Vacuum-Spark Hypothesis VI: Endogenous Genesis of Dark Matter and Energy via Probabilistic Multi-Spark Dynamics in the Quantum Void

This paper extends the Vacuum-Spark Hypothesis (VSH) to explain the endogenous genesis of the dark sector through a multi-spark paradigm in the quantum void. Using an exponential probability distribution for spark peak densities, we derive the emergence of dark matter relics (e. g. , axion-like particles and sterile neutrinos) from quenched fluctuations and the cosmological constant Λ as a statistical afterglow of metastable domains. The framework resolves the dark matter/energy coincidence without ad-hoc fields, attributing the observed ΩDM/Ωb ≈ 5 ratio to exponential suppression of high-density events. Integrating with prior VSH analyses of entropy genesis, baryon asymmetry, and primordial gravitational waves, we demonstrate robustness through analytical derivations and numerical evaluations. The model offers falsifiable predictions, including subtle CMB non-Gaussianities, blue-tilted GW spectra, and enhanced small-scale structures, testable by future observatories such as LISA, CMB-S4, and Euclid. This work unveils a unified narrative of cosmic Sṛṣṭi from light and shadow alike.