The Fundamentals of Stratophysics

Kevin, Narsh

doi:10.5281/zenodo.17421996

Published October 4, 2025 | Version v5

Publication Open

The Fundamentals of Stratophysics

Kevin, Narsh (Rights holder)

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 framework reproduces the ΛCDM background expansion while introducing layered, non-monotonic force profiles that weaken in dense environments and extend in diffuse cosmic regions. Derived from first principles of energy conservation and effective-field consistency, Stratophysics unifies the monotonic screening limit—bounded at approximately 20 percent gravitational amplification—with its natural analytic continuation, this uniqued solution is naturally derived from first principles and updates Stratophysics as a gravitational response near the cosmic unscreening epoch (z ≈ 1.2). The model provides a mathematically complete, conservation-preserving basis for exploring environment-dependent gravitational dynamics across laboratory, galactic, and cosmological scales.

Technical info (English)

Version v4 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

Notes (English)

Update summary (v5):
Introduces (1) first-principles derivation of controlled non-monotonicity, showing that the effective mass decreases with density near the critical threshold rho_t as a direct consequence of energy conservation; (2) definition of the non-monotonic Stratic Field as the unique analytic continuation of the chameleon mechanism; (3) full covariant Lagrangian and FRW cosmological integration demonstrating complete gravitational amplification (Delta g / g_N → 1) at the unscreening epoch z ≈ 1.2; (4) identification of a new observational regime linking the deceleration minimum, growth-rate peak, and ISW reversal; and (5) falsifiable merger-scale predictions through density-ordered Bullet-Cluster offsets. The framework now provides a mathematically complete, conservation-preserving explanation of full gravitational amplification consistent with all screening constraints.

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