Quantitative Verification of the Equality between Narrowly Non-Conserved Quantities and Generalized Compensating Quantities — Numerical Tests of Perihelion Precession of Multiple Planets Based on Unified Field Formulas

Author: Feng Dejian Affiliation: Independent Researcher, Founder of the Unified Theory of Matter and Energy ORCID: 0009-0000-5793-9666 Web of Science ResearcherID: PQA-8034-2026 DOI: 10.5281/zenodo.23201471 (Extended Research in the Series of Unified Field Preprints) Abstract Based on the core global unified field formula Φ = (εₓ · v² · t · T) / ε and its underlying axiom system established by Feng Dejian, this paper constructs a quantitative verification framework for the core physical proposition that "matter and energy are non-conserved in the narrow sense and conserved in the generalized global sense". Three inner solar system planets, Mercury, Venus and Mars, with a wide range of orbital asymmetry, are selected. Differential calculations of field quantities at the perihelion (aggregation state) and aphelion (degradation state) are performed to rigorously verify the quantitative equality for precise cancellation between narrowly non-conserved quantities and generalized compensating quantities: ΔΦ(narrow)+ΔΦ(compensation)=0. Combining the coupling relationship between the orbital field asymmetry ratio η and orbital eccentricity e, a two-component theoretical formula for planetary perihelion precession is derived: the ground-state relativistic component Δθ(ground-state)=6πv²/c² and the orbital asymmetry eccentricity component Δθ(eccentricity)=η · e · π/2. The geometric coefficient π/2 is obtained by rigorous analytical derivation from the broken symmetry of elliptical orbits without empirically fitted parameters. Conflicts in the original parameter definitions are corrected, and global numerical recalculation is carried out strictly following the underlying geometric axiom of the unified field ε=cos²θ=(v/c)². After revision, the ground-state precession components of the three planets achieve a consistency of 99.3%–99.8% against the classical observed values of general relativity. Meanwhile, an additional precession component induced by orbital field asymmetry, which is not covered by general relativity, is predicted, forming a falsifiable new astrophysical prediction. This study confirms that local narrow systems exhibit non-conservation, while the global cosmic cyclic system is strictly conserved. The conserved subject is the cyclic mechanism of matter and energy rather than isolated matter itself. Keywords: unified field formula; narrow non-conservation; generalized compensation mechanism; perihelion precession; field asymmetry ratio; spatial compression coefficient; falsifiable physical prediction