A No-Go Theorem for the Compatibility between Involutions of the First Order Differentials on a Lattice and the Continuum Limit

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38547We prove that the following three properties can not match each other on a lattice, that differentials of coordinate functions are algebraically dependent to their involutive conjugates, that the involution on a lattice is an antihomomorphism and that differential calculus has a natural continuum limit.LaTeX, 7 pages; No figures and tables. Significant modifications being carried outHigh Energy Physics - LatticeHigh Energy Physics - TheoryMathematical PhysicsA No-Go Theorem for the Compatibility between Involutions of the First Order Differentials on a Lattice and the Continuum Limittext