2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51010A conjectured finite M-theory based on eleven-dimensional supergravity formulated in a superspace with a non-anticommutative <>-product of field operators is proposed. Supermembranes are incorporated in the superspace <>-product formalism. When the deformed supersymmetry invariant action of eleven-dimensional supergravity theory is expanded about the standard supersymmetry invariant action, the spontaneously compactified M-theory can yield a four-dimensional de Sitter spacetime inflationary solution with dark energy described by the four-form F-fields. A fit to the present cosmological data for an accelerating universe is obtained from matter fields describing the dominant dark matter and the four-form F-field dark energy. Chiral fermions are obtained from the M-theory by allowing singularities in the compact internal seven-dimensional space. The possibility of obtaining a realistic M-theory containing the standard model is discussed.25 pages, LaTeX file, no figuresHigh Energy Physics - TheoryAstrophysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - Phenomenologytext