Filaments, Voids, and Clusters Without Dark Matter: Spacetime Wave Dynamics in Cosmic Structure Formation

We present a geometric framework for large-scale structure (LSS) formation driven by spacetime wave-geometry dynamics. Building on baryogenesis (Paper #12) and galactic dynamics (Paper #13), we derive the Time Field Model’s (TFM) growth equations, solve them analytically, and validate against SDSS voids, DESI halo bias, and Planck CMB peaks. TFM naturally suppresses small-scale power, easing the σ₈ tension, and predicts testable signatures: 10–20% fewer dwarf galaxies than ΛCDM, detectable by Rubin/LSST; nHz–mHz gravitational waves from primordial spacetime-wave mergers, accessible to LISA or pulsar timing arrays. By replacing conventional clustering mechanisms, which rely on cold dark matter gravitational wells, with four-dimensional spacetime wave dynamics, TFM provides a purely geometric explanation for cosmic structure formation. Results are derived from HPC simulations using synthetic data; we invite the community to validate TFM with observational datasets.