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Elastic Spacetime Lattice Resonance Model - Mass Calculation of Celestial Bodies in the Solar System and the Interpretation of Gravity

Year: 2026
Type: article
Abstract: This paper presents a novel mechanical interpretation of spacetime, defining the vacuum as a dissipationless lattice network constructed from quantized unit-cell resonators. Departing from a purely geometric description of gravity, the model interprets the phenomenon as an emergent process arising from the internal tension and elastic compliance of the lattice ($\kappa=1/2h\sigma$, where $g \cdot 12h\sigma=c^{4} \cdot\rho \cdot R$). A fundamental coupling constant, the elastic coefficient of the spacetime lattice ($\gamma_g \approx 3.11 \times 10^{-27} \text{ m/kg}$), is derived, establishing a direct link between the Planck constant and the matter energy density defined as a "topological condensate" ($G \cdot h_{Planck}=\gamma_{g} \cdot c^{3} \cdot h^{4} \cdot \rho_{rel}$). This framework allows for a scalar-based derivation of relativistic effects in spherically symmetric systems. Through the analysis of orthogonal phase components and lattice tension gradients, the model recovers the static term known from the relativistic extension of Poisson's equations ($4 \pi G /3c^{2}$) and the exact values of the Einstein gravitational constant ($\kappa = 8 \pi G / c^{4}$) via geometrodynamic reduction, without the need for tensor calculus. The predictive power of the theory is verified by high-precision numerical correlations. Mass values are derived from the fundamental relationship between the Planck constant and the elementary lattice length ($h$). The results suggest a deep structural connection between microscopic quantum mechanics and macroscopic celestial mechanics. Keywords: spacetime lattice, elastic compliance, topological condensate.
DOI: 10.5281/zenodo.19676698
Language: English
Open Access status: green
OpenAlex ID: W7155060385
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