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| Formato: | Recurso digital |
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Zenodo
2025
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| Acceso en línea: | https://doi.org/10.5281/zenodo.18090134 |
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- <p>This paper proposes the “Wave-Gravity Equation,” a unified dynamical framework in which quantum mechanics and gravity are described by a single complex field. The theory assumes the existence of a minimal length a-star, not as a discretization of spacetime but as a physical upper bound on matter density. This bound defines a maximum density rho_core proportional to (a-star)^(-3), which prevents divergences in density and curvature at the source level.</p> <p>Starting from an energy functional consisting of a quantum kinetic term, a self-gravitational term, and a nonlinear saturation term implementing the minimal length, the Wave-Gravity Equation is derived via the variational principle. The resulting equation naturally generates a universal three-phase structure in self-gravitating systems: (1) a low-density “white phase” dominated by wave behavior, (2) a sharp “gray transition phase,” and (3) a high-density “black core phase” stabilized by saturation.</p> <p>In this framework, photons (white-phase limit) and black holes (black-phase limit) emerge as two extremes of the same underlying field, with ordinary particles occupying the intermediate gray phase. The minimal length eliminates singularities by enforcing density saturation, yielding finite-density black hole cores and a nonsingular early universe.</p> <p>The Wave-Gravity Equation thus provides a unified physical mechanism for wave behavior, localization, gravitational collapse, and density saturation, offering a coherent foundation for understanding photons, particles, black holes, and cosmological initial conditions within a single theoretical structure.</p>