Dark Annihilation Remnant (DAR) Hypothesis V13.4: A Quantitative Model for Emerging Dark Matter

Abstract / Research Summary (V13.4): This research proposes the Dark Annihilation Remnant (DAR) model, a theoretical framework where dark matter is defined not as a primordial component, but as an accumulative phenomenon derived from the expansionary dynamics of spacetime. It is postulated that metric stretching induces an asymmetry in the annihilation cycles of quantum vacuum virtual pairs, quantified by an inefficiency factor (𝜀). Unlike the ΛCDM model, the DAR hypothesis predicts a secular evolution of dark density proportional to cosmic time, offering a natural explanation for recent observations of massive galaxies in the early universe. Key updates in this version (V13.4): Quantitative Derivation: The inefficiency factor (𝜀 ≈ 10⁻²⁸) is derived by linking the Planck constant (ℎ) with the Hubble constant (𝐻₀). JWST Validation: Provides a mathematical solution to the "Maturity Conflict" in high-redshift galaxies such as GN-z11, where dark matter halos appear significantly less massive than predicted by the ΛCDM model. Predictive Power: Postulates the total absence of dark matter in galactic systems at 𝑧 > 12 and defines a transition towards a Big Crunch scenario due to secular mass accumulation. This work bridges the gap between quantum field fluctuations and cosmological evolution, offering a verifiable alternative to the WIMP paradigm.