Published on 01 January 2025 |
Quantum Node Gravity (QNG): A Discrete Three-Field Model for Stable Geometric Dynamics
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Quantum Node Gravity (QNG) is a minimal emergent-spacetime model based on three dynamical fields defined on a discrete node network: the node-volume V(x,t), the informational amplitude chi(x,t), and the phase field phi(x,t).Together, these fields generate stable geometric excitations, non-linear wave modes, and gravitational-like behavior without relying on a continuous metric or classical curvature tensor. The framework naturally avoids spacetime singularities through a minimal-volume condition, producing bounce-like evolution in collapsing geometries. Stable solitonic configurations of chi and phi function as particle analogues, while variations in phi encode spin, charge, and internal symmetries. This preprint presents the core equations of motion, a proposed Lagrangian formulation, numerical demonstrations of geometric stability, and an outline for future extensions toward a full emergent-gravity program. QNG is introduced not as a final theory, but as a discrete prototype for spacetime dynamics intended to stimulate discussion, critique, and further mathematical development within the community.