Bell Inequality violation and Non-Trivial Clifford-Logarithmic Algebra Theory

This paper introduces a novel extension of Clifford algebra incorporating logarithmic transformations. This structure generalizes the algebraic foundations by defining basis elements dynamically through logarithmic recursion, leading to a non-trivial notion of orthogonality.

A key result of this formalism is the emergence of a generalized Bell-type inequality, where logarithmic correlations naturally exceed the classical Bell treshold bound, suggesting an intrinsic non-locality in Clifford-Logarithmic structures. We also discuss the impact of choosing different logarithm branches, interpreting them as angular measurement operators that modulate phase correlations.