Mass as a Self-Consistent Mode of Time: A Gravitational–Quantum Resonator Concept

AbstractWe propose that inertial mass may emerge from a self-consistent resonance between ascalar field’s energy density and the spacetime time-dilation it induces. Using the Einstein–Klein–Gordon system in natural units (ℏ = c = G = 1), we show that a geometricself-consistency condition R99 ∼ 1/m with M (R99) ∼ αm/2 (for α ≈ 1.8) suggests acharacteristic scale m ∼ 0.3 mPl. A proof-of-concept numerical relaxation scheme(Appendix) indicates that such localized, self-sustaining modes can exist, consistent withknown boson star results. Higher radial modes suggest a discrete spectrum, implying thatmass quantization may have a geometric origin.