Unified Energy Exchange Theory (UEET): Phase-Network Foundations of Matter, Gravity and Cosmology

Unified Energy Exchange Theory (UEET): Phase-Network Foundations of Matter, Gravity and CosmologyThis paper introduces the Unified Energy Exchange Theory (UEET), a novel theoretical framework where spacetime, matter, and fundamental interactions emerge from a discrete phase network at the Planck scale. By modeling the universe as a tetrahedral lattice with nodes carrying compact phase variables $\theta_i \in [0, 2\pi)$, we derive relativistic field equations and gravity as emergent phenomena from microscopic phase dynamics.Key Highlights of the Framework:Emergent Gravity: Interprets gravity as the elastic deformation of the phase network, recovering Einstein's field equations in the continuum limit.Holographic Structure: Demonstrates that information density follows holographic scaling $S \sim A/4\ell_P^2$ due to phase gradient saturation.Cosmological Constant Solution: Naturally predicts the observed magnitude of the vacuum energy density ($\rho_\Lambda \sim M_{Pl}^2 H^2$) as statistical fluctuations of the network, matching observational data ($\sim 10^{-47} \text{ GeV}^4$) without fine-tuning.Particles as Solitons: Matter is modeled as stable topological vortices (solitons) within the phase field.Quantum-Gravity Bridge: Provides a unified description where quantum mechanics governs microscopic phase rotations, while General Relativity describes their macroscopic collective behavior.This work offers a potential resolution to the incompatibility between Quantum Field Theory and General Relativity by treating both as different limits of the same underlying discrete substrate.