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July 7, 2026Open Access

The Unconditional Proof of the Failure of the Riemann Hypothesis Proof by Contradiction( 2nd independent solution) : Based on the Local Langlands Correspondence for GL(2), Unitary Principal Series Construction, and Global Joint Constraints on the Galois Modulus and Central Character Weight

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This analysis aims to provide an unconditional proof of the failure of the Riemann Hypothesis using a contradiction approach.
Constructed specific unitary principal series representations π_{iα} of GL_2(A_Q).
Calculated the central character weight k_ω = 0 unconditionally.
Assumed the Riemann Hypothesis holds and derived contradictions using Galois modulus and zero transmission.
Derived conditions |α_v| = |β_v| = q_v^{1/2} leading to q_v = 1, contradicting q_v ≥ 2.
Showed k_ω = -1 contradicts k_ω = 0.
Validated findings through two independent contradiction paths for verification.

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Randomized trial demonstrates Riemann Hypothesis failure in automorphic representations, highlighting fundamental contradictions.

子泰秦 (2026) studied this question.

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