Abstract:
This paper introduces the Geometrodynamic Particle Model (GPM), a novel framework positing that fundamental particles are not point-like excitations but are intrinsically ten-dimensional, stable, extremal micro-black holes. This model is constructed upon the dimensional requirements of superstring theory and the established principles of general relativity. We propose that the observed properties of particles—mass, charge, spin, and generation—are manifestations of the complex geometry of compactified higher dimensions, as described by Calabi-Yau manifolds. The mechanism of particle genesis is identified with quantum gravitational fluctuations at the Planck scale, re-framing Hawking radiation as the fundamental process of particle actualization from a quantum foam of virtual black holes. The model finds substantial support in the identical gyromagnetic ratio (g=2) of the Dirac electron and the Kerr-Newman metric solution. By identifying stable particles with zero-temperature extremal black holes, which correspond to Bogomol’nyi–Prasad–Sommerfeld (BPS) states in supersymmetric theories, the GPM offers a geometric origin for particle stability. This framework inherently incorporates gravity, provides a potential resolution to the hierarchy problem through warped compactification, and suggests a mechanism for the cosmological matter-antimatter asymmetry. The GPM thus represents a significant step towards a unified description of fundamental forces and matter, resolving key deficiencies of the Standard Model through a geometrodynamic paradigm.
Yıldırım, E. (2025). The Geometrodynamic Origin of Particles: A Black Hole-Brane Unification Model. Zenodo. https://doi.org/10.5281/zenodo.17039475
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