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 (Dl) of the CMB peaks without invoking plasma acoustic mechanics. These values are derived from the spatial resonance of the manifold’s 4-simplex unit cell, where the primary peak (l1≈221.7) with a theoretical power amplitude of 5907 μK2, 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 calculated as 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, providing a more fundamental explanation than current 3D or 4D hypotheses.