Author:
Ship, Thomas
Category:
Research Papers
Sub-Category:
Mathematical Physics
Language:
English
Date Published:
February 5, 2026
Downloads:
107
Keywords:
Hubbleton, Omnidir Operator, DFST flux–stress–tension, and Ωπ‑Sphere geometry, Omnidir Hubble Parameter
Abstract:
Abstract. The UQE–DFST framework introduces a unified gravitational architecture in which quantum mass interactions and geometric curvature operate as parallel, complementary channels. Higgs‑massive sectors couple through the QGC–Hubbleton hierarchy, generating a quantum‑mass field that propagates through the 32‑cell Force–Dimension–State‑Scale Matrix and projects onto the Ωπ‑Sphere. Massless and radiative sectors couple through the geometric channel, governed by an extended Einstein curvature equation defined directly on the Ωπ manifold. The Ωπ‑Sphere serves as the global reconciliation surface on which these channels coexist, producing a dual‑channel gravitational state that reduces to general relativity at low energies and exhibits quantum‑mass‑driven behaviour at high energies. This architecture is extended by the Omnidir Operator, a universal expansion–contraction mechanism that weights all fields, equilibrium structures, and quantum‑gravity equations by the local omnidirectional expansion state. The resulting theory provides a coherent, multi‑scale gravitational framework that integrates quantum structure, geometric curvature, omnidirectional expansion, and π‑structured cosmological projection into a single, internally consistent architecture.
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