2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/193098Finsler and Lagrange spaces can be equivalently represented as almost Kahler manifolds enabled with a metric compatible canonical distinguished connection structure generalizing the Levi Civita connection. The goal of this paper is to perform a natural Fedosov-type deformation quantization of such geometries. All constructions are canonically derived for regular Lagrangians and/or fundamental Finsler functions on tangent bundles.the latex 2e variant of the manuscript accepted for JMP, 11pt, 23 pagesGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical PhysicsSymplectic Geometrytext