Quantum Tiers of the Vacuum: A Hydrogen-Like Model for Variable Constants and Multiverse Gateways

We propose a fundamental paradigm in which the vacuum is not empty but a discrete quantum state of a dynamical scalar field, the meta-field Φ. Drawing an analogy with the quantized energy levels of the hydrogen atom, this framework posits the existence of multiple vacuum tiers—discrete, stable configurations of Φ labeled by a quantum number n—each characterized by tier-specific values of fundamental dimensional constants. The speed of light in vacuum c and the Planck constant h become emergent properties of the vacuum state, varying reciprocally across tiers as cₙ = c₀ e^{{-α(n−30)}} and hₙ = h₀ e^{{+α(n−30)}} with α ≈ 0.01, while the fine-structure constant α_EM and the vacuum permittivity ε₀ remain strictly constant. The theory is grounded in a covariant action principle where c(Φ) couples directly to gravity: c⁴(Φ) / 16πG R. This hydrogen-like structure naturally resolves major cosmological puzzles: the large vacuum energy in high-energy tiers drives a period of inflation and solves the horizon problem; tier transitions provide a mechanism for instantaneous reheating at the GUT scale; and the slow evolution toward higher tiers in the current epoch explains dark energy while naturally resolving the Hubble tension. Furthermore, we demonstrate that the extreme geometry near rapidly spinning Kerr black holes acts as a catalytic gateway between tiers, enhancing transition probabilities within a defined resonance zone (r_H < r ≲ 1.5M) by a factor ~10⁴, yielding a transition probability P_Fe ~ 10⁻⁵ per iron nucleus. This leads to specific, falsifiable predictions across multiple independent channels: an anomalous energy-dependent composition of Ultra-High Energy Cosmic Rays (UHECRs) exclusively from spinning black holes; a quasi-monochromatic GUT-line in gamma-ray spectra (including radiation emitted during the tunneling process itself); point-source anti-nuclei fluxes; a high-frequency stochastic gravitational wave background; and measurable deviations in cosmological distance measures. The framework renders the multiverse concept testable, transforming black holes from endpoints of collapse into fundamental connectors in a tiered cosmic architecture.