuals less than 0.5%
  • PCA reduction demonstrated efficiency with a score of 98.8%
  • Determined amplitude activation flow approximation at dA/dN ≃ 1.32 A^0.67
  • Verified reduced growth mapping R(z) as approximately 1 − α(z)A.

Abstract

This version establishes attractor-driven fast–slow reduction as the dynamical origin of the viable ridge. Shape universality (L² residual < 0. 5%), PCA reduction (98. 8%), amplitude activation flow (dA/dN ≃ 1. 32 A⁰. 67), and reduced growth mapping R (z) ≈ 1 − α (z) A are demonstrated numerically.

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Cite This Study

masaki okada (2026) studied this question.

synapsesocial.com/papers/699e9152f5123be5ed04eb9fhttps://doi.org/10.5281/zenodo.18736324
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1RLDS V: Microphysical Emergence of Regime-Limited Dark-Sector Dynamics — A Representative Reduction from Interacting Field Theory to the RLDS Attractor2026
  2. 2RLDS IV: Three Structural Consequences of a Dark-Sector Attractor — Inevitable Acceleration, Derived Matter Density, and the Phantom Prediction2026
  3. 3Numerical Existence of a Late-Time Localized Interaction Band in a Minimal Phenomenological Dark-Sector Model2026
  4. 4False Vacuum Decay as Dynamical Conformal Degeneration: Attractor Dynamics and CCC Application2026
  5. 5A Global Attractor for the Developmental Flow2026