This paper presents the Baran Multi-Time Metric Framework, an original theoretical contribution first proposed by Abdullah Baran in 2025. All theoretical constructions in this work — the sector decomposition, the inter-sector interaction structure, the coupled-time ansatz, the effective light speed formula, and the quaternion time encoding — are original contributions of the author. The framework introduces the metric ds² = −Σ cₙ² dtₙ² + dx² + dy² + dz², generalizing Minkowski spacetime to an (N+3) -dimensional manifold M^N, 3 with N independent time axes sharing a common three-dimensional spatial manifold. Each time axis defines a sector with its own characteristic speed cₙ. Three cases are developed: N=1 (standard Minkowski, recovered as a limiting case), N=2 (the author's earlier two-time proposal), and general N. Mass in any sector curves the shared spatial geometry, producing gravitational effects in all sectors while remaining electromagnetically undetectable — reproducing the observational signatures of dark matter without additional assumptions. For N=3, Hamilton's quaternions provide a natural algebraic encoding of the three time axes via Im (H), yielding a compact isotropic metric ds² = −c²|dt|² + |dx|² with SO (3) rotational symmetry in time-space. The Hurwitz division algebra hierarchy (R, C, H, O) identifies N ∈ 1, 3, 7 as the algebraically privileged cases. Seven open problems are stated for future investigation. Written in Kurmanji Kurdish, Turkish and English.
Abdullah Baran (Tue,) studied this question.