Technical Appendix: Extra-Galactic Validation of the k-Constant via JWST Data
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2026
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| author | Luca Casprini |
| author_facet | Luca Casprini |
| contents | <p>This research provides the definitive empirical validation of the <strong>Universal Stiffness Constant (<span><span><span><span><span>k</span><span>≈</span></span><span><span>0.037</span></span></span></span></span>)</strong> through the analysis of high-resolution NIRCam data from the <strong>James Webb Space Telescope (JWST)</strong>, specifically targeting the Einstein Ring <strong>SPT-S J041839-4751.8</strong>.</p> <p>By measuring the radial intensity decay of the gravitational lens, we demonstrate that the "Vacuum Stiffness" remains invariant across eight orders of magnitude (<span><span><span><span><span>1</span><span>0<span><span><span><span><span><span><span>8</span></span></span></span></span></span></span></span></span></span></span></span>), showing perfect consistency with previous measurements obtained from the event horizons of supermassive black holes (M87* and Sgr A*).</p> <p><strong>Key Breakthroughs Included:</strong></p> <ul> <li> <p><strong>Scale Invariance:</strong> Verification that spacetime responds as an elastic solid with a fixed modulus from AU to Kiloparsec scales.</p> </li> <li> <p><strong>Hubble Tension Resolution:</strong> Application of the <span><span><span><span><span>k</span></span></span></span></span>-constant as a mechanical damping factor, converging local expansion measurements with CMB data (<span><span><span><span><span><span>H</span><span><span><span><span><span><span><span>0</span></span></span></span><span></span></span></span></span></span><span>≈</span></span><span><span>70.5</span></span></span></span></span> km/s/Mpc).</p> </li> <li> <p><strong>Structural Solution to <span><span><span><span><span>Λ</span></span></span></span></span>:</strong> Resolution of the Cosmological Constant problem by treating vacuum energy as mechanical deformation work.</p> </li> <li> <p><strong>Redundancy of Hypotheses:</strong> Formal demonstration that the introduction of Dark Matter and Gravitons is superfluous when accounting for the intrinsic mechanical rigidity of the vacuum.</p> </li> </ul> <p>This work marks the transition from purely geometric models to the <strong>Mechanical Theory of the Vacuum</strong>, providing the empirical foundation for a unified understanding of gravitational and quantum anomalies.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19031591 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Technical Appendix: Extra-Galactic Validation of the k-Constant via JWST Data Luca Casprini <p>This research provides the definitive empirical validation of the <strong>Universal Stiffness Constant (<span><span><span><span><span>k</span><span>≈</span></span><span><span>0.037</span></span></span></span></span>)</strong> through the analysis of high-resolution NIRCam data from the <strong>James Webb Space Telescope (JWST)</strong>, specifically targeting the Einstein Ring <strong>SPT-S J041839-4751.8</strong>.</p> <p>By measuring the radial intensity decay of the gravitational lens, we demonstrate that the "Vacuum Stiffness" remains invariant across eight orders of magnitude (<span><span><span><span><span>1</span><span>0<span><span><span><span><span><span><span>8</span></span></span></span></span></span></span></span></span></span></span></span>), showing perfect consistency with previous measurements obtained from the event horizons of supermassive black holes (M87* and Sgr A*).</p> <p><strong>Key Breakthroughs Included:</strong></p> <ul> <li> <p><strong>Scale Invariance:</strong> Verification that spacetime responds as an elastic solid with a fixed modulus from AU to Kiloparsec scales.</p> </li> <li> <p><strong>Hubble Tension Resolution:</strong> Application of the <span><span><span><span><span>k</span></span></span></span></span>-constant as a mechanical damping factor, converging local expansion measurements with CMB data (<span><span><span><span><span><span>H</span><span><span><span><span><span><span><span>0</span></span></span></span><span></span></span></span></span></span><span>≈</span></span><span><span>70.5</span></span></span></span></span> km/s/Mpc).</p> </li> <li> <p><strong>Structural Solution to <span><span><span><span><span>Λ</span></span></span></span></span>:</strong> Resolution of the Cosmological Constant problem by treating vacuum energy as mechanical deformation work.</p> </li> <li> <p><strong>Redundancy of Hypotheses:</strong> Formal demonstration that the introduction of Dark Matter and Gravitons is superfluous when accounting for the intrinsic mechanical rigidity of the vacuum.</p> </li> </ul> <p>This work marks the transition from purely geometric models to the <strong>Mechanical Theory of the Vacuum</strong>, providing the empirical foundation for a unified understanding of gravitational and quantum anomalies.</p> |
| title | Technical Appendix: Extra-Galactic Validation of the k-Constant via JWST Data |
| url | https://doi.org/10.5281/zenodo.19031591 |