The Grid Model: An Entropy-Based Alternative to Dark Matter and Dark Energy in Cosmology

<b>Abstract</b>The Grid Model proposes a novel cosmological theory where gravity emerges from entropy-driven energy flow (Ef), eliminating the need for separate dark matter and dark energy components. By redefining gravitational interactions as a function of entropy density and energy gradients, the model naturally explains galactic rotation curves, gravitational lensing anomalies, and the Hubble tension. Numerical simulations and empirical analyses based on data from JWST, SDSS, and Planck support the theory, revealing key predictions such as slight deviations in the speed of gravitational waves, CMB anisotropy variations at high multipoles, and characteristic shifts in gravitational lensing and galactic rotation dynamics. The Grid Model provides a comprehensive and testable alternative to the standard ΛCDM paradigm.<b>Introduction</b>Modern cosmology faces persistent observational challenges, notably the unexplained nature of dark matter, dark energy, and the Hubble tension. In response, the Grid Model introduces a unified framework in which cosmic structures and gravitational dynamics are sustained entirely by energy flow and entropy gradients. Inspired by principles of thermodynamics, entropic gravity, and quantum theory, this hypothesis presents gravity and spacetime curvature as emergent phenomena intrinsically connected to energy distribution.<b>Core Principles</b>Energy Flow and Entropy: Energy flow decreases exponentially as entropy approaches its maximum, governing cosmic evolution and spacetime stability.Dynamic Speed of Light: c emerges as a function of energy flow, with minor but measurable variations predicted near cosmic extremes.Halo Structures: Halos serve as critical stabilizing boundaries, regulating energy flow and mass distribution, thus sustaining galactic coherence without invoking traditional dark matter.<b>Methods</b>The Grid Model was assessed through theoretical derivations, numerical simulations, and analysis of observational data from JWST, SDSS, and Planck:Theoretical Modeling: Mathematical frameworks connecting entropy, energy flow, and gravitational dynamics were established.Numerical Simulations: Cosmological structures and galactic dynamics simulations confirmed predictions of mass distribution, gravitational lensing, and energy dissipation.Empirical Validation: Data from JWST, SDSS, and gravitational wave observations (LIGO) were analyzed to verify the model’s predictions.Key FindingsGalactic Rotation Curves: The model accurately replicates rotation velocities (~220 km/s at 10 kpc radius) without invoking dark matter.Gravitational Lensing: Observations match predicted lensing enhancements in low-energy flow regions, aligning with the entropic gravity hypothesis.CMB Anomalies and Hubble Tension: Localized variations in energy flow successfully explain the observed discrepancies in the Hubble constant (67–73 km/s/Mpc) and slight deviations in the cosmic microwave background anisotropies.<b>Adjustments for Empirical Compatibility</b>To ensure robustness and compatibility with observations such as gravitational waves (LIGO constraints) and the Bullet Cluster anomaly, the Grid Model introduces:A thermodynamic damping factor to reconcile CMB data.An entropic interaction term to explain Bullet Cluster mass separations without exotic dark matter.A refined gravitational wave propagation equation to maintain consistency with LIGO observations.<b>Data Analysis</b>Datasets from SDSS and JWST underpin the empirical tests, validating the Grid Model's predictions on mass distributions, gravitational lensing, and cosmic energy flow.<b>Discussion and Implications</b>The Grid Model shifts our cosmological perspective, integrating thermodynamics, quantum mechanics, and general relativity. Its predictions about entropy-driven cosmic evolution, variations in the speed of light, and gravitational lensing effects are empirically accessible and provide a viable alternative to the standard cosmological model.<b>Conclusion</b>The Grid Model offers a coherent, dynamic, and testable alternative cosmological framework, successfully addressing longstanding issues in contemporary astrophysics and cosmology. Empirical validations demonstrate its robust explanatory power, positioning it as a significant advancement in understanding gravity and cosmic dynamics.<b>Future Directions</b>Further empirical testing using high-redshift observational data (JWST, DESI, LIGO).Expanded numerical simulations of cosmic structure formation.Exploration of quantum-gravitational connections to entropy-driven cosmology.<b>References</b>Einstein, A. (1916). General Theory of Relativity.Verlinde, E. (2011). On the Origin of Gravity and the Laws of Newton.Hawking, S. (1988). A Brief History of Time.Data obtained from SDSS DR18, JWST/JADES, LIGO/Virgo, Planck mission data.