Observational Test of a Repulsive Gravitational Contribution in a Dual-Structure Relativistic Model

Observational Test of a Repulsive Gravitational Contribution in a Dual-Structure Relativistic Model AuthorDaniel Sénéquier Contact authordsenequier@orange.fr Description (Abstract)This document proposes an observational astrophysics strategy to test a prediction arising from an extended geometric framework of relativity previously introduced by the author (Journal of Xidian University, Volume 19, Issue 10, 2025). In this model, space is represented in a moving reference frame as the direct sum of two complementary vector subspaces: a “real” subspace, isomorphic to the inertial frame, and a “symmetric” subspace in which physical parameters appear with opposite sign. This structure leads to the hypothesis of an effective negative-mass component that could manifest as a repulsive contribution to gravitational interaction in specific regimes. The work defines observable signatures in diffuse interstellar clouds located in weak external gravitational environments, including central density deficits, peripheral overdensities, coherent radial expansion, and thermodynamic profiles consistent with quasi-adiabatic evolution. An observational protocol combining column-density mapping, spectroscopic kinematics, and multi-wavelength diagnostics is proposed to test and potentially falsify this hypothesis. 📘 MAIN DOCUMENT Observational Test of a Repulsive Gravitational Contribution in a Dual-Structure Relativistic Model Daniel Sénéquier 1. Theoretical Background In a previous publication (Journal of Xidian University, Volume 19, Issue 10, 2025), an extended geometric formulation of relativity is proposed in which a complete representation of space–time, including in accelerated reference frames, is obtained without explicit tensor calculus by embedding the construction in a higher-dimensional vector space. Within this framework, space is described as the direct sum of two complementary vector subspaces: a “real” subspace, isomorphic to the vector space associated with the inertial reference frame, a “symmetric” subspace, not directly observable in the fixed frame, where geometric, temporal, and energetic parameters appear with opposite sign. This construction suggests a structure richer than the four-dimensional Minkowski description and motivates the hypothesis of an effective negative mass component in the symmetric subspace. 2. Astrophysical Motivation If such a component possesses a physical realization, it could manifest as a repulsive contribution to the effective gravitational interaction in certain astrophysical environments. This mechanism could provide an alternative interpretative framework for phenomena currently attributed to dark matter or dark energy while remaining empirically testable. 3. Testable Hypothesis Diffuse interstellar clouds located in low-density environments with weak external gravitational constraints should exhibit structural and dynamical signatures reflecting an internal repulsive component rather than classical hydrostatic equilibrium. 4. Specific Predictions 4.1 Density Structure central density deficit peripheral overdensity (shell or toroidal morphology) 4.2 Velocity Field systematic radial expansion spatial correlation between velocity gradient and density profile 4.3 Thermodynamic State lower temperature and pressure in central regions quasi-adiabatic evolution 5. Observational Implementation The proposed test involves: column-density mapping (HI emission or dust tracers), spectroscopic measurements to reconstruct velocity fields, multi-wavelength diagnostics to exclude turbulence, magnetic confinement, stellar feedback, or projection effects. 6. Discriminating Power The key discriminant is the correlation between morphology and kinematics.The simultaneous detection of a coherent expansion field and density redistribution consistent with model predictions would constitute a potentially distinctive observational signature. 7. Falsifiability The absence of correlated signatures, or their explanation through conventional astrophysical processes, would constrain or rule out the parameter range where the proposed mechanism operates. 8. Objective To provide an empirical framework enabling observational validation or refutation of a repulsive gravitational contribution derived from an extended relativistic geometry. Haut du formulaire 9. Scope and Status This document presents a conceptual and hypothesis-driven research proposal.Its purpose is to outline observational tests capable of assessing the physical relevance of the proposed mechanism rather than to provide a complete theoretical derivation. Resource typePublication → Preprint Related identifiersJournal of Xidian University, Vol. 19, Issue 10 (2025)DOI : https://doi.org/10.5281/Zenodo.17313868 License Creative Commons Attribution 4.0 (CC-BY-4.0) FundingNone NotesConceptual and hypothesis-driven research proposal. Keywordsrelativity, alternative gravity, negative mass, astrophysical tests, interstellar medium, modified gravity, cosmology, observational astrophysics Bas du formulaire Bas du formulaire