November 9, 2025Open Access

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

Key Points

Localized modes indicate a relationship between energy density and spacetime, suggesting a fundamental structure of mass.
Numerical solution confirms the existence of self-sustaining modes in the proposed gravitational-quantum framework.
The Einstein–Klein–Gordon system provides a theoretical basis for understanding mass in terms of resonance and geometry.
Further exploration of discrete mass spectrum highlights potential insights into mass quantization in physics.

Abstract

AbstractWe propose that inertial mass may emerge from a self-consistentresonance between a scalar field’s energy density and the spacetimetime-dilation it induces. Using the Einstein–Klein–Gordon system innatural units (ℏ = c = G = 1), we derive the geometric self-consistencyconditions R99 ∼ 1/m and M (R99) ≈ 0.63 m analytically from knownboson star scaling relations. A proof-of-concept numerical solutionusing a shooting–relaxation scheme (Appendix A) confirms that suchlocalized, self-sustaining modes exist. Higher radial modes yield a dis-crete mass spectrum, suggesting that mass quantization may have ageometric origin.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Authors

Kim Yeon Je

Actions

Institutions

Hongik University

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

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

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study