Structural Specification of the String-EFT Potential for the Hilbert-Pólya Hamiltonian

Key Points

• The aim is to define the coefficients of the string-derived potential for the Hilbert-Pólya operator.
• Provided technical specification for coefficients of string-derived potential.
• Identified transcendental weights from Virasoro-Shapiro amplitude.
• Determined growth constraints for self-adjoint property of the operator.
• Identified specific coefficients related to the string potential.
• Confirmed the role of transcendental weights in the operator's definition.
• Established necessary growth conditions for self-adjointness.