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Published October 4, 2025 | Version v4

The Fundamentals of Stratophysics

Description

We present Stratophysics, a validated theoretical framework in which deviations from Newtonian gravity arise from a density-dependent scalar field with an analytically constrained effective mass. The model preserves the ΛCDM background while introducing layered force profiles that weaken in dense environments and extend in diffuse cosmic regions. Derived from first principles of elliptic regularity and effective-field consistency, Stratophysics provides a mathematically complete basis for studying environment-dependent gravitational effects across laboratory, galactic, and cosmological scales.

Technical info (English)

This version marks the transition of Stratophysics from an exploratory pedagogical model to a validated theoretical framework. The Gravity Amplification Theorem and elliptic regularity constraints now form the foundation for a self-consistent, density-dependent scalar theory derived from first principles. AI-assisted reasoning was used to structure and refine the derivations, while the conceptual framework, logic, and methodology remain the author’s original contributions. Although empirical testing is still forthcoming, the framework establishes a mathematically complete and observationally consistent basis for future research and educational exploration. Released under CC BY-SA 4.0 International.

Notes (En)

Update summary (v4):
Includes (1) numerical validation of internal consistency via leapfrog integration; (2) Bayesian analysis of wide-binary dynamics using Gaia EDR3; (3) clarified distinction between mathematical validation and empirical falsification; (4) explicit timeline for observational testing with Vera Rubin and Gaia DR4–5; and (5) expanded discussion of limitations and theoretical assumptions. No empirical claims are made — the framework remains theoretical, consistent, and falsifiable

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Additional titles

Subtitle (En)
Theoretical Framework and Methodology