Author(s)

Owen Xie¹, Fengchun Xie²

¹East Chapel Hill High School, Chapel Hill, NC, USA.
²School of Chemistry and Chemical Engineering, South China University of Technology, Guangzhou, China.

We introduce a deformation wave model of brane cosmology, where a 5D membrane embedded in a 6D bulk spacetime undergoes intrinsic geometric deformations triggered by a Gaussian perturbation. This process drives a three-stage cosmic evolution—inflation zone, transition, and membrane oscillation—forming a “universe factory” that generates stable 4D universes at wave crests (matter-dominated) and troughs (antimatter-dominated). The Einstein Field Equations (EFE) are derived geometrically from the brane’s elastic dynamics, without invoking traditional inflation-like scalar fields, providing a physical mechanism for spacetime curvature. Dark energy emerges from the membrane’s intrinsic wave speed, yielding a constant density incorporated $\Lambda h_{\mu \nu }$ as in the EFE, consistent with late-time acceleration (${\Omega }_{\Lambda }=0.7$ ). Dark matter arises as the predecessor universes gravity traces in dark sectors, reproducing galactic ratios ($\frac{{\rho }_{DM}}{{\rho }_b}\approx 5$ ). The model aligns with CMB observations ($n_s=0.96$ ) and predicts a finite multiverse with testable CMB anisotropies. This framework unifies gravity, dark matter, and dark energy geometrically, offering a physically grounded alternative to standard brane inflation and ΛCDM.

Brane Cosmology, Deformation Wave, Geometric Gravity, Dark Energy, Dark Matter

Xie, O. and Xie, F. (2025) Geometric Deformation Wave Model of Brane Cosmology: A Unified Origin of Gravitation, Matter, Dark Matter and Dark Energy. Journal of Modern Physics, 16, 1084-1123. doi: 10.4236/jmp.2025.168056.