Generalized Wave–Particle Duality in the D10Z Framework: Fractal Coherence and Nodal Structure in the TTA Mesh

This manuscript introduces a complete physical and mathematical reinterpretation of wave–particle duality through the D10Z Mechanics of Infinity. Unlike traditional interpretations based on measurement-induced collapse, the D10Z model treats duality as an emergent phenomenon governed by the internal coherence of nodal structures (Zₙ) embedded within a fractal quantum mesh (TTAϵ) at GM-scale (10⁻⁵¹ m). A new Fractal Coherence Metric C(Z) is defined to measure the degree of harmonic alignment of a node. The system exhibits: Wave-like behavior when C(Z) > C₍classical₎, characterized by interference and coherent spatial extension. Particle-like behavior when C(Z) < C₍classical₎, where structural decoherence collapses the node into a localized entity. This transition is not stochastic but deterministic, governed by the harmony (or dissonance) of subnodes at GM scale. The duality is thus not a binary toggle but a continuous spectrum modulated by internal geometry and environmental interaction. Key Contributions: Definition of the coherence metric C(Z) as a function of Φₙ(Z) and v(Z). Reformulation of duality as an emergent nodal resonance. Rejection of wavefunction collapse; replaced by structural decoherence via GM subnode misalignment. Proposal of experimental validation via C(Z) tracking under nodal/environmental variation. This framework establishes duality as a structural property of the D10Z nodal network, aligning quantum behavior with the internal physical architecture of the cosmos. Keywords:Wave–Particle Duality, Quantum Decoherence, Fractal Coherence Metric, D10Z Mechanics, TTA Mesh, Spiderweb Fabric, Nodal Structure, Zn Parameter, GM Subnodes, Φₙ(Z), Quantum Emergence, Infinite Mechanics