The Dimensional Origin of Chemical Stability: Deriving Atomic Structure and the Rydberg Constant from Structured Vacuum Theory
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2025
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| author | ACOSTA PADILLA, ALFREDO LUIS |
| author_facet | ACOSTA PADILLA, ALFREDO LUIS |
| contents | <p><span>We present a fundamental reformulation of atomic physics and chemistry based on the </span><strong><span>Structured Vacuum Theory (TVS)</span></strong><span>. We demonstrate that the stability of matter is not governed by empirical quantum numbers or probabilistic wavefunctions, but by the geometric saturation of the vacuum lattice.</span></p> <p><span>Key results include:</span></p> <ol> <li> <p><strong><span>Derivation of the Octet Rule:</span></strong><span> The stable electron count of 8 arises directly from the vacuum dimensional signature </span></p> <pre> <code><span><span>(3,3,2,1)</span><span><span><span>(</span><span>3</span><span>,</span><span>3</span><span>,</span><span>2</span><span>,</span><span>1</span><span>)</span></span></span></span></code> </pre> <span>, where 2 temporal dimensions plus 6 spatial/spin dimensions create a saturated geometric shell (</span> <pre> <code><span><span>2+6=8</span><span><span><span>2</span><span>+</span></span><span><span>6</span><span>=</span></span><span><span>8</span></span></span></span></code> </pre> <span>).</span> <p> </p> </li> <li> <p><strong><span>Exact Rydberg Constant:</span></strong><span> We derive the Rydberg constant algebraically as </span></p> <pre> <code><span><span>R∞=mecα2/2h</span><span><span><span><span>R</span><span><span><span><span><span><span><span>∞</span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span>m</span><span><span><span><span><span><span><span>e</span></span></span></span><span></span></span></span></span></span><span>c</span><span><span>α</span><span><span><span><span><span><span><span>2</span></span></span></span></span></span></span></span><span>/2</span><span>h</span></span></span></span></code> </pre> <span>, achieving agreement with CODATA values within </span><strong><span>0.006%</span></strong><span> without free parameters.</span> <p> </p> </li> <li> <p><strong><span>The End of Orbitals:</span></strong><span> Electron orbitals are reinterpreted as standing wave harmonics of the vacuum stress tensor </span></p> <pre> <code><span><span>Ξμν</span><span><span><span>Ξ<span><span><span><span><span><span><span><span>μν</span></span></span></span></span><span></span></span></span></span></span></span></span></span></code> </pre> <span>.</span> <p> </p> </li> <li> <p><strong><span>Periodic Table Deduction:</span></strong><span> The structure of the periodic table </span></p> <pre> <code><span><span>(2,8,18,32)</span><span><span><span>(</span><span>2</span><span>,</span><span>8</span><span>,</span><span>18</span><span>,</span><span>32</span><span>)</span></span></span></span></code> </pre> <span> is derived from the harmonic expansion of vacuum channels, vindicating a pregeometric origin for chemical properties.</span> <p> </p> </li> </ol> <p><span>This work unifies Quantum Mechanics and Chemistry under the single principle of </span><strong><span>Vacuum Geometry</span></strong><span>, eliminating the need for ad-hoc postulates like the Pauli Exclusion Principle, which are shown to be emergent geometric constraints.</span></p> <p><span><span>This paper complements the physical foundations laid out in "Structured Vacuum Theory (TVS)" and the mathematical proofs in "The Exact Rationality of the Fine Structure Constant".</span></span></p> <p> </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17683627 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Dimensional Origin of Chemical Stability: Deriving Atomic Structure and the Rydberg Constant from Structured Vacuum Theory ACOSTA PADILLA, ALFREDO LUIS Structured Vacuum Theory, TVS, Atomic Physics, Quantum Chemistry, Rydberg Constant, Octet Rule, Pregeometry, Dimensional Analysis, Electron Orbitals, Vacuum Geometry, Unified Physics <p><span>We present a fundamental reformulation of atomic physics and chemistry based on the </span><strong><span>Structured Vacuum Theory (TVS)</span></strong><span>. We demonstrate that the stability of matter is not governed by empirical quantum numbers or probabilistic wavefunctions, but by the geometric saturation of the vacuum lattice.</span></p> <p><span>Key results include:</span></p> <ol> <li> <p><strong><span>Derivation of the Octet Rule:</span></strong><span> The stable electron count of 8 arises directly from the vacuum dimensional signature </span></p> <pre> <code><span><span>(3,3,2,1)</span><span><span><span>(</span><span>3</span><span>,</span><span>3</span><span>,</span><span>2</span><span>,</span><span>1</span><span>)</span></span></span></span></code> </pre> <span>, where 2 temporal dimensions plus 6 spatial/spin dimensions create a saturated geometric shell (</span> <pre> <code><span><span>2+6=8</span><span><span><span>2</span><span>+</span></span><span><span>6</span><span>=</span></span><span><span>8</span></span></span></span></code> </pre> <span>).</span> <p> </p> </li> <li> <p><strong><span>Exact Rydberg Constant:</span></strong><span> We derive the Rydberg constant algebraically as </span></p> <pre> <code><span><span>R∞=mecα2/2h</span><span><span><span><span>R</span><span><span><span><span><span><span><span>∞</span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span><span>m</span><span><span><span><span><span><span><span>e</span></span></span></span><span></span></span></span></span></span><span>c</span><span><span>α</span><span><span><span><span><span><span><span>2</span></span></span></span></span></span></span></span><span>/2</span><span>h</span></span></span></span></code> </pre> <span>, achieving agreement with CODATA values within </span><strong><span>0.006%</span></strong><span> without free parameters.</span> <p> </p> </li> <li> <p><strong><span>The End of Orbitals:</span></strong><span> Electron orbitals are reinterpreted as standing wave harmonics of the vacuum stress tensor </span></p> <pre> <code><span><span>Ξμν</span><span><span><span>Ξ<span><span><span><span><span><span><span><span>μν</span></span></span></span></span><span></span></span></span></span></span></span></span></span></code> </pre> <span>.</span> <p> </p> </li> <li> <p><strong><span>Periodic Table Deduction:</span></strong><span> The structure of the periodic table </span></p> <pre> <code><span><span>(2,8,18,32)</span><span><span><span>(</span><span>2</span><span>,</span><span>8</span><span>,</span><span>18</span><span>,</span><span>32</span><span>)</span></span></span></span></code> </pre> <span> is derived from the harmonic expansion of vacuum channels, vindicating a pregeometric origin for chemical properties.</span> <p> </p> </li> </ol> <p><span>This work unifies Quantum Mechanics and Chemistry under the single principle of </span><strong><span>Vacuum Geometry</span></strong><span>, eliminating the need for ad-hoc postulates like the Pauli Exclusion Principle, which are shown to be emergent geometric constraints.</span></p> <p><span><span>This paper complements the physical foundations laid out in "Structured Vacuum Theory (TVS)" and the mathematical proofs in "The Exact Rationality of the Fine Structure Constant".</span></span></p> <p> </p> |
| title | The Dimensional Origin of Chemical Stability: Deriving Atomic Structure and the Rydberg Constant from Structured Vacuum Theory |
| topic | Structured Vacuum Theory, TVS, Atomic Physics, Quantum Chemistry, Rydberg Constant, Octet Rule, Pregeometry, Dimensional Analysis, Electron Orbitals, Vacuum Geometry, Unified Physics |
| url | https://doi.org/10.5281/zenodo.17683627 |