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| Format: | Recurso digital |
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Zenodo
2026
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| Online-Zugang: | https://doi.org/10.5281/zenodo.19414875 |
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Inhaltsangabe:
- <p>We present GEODE 4.1, a nonlinear scalar-tensor effective framework of emergent gravity based on an informational scalar field χ. The model extends GEODE 3.0 by providing a fully dynamical Lagrangian formulation capable of reproducing galactic rotation curves, gravitational lensing estimates, and cluster dynamics without dark matter.<br>The key result is the emergence from the nonlinear kinetic structure of the modified acceleration law:<br>g_eff = sqrt( g_N^2 + g_N * A )<br>The kinetic function — derived in collaboration with the AI (chagpt, Gemini flash, Cloude) and numerically verified by Cloude — guarantees mathematical stability and consistency with local relativistic tests. GEODE 4.1 should be interpreted as an effective phenomenological theory: it does not yet represent a complete fundamental theory, but constitutes a coherent and predictive framework at galactic and cluster scales.</p> <p>1. Introduction<br>Observations of galactic rotation curves, gravitational lensing, and cluster dynamics challenge standard General Relativity unless dark matter is introduced. GEODE proposes an alternative: gravity emerges from heuristic quantum informational correlations encoded in the scalar field χ.<br>GEODE 3.0 successfully reproduced observational phenomenology but lacked a fundamental Lagrangian structure. GEODE 4.1 provides this missing structure through a nonlinear scalar-tensor action.</p>