Axial Gravitational Stability of the Six-Throat Core and Positive Global Wave Continuation on the Periodic Completion
Year: 2026
Type: article
Abstract: This paper establishes full odd-even radiative gravitational stability of the exact spherical six-throat core and retains the positive global wave-continuation construction on the exact periodic completion.On the spherical core, the odd-parity gravitational operator admits an exact positive factorization for every radiative harmonic from two upward. The Geometric-Strain Response, or GSR, constitutive completion supplies a positive and nondegenerate reciprocal response matrix. The resulting even-parity operator is the Paper VI geometric operator plus a positive semidefinite GSR correction. Consequently, both radiative parity sectors possess strictly positive spatial operators throughout the adopted positive-definite GSR constitutive domain.The full odd-even radiative stability theorem applies to the spherical six-throat core. The separate global periodic-continuation theorem retains its defined scope: it provides a constructive positive wave-continuation operator on the exact Paper IV periodic cycle and is not presented as a derivation of the complete nonspherical linearized field system.The accompanying reproducibility program verifies the core potential calculation, positive quadratic-form probes, the global continuation spectrum, the finite periodic return, and the GSR constitutive positivity conditions.The GSR theorem does not depend on a privileged numerical parameter set. The reproducibility calculation uses a normalized positive-definite regression seed only to exercise the constitutive verification pipeline. No particular numerical tuple enters the theorem. The scientific result is the coefficient-independent positivity statement over the full positive-definite and nondegenerate GSR domain.Numerical identification of the five constitutive response functions belongs to the observational load and support calibration layer of Paper XIV. The numerical witness used in the reproducibility package is therefore a verification device and is not presented as a measured physical calibration of the GSR modulus functions.
Author: MUSSA, IBRAHIM MOHAMMED
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7210267172
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