November 9, 2025Open Access

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

Key Points

Mass emerges from self-consistent resonance involving energy density, indicating new insights into quantum gravity.
Core outcome suggests mass has a geometric origin, with implications for understanding gravitational phenomena.
Analysis through Einstein-Klein-Gordon system reveals a potential discrete spectrum related to mass quantization.
Findings highlight the possibility of localized modes, consistent with theoretical boson star models in particle physics.

Abstract

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.

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

Key Points

Abstract

Cite This Study