https://hscience.org/index.php/hij <div class="about_site"> <p><strong>ISSN:2821-3300</strong><br /><strong>DOI: 10.55672/hij</strong></p> <h2 data-start="114" data-end="133">Aims and Scope</h2> <p>The <strong><em>Hyperscience International Journal (HIJ)</em></strong> is a nonprofit, peer-reviewed, open-access journal publishing high-quality research in Physics, Astronomy, Mathematics, Computational Science, Biology, and Interdisciplinary Studies. All articles receive a <strong>Crossref DOI</strong>, are indexed in <strong>Google Scholar,</strong> and benefit from fast peer review <strong>(2–4 weeks)</strong>.</p> <p data-start="1683" data-end="1728"><strong>Author Registration Policy</strong></p> <p data-start="1735" data-end="1914">To maintain the security and integrity of the submission system, direct author self-registration is disabled. All user accounts are created and verified by the Journal Manager. Authors wishing to submit a manuscript should contact the HIJ Editorial Office at <strong data-start="1062" data-end="1090"><a class="decorated-link cursor-pointer" rel="noopener" data-start="1064" data-end="1088">[email protected]</a></strong> for registration and submission instructions.</p> </div> Hyperjournal en-US Hyperscience International Journal 2821-3300 https://hscience.org/index.php/hij/article/view/192 <p>This paper presents an exploratory, force-based framework for gravitation and ‎electrodynamics, motivated by a correspondence between Musakhail's aether dynamics ‎and Einsteinian special relativity. These two perspectives are interpreted through the lens of ‎Lagrangian-Hamiltonian duality, wherein force-based formulations (Lagrangian) and ‎energy-based formulations (Hamiltonian) are treated as complementary descriptions of ‎underlying physical dynamics. The aims of this work are threefold. First, to develop a force-‎based interpretation of gravitational interactions by examining Musakhail's force relation, ‎F=c^2 (m-m_0 ) in parallel with the relativistic energy expression, E^2=(pc)^2+‎‎(m_0 c^2 )^2 highlighting their dual structure. Second, to introduce and analyze two ‎exploratory electromagnetic four-vectors (J·E,E×B) and (ħω,v×B) employing an ‎extremization principle as a heuristic tool for investigating structural analogies between ‎dissipation, Poynting flux, and Lorentz-force dynamics. Third, to explore a minimal-scale ‎electro-gravitational correspondence through helical flux-tube geometries and a constant-‎mass acceleration mechanism, suggesting possible shared features between fermionic ‎transport and electromagnetic field configurations. The extremization procedure, in which ‎the scalar component of a four-vector is set equal to the magnitude of its vector ‎component, is applied heuristically to reveal formal parallels rather than to derive rigorous ‎field equations. Within this phenomenological model, gravitational interactions are ‎considered as collective nuclear-scale force processes, while electromagnetic energy ‎transport is examined through Lorentz-force cancellation and Poynting-flow relations. The ‎helical flux-tube structures provide a unifying geometric motif, with effective tension ‎identified with Newtonian gravitational force. This work is intended as a conceptual and ‎phenomenological exploration rather than a replacement for established relativistic field ‎theories. Its physical relevance depends on further mathematical development and ‎empirical validation. Several qualitative, testable consequences are outlined to motivate ‎future theoretical refinement and experimental assessment.‎</p> James Russell Farmer ‎ Muhammad Aslam Musakhail ‎ Copyright (c) 2026 Hyperscience International Journal https://creativecommons.org/licenses/by-nc/4.0 2026-02-23 2026-02-23 6 1 1 12 10.55672/hij2026pp1-12 https://hscience.org/index.php/hij/article/view/193 <p>This work extends previous investigations into the relationship between the Einsteinian ‎Hamiltonian formulation and the Musakhail aether-based Lagrangian description of ‎dynamics. While earlier studies established their simultaneous role in the Newtonian-‎Einsteinian framework, the present paper focuses specifically on a formal Lagrangian ‎dynamical analysis in order to derive the corresponding equation of motion. Within the ‎proposed framework, the resulting dynamics suggest a correspondence in which the ‎classical relation F=ma transitions naturally toward the relativistic energy expression E=‎mc^2, interpreted here through the restoration of Newtonian behavior during the so-called ‎Reverse Higgs process. In this regime, the effective mass remains constant (m=m_e ) ‎rather than velocity-dependent, permitting a force-based description of particle-wave ‎interaction. The analysis further introduces a rotating Einstein energy vector derived from ‎the invariant relation E^2=(pc)^2+(m_0 c^2 )^2, which is employed to describe the ‎cyclic interaction between fermionic constituents and electromagnetic wave structure. This ‎approach yields a dual interpretative framework in which either photon energy extraction or ‎spin measurement may occur, depending on the observational configuration. The ‎formalism also explores a complex representation in which the orthogonal axis is treated as ‎imaginary, producing a geometrical interpretation associated with oscillatory spin states of ‎fermions (±1/2) and photons (0,±1). The resulting model suggests an underlying ‎symmetry between fermionic and bosonic spin states within the proposed aether-‎dynamical environment, providing a phenomenological bridge between classical force ‎dynamics and relativistic energy relations.‎</p> James Russell Farmer ‎ Muhammad Aslam Musakhail ‎ Copyright (c) 2026 Hyperscience International Journal https://creativecommons.org/licenses/by-nc/4.0 2026-02-23 2026-02-23 6 1 13 18 10.55672/hij2026pp13-18