Structural Cosmology v3. 5 extends the observational constraint framework developed in v3. 4 into the nonlinear regime, introducing a comprehensive theoretical and statistical framework for nonlinear structure formation, higher-order statistics, relativistic corrections, and baryonic feedback effects. The framework explores how structural evolution beyond linear perturbation theory may be associated with nonlinear mode coupling, information saturation, screening mechanisms, inverse cascade behavior, and higher-order correlations. A hierarchy of statistical observables—including the bispectrum, trispectrum, and an illustrative structural non-Gaussianity parameter fNLₛtruct—is introduced to investigate nonlinear structural signatures across scales. Version 3. 5 further develops relativistic projection effects, gauge interpretation, and a speculative pre-metric crossover concept as possible extensions toward future investigations of gravity and spacetime emergence. Baryonic feedback processes are interpreted within a structural dissipation framework, connecting astrophysical processes to observable cosmological signatures. Five new falsifiability criteria (C56–C60) extend the survival map established in v3. 4, covering nonlinear dynamics, higher-order statistics, relativistic effects, baryonic feedback, and internal consistency. The anticipated Euclid DR1 release is identified as the primary external opportunity for testing the framework’s central geometry–growth decoupling prediction. This release contains the complete v3. 5 preprint, 40 figures, reproducibility materials, and a demonstration script for figure-gallery reconstruction.
Koji Okino (Tue,) studied this question.
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