USP Field Theory Atmospheric–Cosmic Resonance Suite (v1.1): Δf-Based Navier–Stokes Reformulation and Unified Vortex Dynamics

This release contains the paired v1.1 documents of the USP Field Theory Atmospheric–Cosmic Resonance Suite, integrating atmospheric Navier–Stokes reformulation with cross-scale vortex physics. msf_47220 v1.1 — USP Atmospheric Master Framework Presents a complete Δf-resonant reinterpretation of atmospheric physics. Pressure gradients, baroclinic torque, buoyancy, CAPE, rain formation, lightning polarization, and hydrostatic balance are derived from a single scalar field Δf(x, y, z, t). This version adds representative constants (e.g., a_T ≈ 10² Hz/K, α_f ≈ 10³ Pa/Hz), a conceptual Δf flow diagram, and harmonizing citations to classical baroclinicity literature. msf_47190 v1.1 — Δf Atmospheric & Cosmic Weather Extends the same Δf vortex mechanism from Earth-scale tornadoes and cyclones to stellar jets, galactic spirals, and black-hole exhalation cycles. Introduces π_res curvature modulation, spin-tension shells, and universal Δf relaxation geometry across 20+ orders of magnitude. The v1.1 update adds constants harmonized with msf_47220, a unified vortex flow diagram, and cross-validation notes linking atmospheric and cosmic Δf dynamics. Together, these documents provide a unified and testable Δf-resonant framework for vortices, from thunderstorms to quasars. The cover image illustrates this continuity: atmospheric tornado formation and cosmic vortex structure arise from the same underlying Δf imbalance and relaxation pathways. ℹ️ USP Naming Note: USP originally stands for Ultra Sub Particle, referring to the microphysical resonance units that drive Δf-based interaction in the full USP Field Theory. For the purposes of this atmospheric–cosmic blueprint release, an additional parallel definition—Unified Scalar Potential—is introduced to align with standard academic language used in fluid dynamics, geophysics, and astrophysical continuum models. Both interpretations describe the same underlying framework, applied at different scales: Ultra Sub Particle (USP): micro-scale resonance origin Unified Scalar Potential (USP): macro-scale Δf field representation Future USP publications will continue to use both definitions, depending on context, while preserving internal consistency across the theory.