Inconsistency of the Global Minkowski Space: A Geometric Critique

For over a century, global Minkowski spacetime (M^4) has served as the foundational framework for four-dimensionalist ontologies and the ontological reification of the "block universe." This paper presents a strict geometric critique of this global structure by examining the non-commutative Lie algebra of the Poincaré group ISO(3,1), specifically the non-vanishing commutator between Lorentz boosts and spatial translations ([K_i, P_j] != 0). By constructing a closed operational circuit of alternating boosts and displacements within a homogeneous coordinate matrix framework, we mathematically demonstrate the existence of a residual coordinate discrepancy---an effect defined here as kinematic holonomy. We show that this fundamental anholonomy forces a structural tearing of both spatial and temporal coordinates (Delta{x} != 0, Delta{t} != 0), rendering a globally seamless, rigid 4D coordinate grid an unambiguous algebraic impossibility. This structural breakdown is grounded in a scale-invariant "Andromeda paradox," demonstrating that global Minkowski space cannot consistently support localized, independent covariance without yielding ontological contradictions. By exposing global Minkowski space as an illicit coordinate artifact rather than a coherent physical backdrop, this work dismantles the geometric necessity of eternalism and restores the persistent 3D world as a mathematically rigorous model for physical reality.