The Inherent Contradictions Between 4D Relativity and Emergent Temporal Dynamics: A Spectral-Geometric Critique of the Space-Time Paradigm
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2025
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| _version_ | 1866901637186977792 |
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| author | Lindenhayn, Mark |
| author_facet | Lindenhayn, Mark |
| contents | <p>This work challenges the foundational assumptions of General Relativity by exposing an unresolved contradiction between the static 4D space-time model and the observed emergence of local time, causality, and thermodynamic irreversibility. While Einstein's manifold treats all events as equally real within a block universe, phenomena such as gravitational time dilation, quantum collapse, and entropy gradients imply a fundamentally relational and directional nature of time.</p> <p>By integrating the Fractal-Harmonic Convergence Conjecture and Conformal Collapse Geometry, this paper proposes a spectral-geometric framework in which time arises as a local derivative of energy density and spectral curvature. Singularities, rather than being absolute endpoints, are reinterpreted as asymptotic spectral attractors—resonating with Zeno's paradox.</p> <p>We introduce a 6D hyperspace model composed of three spatial, two temporal, and one entropic dimension, offering a coherent resolution to the paradoxes of causal emergence, the arrow of time, and black hole information retention. This framework redefines time not as a universal coordinate but as a dynamically evolving spectral flow.</p> <p> </p> <p>https://orcid.org/0009-0008-6051-4114</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15733828 |
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| publishDate | 2025 |
| publisher | Zenodo |
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| spellingShingle | The Inherent Contradictions Between 4D Relativity and Emergent Temporal Dynamics: A Spectral-Geometric Critique of the Space-Time Paradigm Lindenhayn, Mark Relativity Spectral Geometry Time Entropy Operator Theory Fractals Paradox Zeno Thermodynamics Thermodynamics Thermodynamics <p>This work challenges the foundational assumptions of General Relativity by exposing an unresolved contradiction between the static 4D space-time model and the observed emergence of local time, causality, and thermodynamic irreversibility. While Einstein's manifold treats all events as equally real within a block universe, phenomena such as gravitational time dilation, quantum collapse, and entropy gradients imply a fundamentally relational and directional nature of time.</p> <p>By integrating the Fractal-Harmonic Convergence Conjecture and Conformal Collapse Geometry, this paper proposes a spectral-geometric framework in which time arises as a local derivative of energy density and spectral curvature. Singularities, rather than being absolute endpoints, are reinterpreted as asymptotic spectral attractors—resonating with Zeno's paradox.</p> <p>We introduce a 6D hyperspace model composed of three spatial, two temporal, and one entropic dimension, offering a coherent resolution to the paradoxes of causal emergence, the arrow of time, and black hole information retention. This framework redefines time not as a universal coordinate but as a dynamically evolving spectral flow.</p> <p> </p> <p>https://orcid.org/0009-0008-6051-4114</p> |
| title | The Inherent Contradictions Between 4D Relativity and Emergent Temporal Dynamics: A Spectral-Geometric Critique of the Space-Time Paradigm |
| topic | Relativity Spectral Geometry Time Entropy Operator Theory Fractals Paradox Zeno Thermodynamics Thermodynamics Thermodynamics |
| url | https://doi.org/10.5281/zenodo.15733828 |