Published November 5, 2025 | Version v1

The Klemm Zero-Point Operator – A Hermitian Framework for the Riemann Field and the Phase-Locked Polynomial Potential

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This paper introduces the Klemm Zero-Point Operator (KNO) — a self-adjoint Hermitian framework unifying the Riemann field, a stabilizing polynomial potential, and a phase-locked dynamical system. The model defines a five-dimensional Hermitian operator structure that preserves spectral coherence and topological invariance under evolution. 

While not a proof of the Riemann Hypothesis, it establishes a mathematically consistent foundation that connects Hermitian geometry with the spectral behavior of the zeta field. The study provides analytical definitions, a stability theorem for the polynomial potential, and a formal operator representation suitable for further analytic and computational exploration.

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