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