Gravitational Emergent Entropy with Unification (GEE-U): A Holographic Dissolution Framework for Dark Matter, Dark Energy, and the Four Fundamental Forces

Abstract We propose a unified framework based on gravitational dissipative structures and the holographic principle, named GEE-U (Gravitational Emergent Entropy with Unification). The core claim is that dark matter, dark energy, and the four fundamental forces (gravity, electromagnetism, weak force, strong force) are not independent entities, but effective projections of gravitational degrees of freedom during coarse-graining. Dark matter dissolution: Using the Granda-Oliveros (Ricci) cutoff holographic dark matter model. This cutoff is rigorously derived from the first law of horizon thermodynamics. An energy density scaling as naturally arises in a universe containing only baryons and radiation. Choosing – matches the observed DM-to-baryon ratio –. Through coarse-graining mapping and the Poisson equation, an effective gravitational potential correction is derived from local Ricci curvature fluctuations. First-principles derivation of the k-essence Lagrangian: The k-essence Lagrangian is derived from first principles using the holographic energy density and the k-essence definition: During matter domination, , and the Lagrangian approximates to . The exponent is determined by the observed constraint on the dark matter sound speed: A typical value gives , , satisfying the observed constraint . The relation between and is rigorously computed from the k-essence equation of motion: During matter domination, , , and , precisely mimicking matter behavior. The applicability conditions for the power-law approximation are: , , and matter domination. For , these conditions are satisfied throughout the matter-dominated era. Dark energy dissolution: The dark energy density is generalized to a three-layer structure of holographic and Early Dark Energy (EDE) components. The EDE peak fraction is dominated by Jeans-mass halos at . Cross-validation using both Press-Schechter and Sheth-Tormen mass functions yields –, consistent with the observed value . An interaction is introduced, flipping the sign of to be consistent with DESI DR2. Four fundamental forces unification: The boundary CFT contains the gauge group . The derivation from boundary CFT gauge fields to bulk gravitational dissipative structures has been completed. The gravitational entropy gradient in the bulk modifies the effective gauge coupling through holographic renormalization: Electroweak symmetry breaking corresponds to the potential phase transition of the bulk scalar field , with the electroweak scale determined by the critical temperature of dissipative structure formation. Proton decay is described by holographic instantons, with the grand unification scale – and proton lifetime – years, consistent with current experimental lower bounds. Bullet Cluster: The numerical simulation scheme for Bullet Cluster collision dynamics has been designed. In the GEE-U framework, the dark matter effect arises from the gravitational entropy gradient of the dissipative structure. During the collision, the dissipative structures change, but still produce gravitational gradients afterward. The final gravitational gradient distribution is determined by the collision dynamics. Based on standard initial conditions from the literature, the predicted lensing peak–gas peak separation behavior is consistent with cold dark matter. However, the order parameter evolution equation of GEE-U has not yet been implemented in numerical simulations, so a quantitative prediction of the time evolution of the gravitational gradient cannot be given. This is a key point requiring further testing. Unified dissolution equation: Core values: –, , , – (PS/ST cross-validation), (Planck + SH0ES), , , , –.