Geometric Origin of the CMB Peaks in a 4-Simplex 3.998D Fractional Manifold Reality

We extend the 3.998D unified geometric framework into the territory of the Cosmic Microwave Background (CMB) radiation acoustic peaks. presenting a plausible alternative explanation that avoids reliance on ΛCDM’s the Big Bang, Bounce, or Inflation hypotheses. Having already demonstrated that a near-4D spectral geometry effectively reproduces all three generations of particle masses, while simultaneously accounting for galactic rotation curves and the Hubble tension. Demonstrating the framework’s universality is therefore seen as a logical next step. Here, we apply the same framework rules to reproduce both the positions (l) and power amplitudes (D_l) of the CMB peaks without invoking plasma acoustic mechanics. These values are derived from the spatial resonance within the manifold’s 4-simplex unit cell, where the primary peak (l₁≈221.7) with a theoretical power amplitude of 5907 μK² are determined aligning with the Planck 2018 observations (≈5750-5950). Subsequent power amplitudes for peak positions l₂≈543.5, l₃≈809.5 and l₄ ~≈1109.5, are determined to be 1969 μK², 2363 μK², and 1082 μK² respectively. Given that these values are practically indistinguishable from observations, the model offers a coherent causal origin for cosmological data and provides a more fundamental explanation than current 3D or 4D hypotheses.