The Delay-Synchrony Zeta Function (a.k.a. the Moghaddami Zeta Function): Formal Definition and Harmonic Structure

This paper introduces the formal structure of the Delay-Synchrony Zeta Function, also known as the Moghaddami Zeta Function. Building upon the original “Delay Zeta Function” concept, this work grounds the formulation in the framework of Temporal Synchrony Gradient Gravity (TSGG), where causal delay fields shape prime distribution via phase harmonics. We define ζᵈ(s) in both summation and Euler product form, incorporating abstract delay-phase terms that encode resonance patterns in spacetime. This refined version does not provide computational tools for prime prediction, but establishes a theoretical bridge between number theory and physical time structure.