The Shade Hypothesis (V5): Radiative Flow, Time Dilation, and Structure Formation

Title: The Shade Hypothesis (V5): Radiative Flow, Time Dilation, and Structure Formation Abstract (Description):We propose a GR-anchored “Shade Hypothesis” in which counter-streaming radiation fields and gravitational potentials establish quasi-stationary shade domains where local clock rates are slightly suppressed and structures persist marginally longer. Using exact radiative spacetimes (Vaidya), the radiation-era FLRW solution, and linearized bounded-domain models, we derive quantitative bounds showing that fractional timing shifts scale as Φ/c² ≃ (4πG/c²) u R² and are ≲10⁻¹⁵ on galactic scales (and far smaller locally). The framework is falsifiable: any measurable dynamical imprint from radiation would require energy densities or trapping geometries exceeding observed astrophysical environments. We outline tests from Solar-System ephemerides, disk-galaxy rotation-curve residuals vs. interstellar radiation-field anisotropy, and laboratory counter-beam cavities. This version consolidates V2’s structure with V3’s formal anchors and adds an appendix of rendered equations for clarity. Keywords: cosmology; general relativity; radiation; time dilation; anisotropic stress; Vaidya metric; FLRW; rotation curves Notes:Version: v5 (APA formatted). Primary file: PDF; supplementary: DOCX and appendices. License: CC BY 4.0. ORCID: https://orcid.org/0009-0001-9004-7843