Inertial Buoyancy of Vacuum and the Constant Kβ: A Novel Predictor of Atmospheric Stability and Multi-Scale Cosmological Applications
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| Format: | Recurso digital |
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2025
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| _version_ | 1866902126214512640 |
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| author | BURTIN, Guillaume |
| author_facet | BURTIN, Guillaume |
| contents | <p>This paper introduces the updated formulation of the inertial constant <strong>Kβ</strong>, defined as:</p> <p><span><span><span>Kβ=Mπ⋅R2⋅v2K_β = \frac{\sqrt{M}}{π·R²·v²}</span><span><span><span><span>K</span><span><span><span><span><span><span>β</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span><span><span><span><span>π</span><span>⋅</span><span>R</span><span><span><span><span>2</span></span></span></span><span>⋅</span><span>v</span><span><span><span><span>2</span></span></span></span><span><span><span>M</span></span><span></span></span></span><span></span></span></span></span></span></span></span></span></span></p> <p>where <span><span>MM</span><span><span><span>M</span></span></span></span> is the planetary mass, <span><span>RR</span><span><span><span>R</span></span></span></span> the radius, and <span><span>vv</span><span><span><span>v</span></span></span></span> the orbital velocity of the satellite or atmosphere. The <strong>Kβ constant</strong> acts as a predictive indicator of atmospheric stability across celestial bodies.</p> <p>The new analysis confirms a predictive accuracy of <strong>88.9%</strong> across nine celestial objects, and a <strong>remarkable match</strong> of <strong>101.6%</strong> with the Hubble constant when accounting for the <strong>inertial resistance of vacuum</strong>.</p> <p>The paper proposes that <strong>vacuum behaves as an active inertial fluid</strong>, exerting a directional drag on matter at large scales. This hypothesis offers alternative explanations for:</p> <ul> <li> <p>The persistence and geometry of galactic filaments (95.3% accuracy),</p> </li> <li> <p>The discrepancy in H₀ measurements,</p> </li> <li> <p>The potential existence of a <strong>critical inertial threshold</strong> below which no atmosphere can be sustained.</p> </li> </ul> <p>Applications include <strong>trajectory optimization</strong>, <strong>exoplanet atmosphere prediction</strong>, and a <strong>reinterpretation of dark energy</strong> as a manifestation of the gradient ∇Kβ across spacetime.</p> <p>This version refines the original V1 by introducing:</p> <ul> <li> <p>A clearer dimensional analysis,</p> </li> <li> <p>An expanded corpus of celestial validation cases,</p> </li> <li> <p>And a reformulated expression of vacuum dynamics applicable from planetary to cosmological scales.</p> </li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16791992 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Inertial Buoyancy of Vacuum and the Constant Kβ: A Novel Predictor of Atmospheric Stability and Multi-Scale Cosmological Applications BURTIN, Guillaume inertial vacuum vacuum buoyancy Kb Constant Orbital stability atmospheric retention exoplanet atmosphere galactic filaments <p>This paper introduces the updated formulation of the inertial constant <strong>Kβ</strong>, defined as:</p> <p><span><span><span>Kβ=Mπ⋅R2⋅v2K_β = \frac{\sqrt{M}}{π·R²·v²}</span><span><span><span><span>K</span><span><span><span><span><span><span>β</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span><span><span><span><span>π</span><span>⋅</span><span>R</span><span><span><span><span>2</span></span></span></span><span>⋅</span><span>v</span><span><span><span><span>2</span></span></span></span><span><span><span>M</span></span><span></span></span></span><span></span></span></span></span></span></span></span></span></span></p> <p>where <span><span>MM</span><span><span><span>M</span></span></span></span> is the planetary mass, <span><span>RR</span><span><span><span>R</span></span></span></span> the radius, and <span><span>vv</span><span><span><span>v</span></span></span></span> the orbital velocity of the satellite or atmosphere. The <strong>Kβ constant</strong> acts as a predictive indicator of atmospheric stability across celestial bodies.</p> <p>The new analysis confirms a predictive accuracy of <strong>88.9%</strong> across nine celestial objects, and a <strong>remarkable match</strong> of <strong>101.6%</strong> with the Hubble constant when accounting for the <strong>inertial resistance of vacuum</strong>.</p> <p>The paper proposes that <strong>vacuum behaves as an active inertial fluid</strong>, exerting a directional drag on matter at large scales. This hypothesis offers alternative explanations for:</p> <ul> <li> <p>The persistence and geometry of galactic filaments (95.3% accuracy),</p> </li> <li> <p>The discrepancy in H₀ measurements,</p> </li> <li> <p>The potential existence of a <strong>critical inertial threshold</strong> below which no atmosphere can be sustained.</p> </li> </ul> <p>Applications include <strong>trajectory optimization</strong>, <strong>exoplanet atmosphere prediction</strong>, and a <strong>reinterpretation of dark energy</strong> as a manifestation of the gradient ∇Kβ across spacetime.</p> <p>This version refines the original V1 by introducing:</p> <ul> <li> <p>A clearer dimensional analysis,</p> </li> <li> <p>An expanded corpus of celestial validation cases,</p> </li> <li> <p>And a reformulated expression of vacuum dynamics applicable from planetary to cosmological scales.</p> </li> </ul> |
| title | Inertial Buoyancy of Vacuum and the Constant Kβ: A Novel Predictor of Atmospheric Stability and Multi-Scale Cosmological Applications |
| topic | inertial vacuum vacuum buoyancy Kb Constant Orbital stability atmospheric retention exoplanet atmosphere galactic filaments |
| url | https://doi.org/10.5281/zenodo.16791992 |