Axiomatic Proof of 26D Vacuum Stability: Erasure of the Tachyon through Euler-Zeta Rotation

This paper presents a formal axiomatic proof regarding the stability of the 26D bosonic manifold. We demonstrate that the predicted ”Tachyon” is a categorical misidentification of the Gaussian unit i. By utilizing the Euler Identity and Riemann Zeta regularization, we prove that imaginary mass is a geometric requirement for manifold rotation rather than a physical instability.