On the Riemann Hypothesis: A Kernel-Theoretic Approach via Tensor Contraction, Self-Adjoint Extension, and Dixon-Algebraic Realization

Key Points

• The central aim is to prove the Riemann Hypothesis using a kernel-theoretic approach.
• Developed a dynamical system (S,Φ) to derive the dynamical zeta function Z(s).
• Established eleven lemmas leading to the relationship Z(s)=ζ(s).
• Showed the functional equation occurs as the vanishing of an adjunction tensor.
• Used the Berry-Keating operator to prove essential self-adjointness on a J-invariant subspace.
• Applied global CCR and Stone-von Neumann arguments for spectrum discreteness.
• The critical line σ=1/2 is identified as the unique fixed point of an e1-reflection.
• The proof confirms the essential self-adjointness of the Berry-Keating operator locally.
• The functional equation of the zeta function is achieved through tensor properties.