From Logic to Zeros: Truth-Table Methods in Riemann Hypothesis Analysis

The Riemann Hypothesis remains unresolved despite numerous attempts. This study introduces a logical truth-table approach to evaluate the conditional structure of the hypothesis, building on prior work using multiplicative telescoping and prime boundary gaps. Four truth cases are analyzed: three support the hypothesis, while one initially appears as a counterexample. However, this disproof conflicts with Gödel’s Incompleteness Theorem, leaving the remaining cases to reinforce the hypothesis. This method offers a novel logical framework for assessing conditional hypotheses and has broader applications in logic, language modeling, and engineering.