A Mechanical-Topological Ontology II: Deriving the Lorentz Transformations as a Theorem of Field Dynamics
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2025
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| _version_ | 1866901298039750656 |
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| author | Conde, S. |
| author_facet | Conde, S. |
| contents | <p><strong>The kinematic effects of Special Relativity are conventionally presented as consequences of geometric postulates regarding the nature of spacetime. This work demonstrates that length contraction and time dilation can instead be derived as theorems from a mechanical and causal ontology of fields. </strong>Building upon a previous framework [Paper I], where fundamental particles are modeled as topological defects in a dynamic vacuum, we treat this vacuum in the continuum limit as a linear elastic medium with a finite propagation speed, <em>c</em>. We first show that the field induced by a source moving through this medium undergoes a necessary anisotropic deformation identical to Lorentz contraction. Subsequently, by deriving the relativistic inertia from the energy of this deformed field and requiring that the particle’s internal quantum phase remains consistent across inertial frames, we obtain time dilation as an inevitable consequence. <strong>This approach reframes Special Relativity as an effective theory describing the hydrodynamics of vacuum interaction, thereby demoting its foundational axioms to derivable consequences of a deeper physical reality.</strong></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17976781 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Mechanical-Topological Ontology II: Deriving the Lorentz Transformations as a Theorem of Field Dynamics Conde, S. Foundations of Physics Special Relativity Lorentz Transformations Causality Dynamic Vacuum Emergent Spacetime Physical Ontology Axiomatic Foundations of Relativity Vacuum as a Medium Vacuum Hydrodynamics Physical Mechanism of Relativity Origin of Length Contraction Origin of Time Dilation Neo-Lorentzian Relativity Aether Theory <p><strong>The kinematic effects of Special Relativity are conventionally presented as consequences of geometric postulates regarding the nature of spacetime. This work demonstrates that length contraction and time dilation can instead be derived as theorems from a mechanical and causal ontology of fields. </strong>Building upon a previous framework [Paper I], where fundamental particles are modeled as topological defects in a dynamic vacuum, we treat this vacuum in the continuum limit as a linear elastic medium with a finite propagation speed, <em>c</em>. We first show that the field induced by a source moving through this medium undergoes a necessary anisotropic deformation identical to Lorentz contraction. Subsequently, by deriving the relativistic inertia from the energy of this deformed field and requiring that the particle’s internal quantum phase remains consistent across inertial frames, we obtain time dilation as an inevitable consequence. <strong>This approach reframes Special Relativity as an effective theory describing the hydrodynamics of vacuum interaction, thereby demoting its foundational axioms to derivable consequences of a deeper physical reality.</strong></p> |
| title | A Mechanical-Topological Ontology II: Deriving the Lorentz Transformations as a Theorem of Field Dynamics |
| topic | Foundations of Physics Special Relativity Lorentz Transformations Causality Dynamic Vacuum Emergent Spacetime Physical Ontology Axiomatic Foundations of Relativity Vacuum as a Medium Vacuum Hydrodynamics Physical Mechanism of Relativity Origin of Length Contraction Origin of Time Dilation Neo-Lorentzian Relativity Aether Theory |
| url | https://doi.org/10.5281/zenodo.17976781 |