The Material Contraction Universe Model with Water Surface Analogy

Abstract This paper proposes a novel cosmological model, the "Material Contraction Universe Model," which challenges the standard Lambda-CDM model. Using a "water surface analogy," the model posits that rather than space expanding, all matter in the universe is contracting exponentially according to the function $\Omega(t)=e^{-\alpha t}$ (where $\alpha=H_0$). Key highlights of this model include: No Dark Matter Required: Eliminates the need for cold dark matter ($\Omega_c=0$) by introducing a "purge" mechanism where contracting matter releases dark energy. Cosmological Constant: Naturally generates the effective cosmological constant ($\Lambda_{eff}=3H_0^2$) without fine-tuning. MOND Derivation: Provides a natural derivation of the MOND acceleration ($a_0=cH_0$). Horizon Problem: Resolves the horizon problem without the need for cosmic inflation through a static block universe interpretation. Consistency: Reproduces CMB acoustic peaks and fits the SN Ia Hubble diagram with high accuracy. This model provides a geometric and ontological foundation for gravity and inertial mass, offering a unified perspective on the evolution of the universe.